A position dependent mass Hamiltonian and abstract ladder operators

• URL: http://arxiv.org/abs/2605.01443v1
• Date: Sat, 02 May 2026 13:43:26 GMT
• Title: A position dependent mass Hamiltonian and abstract ladder operators
• Abstract summary: We consider the Hamiltonian $H$ of a particle in one dimension with a position dependent mass.<n>We show that pseudo-bosonic operators play a relevant role in this analysis.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 {\em abstract ladder operators}, in the attempt to find its eigenvalues and eigenvectors. We don't 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.

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