A brief description of operators associated to the quantum harmonic oscillator on Schatten-von Neumann classes
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| Format: | Artículo científico |
| Sprache: | en |
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Universidad Industrial de Santander
2018
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| _version_ | 1876481605870026752 |
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| author | Duván Cardona |
| author_facet | Duván Cardona |
| contents | A brief description of operators associated to the quantum harmonic oscillator on Schatten-von Neumann classes Duván Cardona Física, Astronomía y Matemáticas traces nuclear operator Fourier multiplier Hermite multiplier Harmonic oscillator In this note we study pseudo-multipliers associated to the harmonic oscillator (also called Hermite multipliers) belonging to Schatten classes on L 2(R n ). We also investigate the spectral trace of these operators. MSC2010: 81Q10, 47B10, 81Q05. 2018 artículo científico 0120-419X https://www.redalyc.org/articulo.oa?id=327059470004 https://www.redalyc.org/journal/3270/327059470004/ https://www.redalyc.org/journal/3270/327059470004/html/ https://www.redalyc.org/journal/3270/327059470004/327059470004.epub https://www.redalyc.org/journal/3270/327059470004/movil 10.18273/revint.v36n1-2018004 en http://www.redalyc.org/revista.oa?id=3270 Revista Integración application/pdf Universidad Industrial de Santander Revista Integración (Colombia) Num.1 Vol.36 |
| format | Artículo científico |
| id | redalyc_327059470004 |
| institution | Redalyc |
| language | en |
| publishDate | 2018 |
| publisher | Universidad Industrial de Santander |
| spellingShingle | A brief description of operators associated to the quantum harmonic oscillator on Schatten-von Neumann classes Duván Cardona Física, Astronomía y Matemáticas traces nuclear operator Fourier multiplier Hermite multiplier Harmonic oscillator A brief description of operators associated to the quantum harmonic oscillator on Schatten-von Neumann classes Duván Cardona Física, Astronomía y Matemáticas traces nuclear operator Fourier multiplier Hermite multiplier Harmonic oscillator In this note we study pseudo-multipliers associated to the harmonic oscillator (also called Hermite multipliers) belonging to Schatten classes on L 2(R n ). We also investigate the spectral trace of these operators. MSC2010: 81Q10, 47B10, 81Q05. 2018 artículo científico 0120-419X https://www.redalyc.org/articulo.oa?id=327059470004 https://www.redalyc.org/journal/3270/327059470004/ https://www.redalyc.org/journal/3270/327059470004/html/ https://www.redalyc.org/journal/3270/327059470004/327059470004.epub https://www.redalyc.org/journal/3270/327059470004/movil 10.18273/revint.v36n1-2018004 en http://www.redalyc.org/revista.oa?id=3270 Revista Integración application/pdf Universidad Industrial de Santander Revista Integración (Colombia) Num.1 Vol.36 |
| title | A brief description of operators associated to the quantum harmonic oscillator on Schatten-von Neumann classes |
| topic | Física, Astronomía y Matemáticas traces nuclear operator Fourier multiplier Hermite multiplier Harmonic oscillator |
| url | https://www.redalyc.org/articulo.oa?id=327059470004 https://www.redalyc.org/journal/3270/327059470004/ https://www.redalyc.org/journal/3270/327059470004/html/ https://www.redalyc.org/journal/3270/327059470004/327059470004.epub https://www.redalyc.org/journal/3270/327059470004/movil |