Coherent states of the two-dimensional non-separable supersymmetric Morse potential

• URL: http://arxiv.org/abs/2108.13543v1
• Date: Mon, 30 Aug 2021 23:01:11 GMT
• Title: Coherent states of the two-dimensional non-separable supersymmetric Morse potential
• Authors: James Moran, V\'eronique Hussin
• Abstract summary: We reconstruct Ioffe's set of states for the singular non-separable two-dimensional Morse potential using supersymmetry. We define generalised coherent states, compute their uncertainty relations, and find that the singularity in the partner Hamiltonian significantly affects the localisation of the coherent state wavefunction.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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