Time-dependent trapping of a molecule

Abstract In this paper, we present a theoretical, time-dependent quantum mechanical study of a diatomic, homonuclear molecule subject to an external trapping potential. We choose a Gaussian wave packet to represent the wave function of the center of mass (c.m.) of the molecule, and calculate its pro...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Shegelski, M. R. A. [verfasserIn] Pittman, J. Vogt, R. Schaan, B.

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2012

Schlagwörter:	Wave Packet Initial Location Trapping Potential Optical Trap Experimental Trapping

Anmerkung:	© Società Italiana di Fisica and Springer 2012

Übergeordnetes Werk:	Enthalten in: The European physical journal - Berlin : Springer, 2011, 127(2012), 2 vom: 15. Feb.
Übergeordnetes Werk:	volume:127 ; year:2012 ; number:2 ; day:15 ; month:02

Links:	Volltext

DOI / URN:	10.1140/epjp/i2012-12017-y

Katalog-ID:	SPR031449824

Internformat


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520			\|a Abstract In this paper, we present a theoretical, time-dependent quantum mechanical study of a diatomic, homonuclear molecule subject to an external trapping potential. We choose a Gaussian wave packet to represent the wave function of the center of mass (c.m.) of the molecule, and calculate its propagation numerically using Crank-Nicholson integration. We consider different initial locations of the wave function of the c.m. of the molecule: inside the trapping potential, outside the trap, and partly inside and partly outside. We also examine for each initial location the motion for a range of initial speeds of the c.m. relative to the trap. We calculate the probability that the molecule ends up trapped inside the potential well as well as the probabilities that the molecule will escape the trap by tunneling past or reflecting off the trapping potential. We also reveal the intermediary behavior of the motion, including oscillations in time of the position of the c.m., especially near the edges of the trap, as well as oscillations between bound and unbound molecular states. We compare our results with real systems and experimental work on trapping of molecules at low temperatures.
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912			\|a GBV_ILN_170
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912			\|a GBV_ILN_281
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
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912			\|a GBV_ILN_2008
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publishDate	2012
allfields	10.1140/epjp/i2012-12017-y doi (DE-627)SPR031449824 (SPR)i2012-12017-y-e DE-627 ger DE-627 rakwb eng Shegelski, M. R. A. verfasserin aut Time-dependent trapping of a molecule 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Società Italiana di Fisica and Springer 2012 Abstract In this paper, we present a theoretical, time-dependent quantum mechanical study of a diatomic, homonuclear molecule subject to an external trapping potential. We choose a Gaussian wave packet to represent the wave function of the center of mass (c.m.) of the molecule, and calculate its propagation numerically using Crank-Nicholson integration. We consider different initial locations of the wave function of the c.m. of the molecule: inside the trapping potential, outside the trap, and partly inside and partly outside. We also examine for each initial location the motion for a range of initial speeds of the c.m. relative to the trap. We calculate the probability that the molecule ends up trapped inside the potential well as well as the probabilities that the molecule will escape the trap by tunneling past or reflecting off the trapping potential. We also reveal the intermediary behavior of the motion, including oscillations in time of the position of the c.m., especially near the edges of the trap, as well as oscillations between bound and unbound molecular states. We compare our results with real systems and experimental work on trapping of molecules at low temperatures. Wave Packet (dpeaa)DE-He213 Initial Location (dpeaa)DE-He213 Trapping Potential (dpeaa)DE-He213 Optical Trap (dpeaa)DE-He213 Experimental Trapping (dpeaa)DE-He213 Pittman, J. aut Vogt, R. aut Schaan, B. aut Enthalten in The European physical journal Berlin : Springer, 2011 127(2012), 2 vom: 15. Feb. (DE-627)647653958 (DE-600)2595693-0 2190-5444 nnns volume:127 year:2012 number:2 day:15 month:02 https://dx.doi.org/10.1140/epjp/i2012-12017-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 127 2012 2 15 02
