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arXiv · 1904.11172

Information entropy as a measure of tunneling and quantum confinement in a symmetric double-well potential

Neetik Mukherjee·Arunesh Roy·Amlan K. Roy
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Abstract

Information entropic measures such as Fisher information, Shannon entropy, Onicescu energy and Onicescu Shannon entropy of a symmetric double-well potential are calculated in both position and momentum space. Eigenvalues and eigenvectors of this system are obtained through a variation-induced exact diagonalization procedure. The information entropy-based uncertainty relation is shown to be a better measure than conventional uncertainty product in interpreting purely quantum mechanical phenomena, such as, tunneling and quantum confinement in this case. Additionally, the phase-space description provides a semiclassical explanation for this feature. Total information entropy and phase-space area show similar behavior with increasing barrier height.

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Neetik Mukherjee, Arunesh Roy, Amlan K. Roy. 2019-04-25. Information entropy as a measure of tunneling and quantum confinement in a symmetric double-well potential. https://doi.org/10.1002/andp.201500196

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