$\mathcal{D}$ pseudo-bosons in quantum models

Abstract

We show how some recent models of PT-quantum mechanics perfectly fit into the settings of $\mathcal{D}$ pseudo-bosons, as introduced by one of us. Among the others, we also consider a model of non-commutative quantum mechanics, and we show that this model too can be described in terms of $\mathcal{D}$ pseudo-bosons.

In press in Physics Letters A

References in corpus (2)

• Interactions of Hermitian and non-Hermitian Hamiltonians
• More mathematics for pseudo-bosons

Cited by in corpus (5)

• Non-Hermitian Hamiltonian for a Modulated Jaynes-Cummings Model with PT Symmetry
• A description of pseudo-bosons in terms of nilpotent Lie algebras
• Intertwining operators for non self-adjoint Hamiltonians and bicoherent states
• A concise review on pseudo-bosons, pseudo-fermions and their relatives
• Abstract ladder operators and their applications