Normal forms of quadratic Bose operators

V. V. Kucherenko; V. P. Maslov

doi:10.1007/BF02355008

Normal forms of quadratic Bose operators

V. V. Kucherenko, V. P. Maslov

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

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Resumen

We construct a proper canonical transformation that reduces the quadratic Bose operator to a direct sum of finite-dimensional quadratic operators each of which can be reduced by a finite-dimensional canonical transformation to one of the standard forms corresponding to the standard forms of real quadratic Hamiltonians.

Idioma original	Inglés
Páginas (desde-hasta)	58-75
Número de páginas	18
Publicación	Mathematical Notes
Volumen	61
N.º	1
DOI	https://doi.org/10.1007/BF02355008
Estado	Publicada - 1997
Publicado de forma externa	Sí

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title = "Normal forms of quadratic Bose operators",

abstract = "We construct a proper canonical transformation that reduces the quadratic Bose operator to a direct sum of finite-dimensional quadratic operators each of which can be reduced by a finite-dimensional canonical transformation to one of the standard forms corresponding to the standard forms of real quadratic Hamiltonians.",

keywords = "(u-v) transformations, Fock space, Normal forms of Hamiltonians, Quadratic Bose operators",

author = "Kucherenko, {V. V.} and Maslov, {V. P.}",

year = "1997",

doi = "10.1007/BF02355008",

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T1 - Normal forms of quadratic Bose operators

AU - Kucherenko, V. V.

AU - Maslov, V. P.

PY - 1997

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N2 - We construct a proper canonical transformation that reduces the quadratic Bose operator to a direct sum of finite-dimensional quadratic operators each of which can be reduced by a finite-dimensional canonical transformation to one of the standard forms corresponding to the standard forms of real quadratic Hamiltonians.

AB - We construct a proper canonical transformation that reduces the quadratic Bose operator to a direct sum of finite-dimensional quadratic operators each of which can be reduced by a finite-dimensional canonical transformation to one of the standard forms corresponding to the standard forms of real quadratic Hamiltonians.

KW - (u-v) transformations

KW - Fock space

KW - Normal forms of Hamiltonians

KW - Quadratic Bose operators

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U2 - 10.1007/BF02355008

DO - 10.1007/BF02355008

M3 - Artículo

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VL - 61

SP - 58

EP - 75

JO - Mathematical Notes

JF - Mathematical Notes

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ER -

Normal forms of quadratic Bose operators

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