Scattering Matrices in Many-Body Scattering
Abstract: In this paper we show that generalized eigenfunctions of many-body Hamiltonians H with short-range two-body interactions have distributional asymptotics at non-threshold channels. The leading terms of the asymptotics can be used to define a scattering matrix, and we show that this is the s...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Vasy, András [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
1999 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag Berlin Heidelberg 1999 |
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| Übergeordnetes Werk: |
Enthalten in: Communications in mathematical physics - Springer-Verlag, 1965, 200(1999), 1 vom: Jan., Seite 105-124 |
|---|---|
| Übergeordnetes Werk: |
volume:200 ; year:1999 ; number:1 ; month:01 ; pages:105-124 |
| Links: |
|---|
| DOI / URN: |
10.1007/s002200050524 |
|---|
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OLC203887249X |
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| 520 | |a Abstract: In this paper we show that generalized eigenfunctions of many-body Hamiltonians H with short-range two-body interactions have distributional asymptotics at non-threshold channels. The leading terms of the asymptotics can be used to define a scattering matrix, and we show that this is the same (up to normalization) as that arising from the standard wave-operator approach. We also prove the existence of local distributional asymptotics for locally approximate generalized eigenfunctions in the more general setting of short range perturbations of a scattering metric, defined by Melrose in [13]. | ||
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| 650 | 4 | |a Distributional Asymptotics | |
| 650 | 4 | |a Generalize Eigenfunctions | |
| 650 | 4 | |a Range Perturbation | |
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10.1007/s002200050524 doi (DE-627)OLC203887249X (DE-He213)s002200050524-p DE-627 ger DE-627 rakwb eng 530 510 VZ Vasy, András verfasserin aut Scattering Matrices in Many-Body Scattering 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 1999 Abstract: In this paper we show that generalized eigenfunctions of many-body Hamiltonians H with short-range two-body interactions have distributional asymptotics at non-threshold channels. The leading terms of the asymptotics can be used to define a scattering matrix, and we show that this is the same (up to normalization) as that arising from the standard wave-operator approach. We also prove the existence of local distributional asymptotics for locally approximate generalized eigenfunctions in the more general setting of short range perturbations of a scattering metric, defined by Melrose in [13]. General Setting Short Range Distributional Asymptotics Generalize Eigenfunctions Range Perturbation Enthalten in Communications in mathematical physics Springer-Verlag, 1965 200(1999), 1 vom: Jan., Seite 105-124 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:200 year:1999 number:1 month:01 pages:105-124 https://doi.org/10.1007/s002200050524 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4028 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 AR 200 1999 1 01 105-124 |
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10.1007/s002200050524 doi (DE-627)OLC203887249X (DE-He213)s002200050524-p DE-627 ger DE-627 rakwb eng 530 510 VZ Vasy, András verfasserin aut Scattering Matrices in Many-Body Scattering 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 1999 Abstract: In this paper we show that generalized eigenfunctions of many-body Hamiltonians H with short-range two-body interactions have distributional asymptotics at non-threshold channels. The leading terms of the asymptotics can be used to define a scattering matrix, and we show that this is the same (up to normalization) as that arising from the standard wave-operator approach. We also prove the existence of local distributional asymptotics for locally approximate generalized eigenfunctions in the more general setting of short range perturbations of a scattering metric, defined by Melrose in [13]. General Setting Short Range Distributional Asymptotics Generalize Eigenfunctions Range Perturbation Enthalten in Communications in mathematical physics Springer-Verlag, 1965 200(1999), 1 vom: Jan., Seite 105-124 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:200 year:1999 number:1 month:01 pages:105-124 https://doi.org/10.1007/s002200050524 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4028 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 AR 200 1999 1 01 105-124 |
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10.1007/s002200050524 doi (DE-627)OLC203887249X (DE-He213)s002200050524-p DE-627 ger DE-627 rakwb eng 530 510 VZ Vasy, András verfasserin aut Scattering Matrices in Many-Body Scattering 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 1999 Abstract: In this paper we show that generalized eigenfunctions of many-body Hamiltonians H with short-range two-body interactions have distributional asymptotics at non-threshold channels. The leading terms of the asymptotics can be used to define a scattering matrix, and we show that this is the same (up to normalization) as that arising from the standard wave-operator approach. We also prove the existence of local distributional asymptotics for locally approximate generalized eigenfunctions in the more general setting of short range perturbations of a scattering metric, defined by Melrose in [13]. General Setting Short Range Distributional Asymptotics Generalize Eigenfunctions Range Perturbation Enthalten in Communications in mathematical physics Springer-Verlag, 1965 200(1999), 1 vom: Jan., Seite 105-124 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:200 year:1999 number:1 month:01 pages:105-124 https://doi.org/10.1007/s002200050524 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4028 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 AR 200 1999 1 01 105-124 |
