Geodesic
Normal forms of quadratic Bose operators
Matematičeskie zametki, Tome 61 (1997) no. 1, pp. 69-90

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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. 
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     author = {V. V. Kucherenko and V. P. Maslov},
     title = {Normal forms of quadratic {Bose} operators},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
     volume = {61},
     number = {1},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1997_61_1_a7/}
}
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V. V. Kucherenko; V. P. Maslov. Normal forms of quadratic Bose operators. Matematičeskie zametki, Tome 61 (1997) no. 1, pp. 69-90. http://geodesic.mathdoc.fr/item/MZM_1997_61_1_a7/