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Open Quantum Systems Decoherence

Symmetrized exponential oscillator

arXiv

Authors: Miloslav Znojil

Year

2016

Paper ID

43858

Status

Preprint

Abstract Read

~2 min

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Abstract

Several properties of bound states in potential V(x)= g^2exp (|x|) are studied. Firstly, with the emphasis on the reliability of our arbitrary-precision construction, wave functions are considered in the two alternative (viz., asymptotically decreasing or regular) exact Bessel-function forms which obey the asymptotic or matching conditions, respectively. The merits of the resulting complementary transcendental secular equation approaches are compared and their applicability is discussed.

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This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
It adds a 2016 reference point for readers tracking recent quantum research.
Several properties of bound states in potential V(x)= g^2exp (|x|) are studied.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1609.00166 [2] arXiv https://arxiv.org/abs/1609.00166 [3] Publisher https://arxiv.org/abs/1609.00166

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