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Normal forms of quadratic bose operators
Authors:V. V. Kucherenko  V. P. Maslov
Affiliation:(1) Moscow State Civil Engineering University, Moscow, USSR;(2) M. V. Lomonosov Moscow State University, Moscow, USSR
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. Translated fromMatematicheskie Zametki, Vol. 61, No. 1, pp. 69–90, January, 1997.
Keywords:quadratic Bose operators  Fock space, (u-v)  transformations  normal forms of Hamiltonians
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