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.

arXiv comment21 pp

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Cited by in corpus (11)

• Pseudo-Hermitian Quantum Mechanics with Unbounded Metric Operators
• More mathematics for pseudo-bosons
• The problem of coexistence of several non-Hermitian observables in PT-symmetric quantum mechanics
• Admissible perturbations and false instabilities in PT-symmetric quantum systems
• Some remarks on quasi-Hermitian operators
• Some results on the dynamics and transition probabilities for non self-adjoint hamiltonians
• Intertwining operators for non self-adjoint Hamiltonians and bicoherent states
• Appearances of pseudo-bosons from Black-Scholes equation
• Damping and Pseudo-fermions
• Bound states emerging from below the continuum in a solvable PT-symmetric discrete Schroedinger equation
• Quantum phase transitions mediated by clustered non-Hermitian degeneracies