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