Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592716 | Journal of Functional Analysis | 2008 | 20 Pages |
Abstract
A generalized version of the Glauber–Klauder basic formula of quantum optics is shown to be valid for any cyclic subnormal operator S whose adjoint has a rich point spectrum σp(S∗) (in the sense that a semispectral measure of S vanishes on C∖σp∗(S∗)). It is exhibited that such operators always have analytic models. The point spectrum of the adjoint of a subnormal operator which satisfies a generalized version of the Glauber–Klauder formula is proved to be rich (in the above sense).
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