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Open Quantum Systems Decoherence Quantum Simulation

Exact Solvability of Two-Dimensional Real Singular Morse Potential

arXiv

Authors: M. V. Ioffe, D. N. Nishnianidze

Year

2007

Paper ID

49037

Status

Preprint

Abstract Read

~2 min

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Abstract

The supersymmetric approach in the form of second order intertwining relations is used to prove the exact solvability of two-dimensional Schrodinger equation with generalized two-dimensional Morse potential for a₀=-1/2. This two-parametric model is not amenable to conventional separation of variables, but it is completely integrable: the symmetry operator of fourth order in momenta exists. All bound state energies are found explicitly, and all corresponding wave functions are built analytically. By means of shape invariance property, the result is extended to the hierarchy of Morse models with arbitrary integer and half-integer values a_k=-(k+1)/2.

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The supersymmetric approach in the form of second order intertwining relations is used to prove the exact solvability of two-dimensional Schrodinger equation with generalized...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0709.2960 [2] arXiv https://arxiv.org/abs/0709.2960 [3] Publisher https://arxiv.org/abs/0709.2960

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