spelling	10.1140/epjp/i2012-12017-y doi (DE-627)SPR031449824 (SPR)i2012-12017-y-e DE-627 ger DE-627 rakwb eng Shegelski, M. R. A. verfasserin aut Time-dependent trapping of a molecule 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Società Italiana di Fisica and Springer 2012 Abstract In this paper, we present a theoretical, time-dependent quantum mechanical study of a diatomic, homonuclear molecule subject to an external trapping potential. We choose a Gaussian wave packet to represent the wave function of the center of mass (c.m.) of the molecule, and calculate its propagation numerically using Crank-Nicholson integration. We consider different initial locations of the wave function of the c.m. of the molecule: inside the trapping potential, outside the trap, and partly inside and partly outside. We also examine for each initial location the motion for a range of initial speeds of the c.m. relative to the trap. We calculate the probability that the molecule ends up trapped inside the potential well as well as the probabilities that the molecule will escape the trap by tunneling past or reflecting off the trapping potential. We also reveal the intermediary behavior of the motion, including oscillations in time of the position of the c.m., especially near the edges of the trap, as well as oscillations between bound and unbound molecular states. We compare our results with real systems and experimental work on trapping of molecules at low temperatures. Wave Packet (dpeaa)DE-He213 Initial Location (dpeaa)DE-He213 Trapping Potential (dpeaa)DE-He213 Optical Trap (dpeaa)DE-He213 Experimental Trapping (dpeaa)DE-He213 Pittman, J. aut Vogt, R. aut Schaan, B. aut Enthalten in The European physical journal Berlin : Springer, 2011 127(2012), 2 vom: 15. Feb. (DE-627)647653958 (DE-600)2595693-0 2190-5444 nnns volume:127 year:2012 number:2 day:15 month:02 https://dx.doi.org/10.1140/epjp/i2012-12017-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 127 2012 2 15 02
allfields_unstemmed	10.1140/epjp/i2012-12017-y doi (DE-627)SPR031449824 (SPR)i2012-12017-y-e DE-627 ger DE-627 rakwb eng Shegelski, M. R. A. verfasserin aut Time-dependent trapping of a molecule 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Società Italiana di Fisica and Springer 2012 Abstract In this paper, we present a theoretical, time-dependent quantum mechanical study of a diatomic, homonuclear molecule subject to an external trapping potential. We choose a Gaussian wave packet to represent the wave function of the center of mass (c.m.) of the molecule, and calculate its propagation numerically using Crank-Nicholson integration. We consider different initial locations of the wave function of the c.m. of the molecule: inside the trapping potential, outside the trap, and partly inside and partly outside. We also examine for each initial location the motion for a range of initial speeds of the c.m. relative to the trap. We calculate the probability that the molecule ends up trapped inside the potential well as well as the probabilities that the molecule will escape the trap by tunneling past or reflecting off the trapping potential. We also reveal the intermediary behavior of the motion, including oscillations in time of the position of the c.m., especially near the edges of the trap, as well as oscillations between bound and unbound molecular states. We compare our results with real systems and experimental work on trapping of molecules at low temperatures. Wave Packet (dpeaa)DE-He213 Initial Location (dpeaa)DE-He213 Trapping Potential (dpeaa)DE-He213 Optical Trap (dpeaa)DE-He213 Experimental Trapping (dpeaa)DE-He213 Pittman, J. aut Vogt, R. aut Schaan, B. aut Enthalten in The European physical journal Berlin : Springer, 2011 127(2012), 2 vom: 15. Feb. (DE-627)647653958 (DE-600)2595693-0 2190-5444 nnns volume:127 year:2012 number:2 day:15 month:02 https://dx.doi.org/10.1140/epjp/i2012-12017-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 127 2012 2 15 02
allfieldsGer	10.1140/epjp/i2012-12017-y doi (DE-627)SPR031449824 (SPR)i2012-12017-y-e DE-627 ger DE-627 rakwb eng Shegelski, M. R. A. verfasserin aut Time-dependent trapping of a molecule 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Società Italiana di Fisica and Springer 2012 Abstract In this paper, we present a theoretical, time-dependent quantum mechanical study of a diatomic, homonuclear molecule subject to an external trapping potential. We choose a Gaussian wave packet to represent the wave function of the center of mass (c.m.) of the molecule, and calculate its propagation numerically using Crank-Nicholson integration. We consider different initial locations of the wave function of the c.m. of the molecule: inside the trapping potential, outside the trap, and partly inside and partly outside. We also examine for each initial location the motion for a range of initial speeds of the c.m. relative