The difficulties in the mathematical definition of path integrals are overcome in the theory of continuous quantum measurements
Abstract Any real physical process takes place in an external (with respect to the investigated system) medium whose state reflects in one form or another information about the behavior of the system. Therefore, a real model of any process must include a description of the measurement process. This...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Menskii, M. B. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1992 |
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| Schlagwörter: |
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| Anmerkung: |
© Plenum Publishing Corporation 1992 |
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| Übergeordnetes Werk: |
Enthalten in: Theoretical and mathematical physics - Kluwer Academic Publishers-Plenum Publishers, 1969, 93(1992), 2 vom: Nov., Seite 1262-1267 |
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volume:93 ; year:1992 ; number:2 ; month:11 ; pages:1262-1267 |
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10.1007/BF01083524 |
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10.1007/BF01083524 doi (DE-627)OLC2054209015 (DE-He213)BF01083524-p DE-627 ger DE-627 rakwb eng 530 VZ Menskii, M. B. verfasserin aut The difficulties in the mathematical definition of path integrals are overcome in the theory of continuous quantum measurements 1992 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1992 Abstract Any real physical process takes place in an external (with respect to the investigated system) medium whose state reflects in one form or another information about the behavior of the system. Therefore, a real model of any process must include a description of the measurement process. This has the consequence that the dynamics of a real system contains both quantum and classical elements. Mathematically, a quantum system subject to continuous measurement can be described by a restricted path integral. The Feynman path integral that is usually employed is an idealization that is not correct in all cases. In a real situation in which the path integral is restricted, the difficulties associated with the mathematical definition of the path integral disappear. These difficulties are in fact a consequence of an unphysical idealization — the neglect of the fact that some information about the behavior of the quantum system remains in classical form in the environment. Physical Process Quantum System Real System Continuous Measurement Real Model Enthalten in Theoretical and mathematical physics Kluwer Academic Publishers-Plenum Publishers, 1969 93(1992), 2 vom: Nov., Seite 1262-1267 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:93 year:1992 number:2 month:11 pages:1262-1267 https://doi.org/10.1007/BF01083524 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2012 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4193 GBV_ILN_4310 GBV_ILN_4318 GBV_ILN_4700 AR 93 1992 2 11 1262-1267 |
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10.1007/BF01083524 doi (DE-627)OLC2054209015 (DE-He213)BF01083524-p DE-627 ger DE-627 rakwb eng 530 VZ Menskii, M. B. verfasserin aut The difficulties in the mathematical definition of path integrals are overcome in the theory of continuous quantum measurements 1992 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1992 Abstract Any real physical process takes place in an external (with respect to the investigated system) medium whose state reflects in one form or another information about the behavior of the system. Therefore, a real model of any process must include a description of the measurement process. This has the consequence that the dynamics of a real system contains both quantum and classical elements. Mathematically, a quantum system subject to continuous measurement can be described by a restricted path integral. The Feynman path integral that is usually employed is an idealization that is not correct in all cases. In a real situation in which the path integral is restricted, the difficulties associated with the mathematical definition of the path integral disappear. These difficulties are in fact a consequence of an unphysical idealization — the neglect of the fact that some information about the behavior of the quantum system remains in classical form in the environment. Physical Process Quantum System Real System Continuous Measurement Real Model Enthalten in Theoretical and mathematical physics Kluwer Academic Publishers-Plenum Publishers, 1969 93(1992), 2 vom: Nov., Seite 1262-1267 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:93 year:1992 number:2 month:11 pages:1262-1267 https://doi.org/10.1007/BF01083524 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2012 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4193 GBV_ILN_4310 GBV_ILN_4318 GBV_ILN_4700 AR 93 1992 2 11 1262-1267 |
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10.1007/BF01083524 doi (DE-627)OLC2054209015 (DE-He213)BF01083524-p DE-627 ger DE-627 rakwb eng 530 VZ Menskii, M. B. verfasserin aut The difficulties in the mathematical definition of path integrals are overcome in the theory of continuous quantum measurements 1992 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1992 Abstract Any real physical process takes place in an external (with respect to the investigated system) medium whose state reflects in one form or another information about the behavior of the system. Therefore, a real model of any process must include a description of the measurement process. This has the consequence that the dynamics of a real system contains both quantum and classical elements. Mathematically, a quantum system subject to continuous measurement can be described by a restricted path integral. The Feynman path integral that is usually employed is an idealization that is not correct in all cases. In a real situation in which the path integral is restricted, the difficulties associated with the mathematical definition of the path integral disappear. These difficulties are in fact a consequence of an unphysical idealization — the neglect of the fact that some information about the behavior of the quantum system remains in classical form in the environment. Physical Process Quantum System Real System Continuous Measurement Real Model Enthalten in Theoretical and mathematical physics Kluwer Academic Publishers-Plenum Publishers, 1969 93(1992), 2 vom: Nov., Seite 1262-1267 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:93 year:1992 number:2 month:11 pages:1262-1267 https://doi.org/10.1007/BF01083524 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2012 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4193 GBV_ILN_4310 GBV_ILN_4318 GBV_ILN_4700 AR 93 1992 2 11 1262-1267 |
