Non linear pseudo-bosons versus hidden Hermiticity. II: The case of unbounded operators

Abstract

Parallels between the notions of nonlinear pseudobosons and of an apparent non-Hermiticity of observables as shown in paper I (arXiv: 1109.0605) are demonstrated to survive the transition to the quantum models based on the use of unbounded metric in the Hilbert space of states.

21 pp

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Cited by in corpus (4)

• Some results on the dynamics and transition probabilities for non self-adjoint hamiltonians
• Intertwining operators for non self-adjoint Hamiltonians and bicoherent states
• Bound states emerging from below the continuum in a solvable PT-symmetric discrete Schroedinger equation
• Quantum phase transitions mediated by clustered non-Hermitian degeneracies