Extended SUSY quantum mechanics, intertwining operators and coherent states
F. Bagarello
TL;DR
This paper extends supersymmetric quantum mechanics to generate isospectral Hamiltonians, introduces a method based on intertwining operators, and constructs vector coherent states of the Gazeau-Klauder type for these Hamiltonians.
Contribution
It presents a novel extension of supersymmetric quantum mechanics and a new approach to constructing vector coherent states linked to these Hamiltonians.
Findings
Generated families of isospectral Hamiltonians
Provided explicit examples of the construction
Built vector coherent states of Gazeau-Klauder type
Abstract
We propose an extension of {\em supersymmetric quantum mechanics} which produces a family of isospectral hamiltonians. Our procedure slightly extends the idea of intertwining operators. Several examples of the construction are given. Further, we show how to build up vector coherent states of the Gazeau-Klauder type associated to our hamiltonians.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Cold Atom Physics and Bose-Einstein Condensates · Quantum Mechanics and Applications