Solvable models of an open well and a bottomless barrier: one-dimensional exponential potentials

DOI10.1088/1361-6404/aa8c0czbMath1390.81136arXiv1706.05275OpenAlexW2626188310WikidataQ115548133 ScholiaQ115548133MaRDI QIDQ4634778

Sachin Kumar, Nihar Turumella, Zafar Ahmed, Dona Ghosh

Publication date: 11 April 2018

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.05275

zbMATH Keywords

transmission coefficientbound statesexactly solvable modelsscattering statesWKB approximationsSchödinger equation in 1-D

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (4)

Addendum to ‘Divergence of $\langle {p}^{6}\rangle $ in discontinuous potential wells’ (2018 Eur. J. Phys. 39 055402) ⋮ Bound state eigenvalues from transmission coefficients ⋮ Asymptotic estimation for eigenvalues in the exponential potential and for zeros of \(K_{\mathrm{i}\nu} (z)\) with respect to order ⋮ Divergence of $\langle {p}^{6}\rangle $ in discontinuous potential wells

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• A class of exactly solvable potentials related to the Jacobi polynomials
• Tunnelling through asymmetric parabolic potential barriers
• AN INTERESTING MODEL OF QUANTAL TRANSMISSION

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