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Open Quantum Systems Decoherence
On the calculation of bound-state energies supported by hyperbolic double well potentials
arXiv
Authors: Francisco M. Fernández
Year
2020
Paper ID
18643
Status
Preprint
Abstract Read
~2 min
Abstract Words
77
Citations
N/A
Abstract
We obtain eigenvalues and eigenfunctions of the Schrödinger equation with a hyperbolic double-well potential. We consider exact polynomial solutions for some particular values of the potential-strength parameter and also numerical energies for arbitrary values of this model parameter. We test the numerical method by means of a suitable exact asymptotic expression for the eigenvalues and also calculate critical values of the strength parameter that are related to the number of bound states supported by the potential.
Why This Paper Matters
- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
- It adds a 2020 reference point for readers tracking recent quantum research.
- We obtain eigenvalues and eigenfunctions of the Schrödinger equation with a hyperbolic double-well potential.
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