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.
Citation:
V. V. Kucherenko, V. P. Maslov, “Normal forms of quadratic Bose operators”, Mat. Zametki, 61:1 (1997), 69–90; Math. Notes, 61:1 (1997), 58–75