Spectral Shift Function for Trapping Energies¶in the Semiclassical Limit
Abstract: Semiclassical asymptotics of the spectral shift function (SSF) for Schrödinger operator is studied at trapping energies. It is shown that the SSF converges to sum of a smooth function and a step function, which is essentially the counting function of resonances. In particular, the Weyl asy...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Nakamura, Shu [verfasserIn] |
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| Format: |
Artikel |
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| 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, 208(1999), 1 vom: Dez., Seite 173-193 |
|---|---|
| Übergeordnetes Werk: |
volume:208 ; year:1999 ; number:1 ; month:12 ; pages:173-193 |
| Links: |
|---|
| DOI / URN: |
10.1007/s002200050753 |
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OLC2038874832 |
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10.1007/s002200050753 doi (DE-627)OLC2038874832 (DE-He213)s002200050753-p DE-627 ger DE-627 rakwb eng 530 510 VZ Nakamura, Shu verfasserin aut Spectral Shift Function for Trapping Energies¶in the Semiclassical Limit 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 1999 Abstract: Semiclassical asymptotics of the spectral shift function (SSF) for Schrödinger operator is studied at trapping energies. It is shown that the SSF converges to sum of a smooth function and a step function, which is essentially the counting function of resonances. In particular, the Weyl asymptotics is proved. Smooth Function Step Function Spectral Shift Counting Function Shift Function Enthalten in Communications in mathematical physics Springer-Verlag, 1965 208(1999), 1 vom: Dez., Seite 173-193 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:208 year:1999 number:1 month:12 pages:173-193 https://doi.org/10.1007/s002200050753 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 208 1999 1 12 173-193 |
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10.1007/s002200050753 doi (DE-627)OLC2038874832 (DE-He213)s002200050753-p DE-627 ger DE-627 rakwb eng 530 510 VZ Nakamura, Shu verfasserin aut Spectral Shift Function for Trapping Energies¶in the Semiclassical Limit 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 1999 Abstract: Semiclassical asymptotics of the spectral shift function (SSF) for Schrödinger operator is studied at trapping energies. It is shown that the SSF converges to sum of a smooth function and a step function, which is essentially the counting function of resonances. In particular, the Weyl asymptotics is proved. Smooth Function Step Function Spectral Shift Counting Function Shift Function Enthalten in Communications in mathematical physics Springer-Verlag, 1965 208(1999), 1 vom: Dez., Seite 173-193 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:208 year:1999 number:1 month:12 pages:173-193 https://doi.org/10.1007/s002200050753 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 208 1999 1 12 173-193 |
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10.1007/s002200050753 doi (DE-627)OLC2038874832 (DE-He213)s002200050753-p DE-627 ger DE-627 rakwb eng 530 510 VZ Nakamura, Shu verfasserin aut Spectral Shift Function for Trapping Energies¶in the Semiclassical Limit 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 1999 Abstract: Semiclassical asymptotics of the spectral shift function (SSF) for Schrödinger operator is studied at trapping energies. It is shown that the SSF converges to sum of a smooth function and a step function, which is essentially the counting function of resonances. In particular, the Weyl asymptotics is proved. Smooth Function Step Function Spectral Shift Counting Function Shift Function Enthalten in Communications in mathematical physics Springer-Verlag, 1965 208(1999), 1 vom: Dez., Seite 173-193 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:208 year:1999 number:1 month:12 pages:173-193 https://doi.org/10.1007/s002200050753 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 208 1999 1 12 173-193 |
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10.1007/s002200050753 doi (DE-627)OLC2038874832 (DE-He213)s002200050753-p DE-627 ger DE-627 rakwb eng 530 510 VZ Nakamura, Shu verfasserin aut Spectral Shift Function for Trapping Energies¶in the Semiclassical Limit 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 1999 Abstract: Semiclassical asymptotics of the spectral shift function (SSF) for Schrödinger operator is studied at trapping energies. It is shown that the SSF converges to sum of a smooth function and a step function, which is essentially the counting function of resonances. In particular, the Weyl asymptotics is proved. Smooth Function Step Function Spectral Shift Counting Function Shift Function Enthalten in Communications in mathematical physics Springer-Verlag, 1965 208(1999), 1 vom: Dez., Seite 173-193 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:208 year:1999 number:1 month:12 pages:173-193 https://doi.org/10.1007/s002200050753 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 208 1999 1 12 173-193 |
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Spectral Shift Function for Trapping Energies¶in the Semiclassical Limit |
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Abstract: Semiclassical asymptotics of the spectral shift function (SSF) for Schrödinger operator is studied at trapping energies. It is shown that the SSF converges to sum of a smooth function and a step function, which is essentially the counting function of resonances. In particular, the Weyl asymptotics is proved. © Springer-Verlag Berlin Heidelberg 1999 |
| abstractGer |
Abstract: Semiclassical asymptotics of the spectral shift function (SSF) for Schrödinger operator is studied at trapping energies. It is shown that the SSF converges to sum of a smooth function and a step function, which is essentially the counting function of resonances. In particular, the Weyl asymptotics is proved. © Springer-Verlag Berlin Heidelberg 1999 |
| abstract_unstemmed |
Abstract: Semiclassical asymptotics of the spectral shift function (SSF) for Schrödinger operator is studied at trapping energies. It is shown that the SSF converges to sum of a smooth function and a step function, which is essentially the counting function of resonances. In particular, the Weyl asymptotics is proved. © Springer-Verlag Berlin Heidelberg 1999 |
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| title_short |
Spectral Shift Function for Trapping Energies¶in the Semiclassical Limit |
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https://doi.org/10.1007/s002200050753 |
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10.1007/s002200050753 |
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2024-07-03T20:40:47.478Z |
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