to the trap. We calculate the probability that the molecule ends up trapped inside the potential well as well as the probabilities that the molecule will escape the trap by tunneling past or reflecting off the trapping potential. We also reveal the intermediary behavior of the motion, including oscillations in time of the position of the c.m., especially near the edges of the trap, as well as oscillations between bound and unbound molecular states. We compare our results with real systems and experimental work on trapping of molecules at low temperatures. Wave Packet (dpeaa)DE-He213 Initial Location (dpeaa)DE-He213 Trapping Potential (dpeaa)DE-He213 Optical Trap (dpeaa)DE-He213 Experimental Trapping (dpeaa)DE-He213 Pittman, J. aut Vogt, R. aut Schaan, B. aut Enthalten in The European physical journal Berlin : Springer, 2011 127(2012), 2 vom: 15. Feb. (DE-627)647653958 (DE-600)2595693-0 2190-5444 nnns volume:127 year:2012 number:2 day:15 month:02 https://dx.doi.org/10.1140/epjp/i2012-12017-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 127 2012 2 15 02
allfieldsSound	10.1140/epjp/i2012-12017-y doi (DE-627)SPR031449824 (SPR)i2012-12017-y-e DE-627 ger DE-627 rakwb eng Shegelski, M. R. A. verfasserin aut Time-dependent trapping of a molecule 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Società Italiana di Fisica and Springer 2012 Abstract In this paper, we present a theoretical, time-dependent quantum mechanical study of a diatomic, homonuclear molecule subject to an external trapping potential. We choose a Gaussian wave packet to represent the wave function of the center of mass (c.m.) of the molecule, and calculate its propagation numerically using Crank-Nicholson integration. We consider different initial locations of the wave function of the c.m. of the molecule: inside the trapping potential, outside the trap, and partly inside and partly outside. We also examine for each initial location the motion for a range of initial speeds of the c.m. relative to the trap. We calculate the probability that the molecule ends up trapped inside the potential well as well as the probabilities that the molecule will escape the trap by tunneling past or reflecting off the trapping potential. We also reveal the intermediary behavior of the motion, including oscillations in time of the position of the c.m., especially near the edges of the trap, as well as oscillations between bound and unbound molecular states. We compare our results with real systems and experimental work on trapping of molecules at low temperatures. Wave Packet (dpeaa)DE-He213 Initial Location (dpeaa)DE-He213 Trapping Potential (dpeaa)DE-He213 Optical Trap (dpeaa)DE-He213 Experimental Trapping (dpeaa)DE-He213 Pittman, J. aut Vogt, R. aut Schaan, B. aut Enthalten in The European physical journal Berlin : Springer, 2011 127(2012), 2 vom: 15. Feb. (DE-627)647653958 (DE-600)2595693-0 2190-5444 nnns volume:127 year:2012 number:2 day:15 month:02 https://dx.doi.org/10.1140/epjp/i2012-12017-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 127 2012 2 15 02
language	English
source	Enthalten in The European physical journal 127(2012), 2 vom: 15. Feb. volume:127 year:2012 number:2 day:15 month:02
sourceStr	Enthalten in The European physical journal 127(2012), 2 vom: 15. Feb. volume:127 year:2012 number:2 day:15 month:02
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Wave Packet Initial Location Trapping Potential Optical Trap Experimental Trapping
isfreeaccess_bool	false
container_title	The European physical journal
authorswithroles_txt_mv	Shegelski, M. R. A. @@aut@@ Pittman, J. @@aut@@ Vogt, R. @@aut@@ Schaan, B. @@aut@@
publishDateDaySort_date	2012-02-15T00:00:00Z
hierarchy_top_id	647653958
id	SPR031449824
language_de	englisch
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author	Shegelski, M. R. A.
spellingShingle	Shegelski, M. R. A. misc Wave Packet misc Initial Location misc Trapping Potential misc Optical Trap misc Experimental Trapping Time-dependent trapping of a molecule
authorStr	Shegelski, M. R. A.
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topic_title	Time-dependent trapping of a molecule Wave Packet (dpeaa)DE-He213 Initial Location (dpeaa)DE-He213 Trapping Potential (dpeaa)DE-He213 Optical Trap (dpeaa)DE-He213 Experimental Trapping (dpeaa)DE-He213
topic	misc Wave Packet misc Initial Location misc Trapping Potential misc Optical Trap misc Experimental Trapping
topic_unstemmed	misc Wave Packet misc Initial Location misc Trapping Potential misc Optical Trap misc Experimental Trapping
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title	Time-dependent trapping of a molecule
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title_full	Time-dependent trapping of a molecule
