The PT Symmeter » S. Triolo http://ptsymmetry.net PT Symmetry articles and information Wed, 24 Dec 2014 09:54:41 +0000 en hourly 1 http://wordpress.org/?v=3.0.4 Some invariant biorthogonal sets with an application to coherent states http://ptsymmetry.net/?p=1525&utm_source=rss&utm_medium=rss&utm_campaign=some-invariant-biorthogonal-sets-with-an-application-to-coherent-states http://ptsymmetry.net/?p=1525#comments Thu, 06 Feb 2014 08:50:26 +0000 dwh http://ptsymmetry.net/?p=1525 F. Bagarello, S. Triolo

We show how to construct, out of a certain basis invariant under the action of one or more unitary operators, a second biorthogonal set with similar properties. In particular, we discuss conditions for this new set to be also a basis of the Hilbert space, and we apply the procedure to coherent states. We conclude the paper considering a simple application of our construction to pseudo-hermitian quantum mechanics.

http://arxiv.org/abs/1402.0425
Mathematical Physics (math-ph)

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