Non-self-adjoint Hamiltonians with complex eigenvalues

Fabio Bagarello, Bagarello

Risultato della ricerca: Article

8 Citazioni (Scopus)

Abstract

Motivated by what one observes dealing with PT-symmetric quantum mechanics, we discuss what happens if a physical system is driven by a diagonalizable Hamiltonian with not all real eigenvalues. In particular, we consider the functional structure related to systems living in finite-dimensional Hilbert spaces, and we show that certain intertwining relations can be deduced also in this case if we introduce suitable antilinear operators. We also analyze a simple model, computing the transition probabilities in the broken and in the unbroken regime.
Lingua originaleEnglish
Numero di pagine17
RivistaJOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL
Volume49
Stato di pubblicazionePublished - 2016

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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