Some invariant biorthogonal sets with an application to coherent states

Risultato della ricerca: Article

Abstract

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.
Lingua originaleEnglish
pagine (da-a)462-476
Numero di pagine15
RivistaJournal of Mathematical Analysis and Applications
Volume415
Stato di pubblicazionePublished - 2014

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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