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We present a new potential barrier that presents the phenomenon of superradiance when the reflection coefficient $R$ is greater than one.
Zum ”Kleinschen paradoxon“
F. Sauter · 1931
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On the existence of stationary states of the mesotron field
Schiff, L. I., Snyder, H. and Weinberg, J · 1940
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Handbook of Mathematical Functions
M. Abramowitz and I. A. Stegun · 1965
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Relativistic Quantum Mechanics. Wave equations
W. Greiner · 1987
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The Klein paradox and superradiance
C. A. Manogue · 1988
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Heun’s Differential Equations
A. Ronveaux · 1995
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History and physics of the Klein paradox
A. Calogeracos and N. Dombey · 1999
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Klein tunneling and the klein paradox
A. Calogeracos and N. Dombey · 1999
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Scattering of a Klein-Gordon particle by a Woods-Saxon potential
C. Rojas and V. M. Villalba · 2005
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The Klein-Gordon equation with the Woods-Saxon potential well
C. Rojas and V. M. Villalba · 2006
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Bound states of the Klein-Gordon equation in the presence of short range potentials
V. M. Villalba and C. Rojas · 2006
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Scattering of a relativistic scalar particle by a cusp potential
V. M. Villalba and C. Rojas · 2007
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Exact bound state solutions of the s-wave Klein-Gordon equation with the generalized Hulthén potential
Z.-D. Chena G. Chen and Z.-M. Loua · 2007
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M. Richartz, S. Weinfurtner, A. J. Penner, and W. G. Unruh · 2009
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A. Wachter · 2011
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Scattering of a relativistic particle by a hyperbolic tangent potential
C. Rojas · 2014
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Scattering solutions of the klein − - gordon equation for a step potential with hyperbolic tangent potential
C. Rojas · 2014
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Superradiance. Energy Extraction, Black-Hole Bombs and Implications for Astrophysics and Particle Physics
R. Brito, V. Cardoso, and P. Pani · 2015
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A singular Lambert-W Schödinger potential exactly solvable in terms of the confluent hypergeometric functions
A. M. Ishkahnyan · 2016
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The Lambert-W step-potential - an exactly solvable confluent hypergeometric potential
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Bosonic analog of the Klein paradox
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Exact solution of inverse − - square − - root potential v ( r ) = − α / r v(r)=-\nicefrac{{\alpha}}{{\sqrt{r}}}
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