Scattering of Klein-Gordon particles by a Kink-like potential

DOI10.1016/j.aop.2014.01.005zbMath1342.35279OpenAlexW2013321161MaRDI QIDQ530551

Liangliang Lu, E. Maghsoodi, Hassan Hassanabadi, Saber Zarrinkamar, Guang-Hui Liu

Publication date: 1 August 2016

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

Full work available at URL: https://doi.org/10.1016/j.aop.2014.01.005

zbMATH Keywords

Klein-Gordon equationKink-like potentialtransmission and reflection coefficients

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Quantum scattering theory (81U99) Applications of hypergeometric functions (33C90)

Related Items (5)

Scattering state of Klein-Gordon particles by \(q\)-parameter hyperbolic Poschl-Teller potential ⋮ Faster-than-light solitons in \(1+1\) dimensions ⋮ Kink-antikink collisions in the periodic \(\varphi^4\) model ⋮ Stability catalyzer for a relativistic non-topological soliton solution ⋮ Introducing a relativistic nonlinear field system with a single stable non-topological soliton solution in \(1 + 1\) dimensions

Cites Work

• Arbitrary \(l\)-state solutions of the rotating Morse potential through the exact quantization rule method
• The scattering of the Manning-Rosen potential with centrifugal term
• Dirac and Klein-Gordon equations with equal scalar and vector potentials
• Bounded solutions of the Dirac equation with a PT-symmetric kink-like vector potential in two-dimensional space-time
• Scattering states of the Klein-Gordon equation with Coulomb-like scalar plus vector potentials in arbitrary dimension
• Extension of PT-symmetric quantum mechanics to the Dirac theory with position-dependent mass
• Scattering of a Klein-Gordon particle by a Woods-Saxon potential
• Effective potentials and kink spectra in non-integrable perturbed conformal field theories
• Low momentum scattering in the Dirac equation
• Exact solutions of scattering states for the s-wave Schrödinger equation with the Manning–Rosen potential
• Exact solutions of the Klein–Gordon equation with scalar and vector ring-shaped potentials

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