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10.1007/BF01083524 doi (DE-627)OLC2054209015 (DE-He213)BF01083524-p DE-627 ger DE-627 rakwb eng 530 VZ Menskii, M. B. verfasserin aut The difficulties in the mathematical definition of path integrals are overcome in the theory of continuous quantum measurements 1992 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1992 Abstract Any real physical process takes place in an external (with respect to the investigated system) medium whose state reflects in one form or another information about the behavior of the system. Therefore, a real model of any process must include a description of the measurement process. This has the consequence that the dynamics of a real system contains both quantum and classical elements. Mathematically, a quantum system subject to continuous measurement can be described by a restricted path integral. The Feynman path integral that is usually employed is an idealization that is not correct in all cases. In a real situation in which the path integral is restricted, the difficulties associated with the mathematical definition of the path integral disappear. These difficulties are in fact a consequence of an unphysical idealization — the neglect of the fact that some information about the behavior of the quantum system remains in classical form in the environment. Physical Process Quantum System Real System Continuous Measurement Real Model Enthalten in Theoretical and mathematical physics Kluwer Academic Publishers-Plenum Publishers, 1969 93(1992), 2 vom: Nov., Seite 1262-1267 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:93 year:1992 number:2 month:11 pages:1262-1267 https://doi.org/10.1007/BF01083524 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2012 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4193 GBV_ILN_4310 GBV_ILN_4318 GBV_ILN_4700 AR 93 1992 2 11 1262-1267 |
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10.1007/BF01083524 doi (DE-627)OLC2054209015 (DE-He213)BF01083524-p DE-627 ger DE-627 rakwb eng 530 VZ Menskii, M. B. verfasserin aut The difficulties in the mathematical definition of path integrals are overcome in the theory of continuous quantum measurements 1992 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1992 Abstract Any real physical process takes place in an external (with respect to the investigated system) medium whose state reflects in one form or another information about the behavior of the system. Therefore, a real model of any process must include a description of the measurement process. This has the consequence that the dynamics of a real system contains both quantum and classical elements. Mathematically, a quantum system subject to continuous measurement can be described by a restricted path integral. The Feynman path integral that is usually employed is an idealization that is not correct in all cases. In a real situation in which the path integral is restricted, the difficulties associated with the mathematical definition of the path integral disappear. These difficulties are in fact a consequence of an unphysical idealization — the neglect of the fact that some information about the behavior of the quantum system remains in classical form in the environment. Physical Process Quantum System Real System Continuous Measurement Real Model Enthalten in Theoretical and mathematical physics Kluwer Academic Publishers-Plenum Publishers, 1969 93(1992), 2 vom: Nov., Seite 1262-1267 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:93 year:1992 number:2 month:11 pages:1262-1267 https://doi.org/10.1007/BF01083524 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2012 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4193 GBV_ILN_4310 GBV_ILN_4318 GBV_ILN_4700 AR 93 1992 2 11 1262-1267 |
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Abstract Any real physical process takes place in an external (with respect to the investigated system) medium whose state reflects in one form or another information about the behavior of the system. Therefore, a real model of any process must include a description of the measurement process. This has the consequence that the dynamics of a real system contains both quantum and classical elements. Mathematically, a quantum system subject to continuous measurement can be described by a restricted path integral. The Feynman path integral that is usually employed is an idealization that is not correct in all cases. In a real situation in which the path integral is restricted, the difficulties associated with the mathematical definition of the path integral disappear. These difficulties are in fact a consequence of an unphysical idealization — the neglect of the fact that some information about the behavior of the quantum system remains in classical form in the environment. © Plenum Publishing Corporation 1992 |
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Abstract Any real physical process takes place in an external (with respect to the investigated system) medium whose state reflects in one form or another information about the behavior of the system. Therefore, a real model of any process must include a description of the measurement process. This has the consequence that the dynamics of a real system contains both quantum and classical elements. Mathematically, a quantum system subject to continuous measurement can be described by a restricted path integral. The Feynman path integral that is usually employed is an idealization that is not correct in all cases. In a real situation in which the path integral is restricted, the difficulties associated with the mathematical definition of the path integral disappear. These difficulties are in fact a consequence of an unphysical idealization — the neglect of the fact that some information about the behavior of the quantum system remains in classical form in the environment. © Plenum Publishing Corporation 1992 |
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Abstract Any real physical process takes place in an external (with respect to the investigated system) medium whose state reflects in one form or another information about the behavior of the system. Therefore, a real model of any process must include a description of the measurement process. This has the consequence that the dynamics of a real system contains both quantum and classical elements. Mathematically, a quantum system subject to continuous measurement can be described by a restricted path integral. The Feynman path integral that is usually employed is an idealization that is not correct in all cases. In a real situation in which the path integral is restricted, the difficulties associated with the mathematical definition of the path integral disappear. These difficulties are in fact a consequence of an unphysical idealization — the neglect of the fact that some information about the behavior of the quantum system remains in classical form in the environment. © Plenum Publishing Corporation 1992 |
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The difficulties in the mathematical definition of path integrals are overcome in the theory of continuous quantum measurements |
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