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

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	58-75
Number of pages	18
Journal	Mathematical Notes
Volume	61
Issue number	1
DOIs	https://doi.org/10.1007/BF02355008
State	Published - 1997
Externally published	Yes

Keywords

(u-v) transformations
Fock space
Normal forms of Hamiltonians
Quadratic Bose operators

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10.1007/BF02355008

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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",

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AU - Maslov, V. P.

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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

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SN - 0001-4346

VL - 61

SP - 58

EP - 75

JO - Mathematical Notes

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ER -

Normal forms of quadratic Bose operators

Abstract

Keywords

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