A position dependent mass Hamiltonian and abstract ladder operators

Journal of Physics A Mathematical and Theoretical 2026 Open access

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Authors: Fabio Bagarello, Emanuele Balistreri, Antonino Faddetta
DOI: 10.1088/1751-8121/ae65e6
Cited by: 3
References: 26

Abstract

Abstract We consider the Hamiltonian H of a particle in one dimension with a position dependent mass for which we apply the recent strategy of the so-called abstract ladder operators , in the attempt to find its eigenvalues and eigenvectors. We do not assume that H is self-adjoint, while we focus on the case of a factorizable operator. We show then that pseudo-bosonic operators play a relevant role in this analysis, and we construct bi-coherent states attached to these operators. Explicit examples are discussed.

Fields of Study & Subjects

Spectral Theory in Mathematical Physics Quantum Mechanics and Non-Hermitian Physics Quantum Information and Cryptography

Publication details

Journal / source
Journal of Physics A Mathematical and Theoretical
Publisher
IOP Publishing
Volume
59
Issue
18
Pages
185201–185201
Publication date
28 April 2026