Scattering and Bound State Solutions of Asymmetric Hulthén Potential

Abstract

One-dimensional time-independent Schrödinger equation is solved for the asymmetric Hulthén potential. Reflection and transmission coefficients and bound state solutions are obtained in terms of the hypergeometric functions. It is observed that the unitary condition is satisfied in non-relativistic region.

14 pages, 7 figures

References in corpus (5)

• Scattering of a Klein-Gordon particle by a Woods-Saxon potential
• The Klein-Gordon equation with a generalized Hulthen potential in D-dimensions
• Bound states of the Klein-Gordon equation in the presence of short-range potentials
• Transmission resonances and supercritical states in a one dimensional cusp potential
• Low Momentum Scattering in the Dirac Equation

Cited by in corpus (8)

• Quasi-exact solution to the Dirac equation for the hyperbolic secant potential
• Two-dimensional Dirac particles in a Pöschl-Teller waveguide
• Scattering of a spinless particle by an asymmetric Hulth{é}n potential within the effective mass formalism
• Relativistic Energies and Scattering Phase Shifts for the Fermionic Particles Scattered by Hyperbolical potential with the Pseudo (Spin) Symmetry
• Scattering solutions of the Klein Gordon equation for a step potential with hyperbolic tangent potential
• Reflection and Transmission Coefficients of the symmetric barrier-type shifted Deng-Fan potential
• Scattering of a scalar relativistic particle by the hyperbolic tangent potential
• The scattering phase shifts of the Hulthén-type potential plus Yukawa potential