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author_browse	Shegelski, M. R. A. Pittman, J. Vogt, R. Schaan, B.
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author-letter	Shegelski, M. R. A.
doi_str_mv	10.1140/epjp/i2012-12017-y
title_sort	time-dependent trapping of a molecule
title_auth	Time-dependent trapping of a molecule
abstract	Abstract In this paper, we present a theoretical, time-dependent quantum mechanical study of a diatomic, homonuclear molecule subject to an external trapping potential. We choose a Gaussian wave packet to represent the wave function of the center of mass (c.m.) of the molecule, and calculate its propagation numerically using Crank-Nicholson integration. We consider different initial locations of the wave function of the c.m. of the molecule: inside the trapping potential, outside the trap, and partly inside and partly outside. We also examine for each initial location the motion for a range of initial speeds of the c.m. relative to the trap. We calculate the probability that the molecule ends up trapped inside the potential well as well as the probabilities that the molecule will escape the trap by tunneling past or reflecting off the trapping potential. We also reveal the intermediary behavior of the motion, including oscillations in time of the position of the c.m., especially near the edges of the trap, as well as oscillations between bound and unbound molecular states. We compare our results with real systems and experimental work on trapping of molecules at low temperatures. © Società Italiana di Fisica and Springer 2012
abstractGer	Abstract In this paper, we present a theoretical, time-dependent quantum mechanical study of a diatomic, homonuclear molecule subject to an external trapping potential. We choose a Gaussian wave packet to represent the wave function of the center of mass (c.m.) of the molecule, and calculate its propagation numerically using Crank-Nicholson integration. We consider different initial locations of the wave function of the c.m. of the molecule: inside the trapping potential, outside the trap, and partly inside and partly outside. We also examine for each initial location the motion for a range of initial speeds of the c.m. relative to the trap. We calculate the probability that the molecule ends up trapped inside the potential well as well as the probabilities that the molecule will escape the trap by tunneling past or reflecting off the trapping potential. We also reveal the intermediary behavior of the motion, including oscillations in time of the position of the c.m., especially near the edges of the trap, as well as oscillations between bound and unbound molecular states. We compare our results with real systems and experimental work on trapping of molecules at low temperatures. © Società Italiana di Fisica and Springer 2012
abstract_unstemmed	Abstract In this paper, we present a theoretical, time-dependent quantum mechanical study of a diatomic, homonuclear molecule subject to an external trapping potential. We choose a Gaussian wave packet to represent the wave function of the center of mass (c.m.) of the molecule, and calculate its propagation numerically using Crank-Nicholson integration. We consider different initial locations of the wave function of the c.m. of the molecule: inside the trapping potential, outside the trap, and partly inside and partly outside. We also examine for each initial location the motion for a range of initial speeds of the c.m. relative to the trap. We calculate the probability that the molecule ends up trapped inside the potential well as well as the probabilities that the molecule will escape the trap by tunneling past or reflecting off the trapping potential. We also reveal the intermediary behavior of the motion, including oscillations in time of the position of the c.m., especially near the edges of the trap, as well as oscillations between bound and unbound molecular states. We compare our results with real systems and experimental work on trapping of molecules at low temperatures. © Società Italiana di Fisica and Springer 2012
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container_issue	2
title_short	Time-dependent trapping of a molecule
url	https://dx.doi.org/10.1140/epjp/i2012-12017-y
remote_bool	true
author2	Pittman, J. Vogt, R. Schaan, B.
author2Str	Pittman, J. Vogt, R. Schaan, B.
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doi_str	10.1140/epjp/i2012-12017-y
up_date	2024-07-03T23:46:47.555Z
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score	7.3999157

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Time-dependent trapping of a molecule

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