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10.1007/s002200050524 doi (DE-627)OLC203887249X (DE-He213)s002200050524-p DE-627 ger DE-627 rakwb eng 530 510 VZ Vasy, András verfasserin aut Scattering Matrices in Many-Body Scattering 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 1999 Abstract: In this paper we show that generalized eigenfunctions of many-body Hamiltonians H with short-range two-body interactions have distributional asymptotics at non-threshold channels. The leading terms of the asymptotics can be used to define a scattering matrix, and we show that this is the same (up to normalization) as that arising from the standard wave-operator approach. We also prove the existence of local distributional asymptotics for locally approximate generalized eigenfunctions in the more general setting of short range perturbations of a scattering metric, defined by Melrose in [13]. General Setting Short Range Distributional Asymptotics Generalize Eigenfunctions Range Perturbation Enthalten in Communications in mathematical physics Springer-Verlag, 1965 200(1999), 1 vom: Jan., Seite 105-124 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:200 year:1999 number:1 month:01 pages:105-124 https://doi.org/10.1007/s002200050524 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4028 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 AR 200 1999 1 01 105-124 |
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Scattering Matrices in Many-Body Scattering |
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Vasy, András |
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Communications in mathematical physics |
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Communications in mathematical physics |
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eng |
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500 - Science |
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1999 |
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105 |
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Vasy, András |
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200 |
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530 510 VZ |
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Aufsätze |
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Vasy, András |
| doi_str_mv |
10.1007/s002200050524 |
| dewey-full |
530 510 |
| title_sort |
scattering matrices in many-body scattering |
| title_auth |
Scattering Matrices in Many-Body Scattering |
| abstract |
Abstract: In this paper we show that generalized eigenfunctions of many-body Hamiltonians H with short-range two-body interactions have distributional asymptotics at non-threshold channels. The leading terms of the asymptotics can be used to define a scattering matrix, and we show that this is the same (up to normalization) as that arising from the standard wave-operator approach. We also prove the existence of local distributional asymptotics for locally approximate generalized eigenfunctions in the more general setting of short range perturbations of a scattering metric, defined by Melrose in [13]. © Springer-Verlag Berlin Heidelberg 1999 |
| abstractGer |
Abstract: In this paper we show that generalized eigenfunctions of many-body Hamiltonians H with short-range two-body interactions have distributional asymptotics at non-threshold channels. The leading terms of the asymptotics can be used to define a scattering matrix, and we show that this is the same (up to normalization) as that arising from the standard wave-operator approach. We also prove the existence of local distributional asymptotics for locally approximate generalized eigenfunctions in the more general setting of short range perturbations of a scattering metric, defined by Melrose in [13]. © Springer-Verlag Berlin Heidelberg 1999 |
| abstract_unstemmed |
Abstract: In this paper we show that generalized eigenfunctions of many-body Hamiltonians H with short-range two-body interactions have distributional asymptotics at non-threshold channels. The leading terms of the asymptotics can be used to define a scattering matrix, and we show that this is the same (up to normalization) as that arising from the standard wave-operator approach. We also prove the existence of local distributional asymptotics for locally approximate generalized eigenfunctions in the more general setting of short range perturbations of a scattering metric, defined by Melrose in [13]. © Springer-Verlag Berlin Heidelberg 1999 |
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| title_short |
Scattering Matrices in Many-Body Scattering |
| url |
https://doi.org/10.1007/s002200050524 |
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