Study of superradiance in the Lambert-W potential barrier

DOI10.1142/S0217751X19500878zbMath1415.81021arXiv1907.09971WikidataQ127704070 ScholiaQ127704070MaRDI QIDQ5384516

Luis Nava Puente, Clara Rojas, Carlos Cocha

Publication date: 24 June 2019

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.09971

zbMATH Keywords

scattering solutionsHeun confluent functionLambert-\(W\) potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Other special functions (33E99)

Cites Work

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• The Lambert-\(W\) step-potential -- an exactly solvable confluent hypergeometric potential
• Scattering of a relativistic scalar particle by a cusp potential
• Exact solution of inverse-square-root potential \(V(r)=-\frac{\alpha}{\sqrt r}\)
• Scattering solutions of the Klein–Gordon equation for a step potential with hyperbolic tangent potential
• Scattering of a Klein-Gordon particle by a Woods-Saxon potential
• KLEIN TUNNELLING AND THE KLEIN PARADOX
• Relativistic quantum mechanics.

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