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Open Quantum Systems Decoherence
Coherent states of the two-dimensional non-separable supersymmetric Morse potential
arXiv
Authors: James Moran, Véronique Hussin
Year
2021
Paper ID
61943
Status
Preprint
Abstract Read
~2 min
Abstract Words
83
Citations
N/A
Abstract
Supersymmetry is a technique that allows us to extract information about the states and spectra of quantum mechanical systems which may otherwise be unsolvable. In this paper we reconstruct Ioffe's set of states for the singular non-separable two-dimensional Morse potential using supersymmetry from a non-degenerate set of states constructed for the initial separable Morse Hamiltonian. We define generalised coherent states, compute their uncertainty relations, and we find that the singularity in the partner Hamiltonian significantly affects the localisation of the coherent state wavefunction.
Why This Paper Matters
- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
- It adds a 2021 reference point for readers tracking recent quantum research.
- Supersymmetry is a technique that allows us to extract information about the states and spectra of quantum mechanical systems which may otherwise be unsolvable.
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