Normal Forms, Inner Products, and Maslov Indices of General Multimode Squeezingsстатья
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Дата последнего поиска статьи во внешних источниках: 28 января 2015 г.
Аннотация:Abstract—In this paper, we present a purely algebraic construction of the normal factorization
of multimode squeezed states and calculate their inner products. This procedure allows one to
orthonormalize bases generated by squeezed states. We calculate several correct representations
of the normalizing constant for the normal factorization, discuss an analog of the Maslov index for
squeezed states, and show that the Jordan decomposition is a useful mathematical tool for problems
with degenerate Hamiltonians. As an application of this theory, we consider a nontrivial class of
squeezing problems which are solvable in any dimension.