Solution of the Dirac equation with position-dependent mass in the Coulomb field
TLDR
In this article, the exact solution of the Dirac equation for a charged particle with position-dependent mass in the Coulomb field was obtained, and the discrete energy spectrum and spinor wave function were obtained explicitly.About:
This article is published in Physics Letters A.The article was published on 2004-02-23 and is currently open access. It has received 176 citations till now. The article focuses on the topics: Dirac equation & Two-body Dirac equations.read more
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Solution of the Dirac equation for the Woods¿Saxon potential with spin and pseudospin symmetry
Jian-You Guo,Zong-Qiang Sheng +1 more
TL;DR: In this article, the s(s˜)-wave Dirac equation is solved exactly for a single particle with spin and pseudospin symmetry moving in a central Woods-Saxon potential, and the corresponding radial wavefunctions for the two-component spinor are obtained in terms of the hypergeometric function.
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Bound states of the Klein–Gordon equation with vector and scalar Rosen–Morse-type potentials☆
TL;DR: In this paper, the exact energy equation for s-wave bound states was obtained by solving the Klein-Gordon equation with equal scalar and vector Rosen-Morse-type potentials.
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First-order intertwining operators and position-dependent mass Schrödinger equations in d dimensions
TL;DR: In this paper, the problem of d-dimensional Schrodinger equations with a position-dependent mass is analyzed in the framework of first-order intertwining operators, and a solution to the resulting system of partial differential equations is obtained and used to build a physically relevant model depicting a particle moving in a semi-infinite layer.
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On the Klein–Gordon oscillator subject to a Coulomb-type potential
Knut Bakke,Claudio Furtado +1 more
TL;DR: By introducing the scalar potential as modification in the mass term of the Klein-Gordon equation, the influence of a Coulomb-type potential on the Klein -Gordon oscillator was investigated in this article.
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Klein–Gordon oscillator in Kaluza–Klein theory
Josevi Carvalho,Alexandre M. de M. Carvalho,Everton Cavalcante,Everton Cavalcante,Claudio Furtado +4 more
TL;DR: In this paper, the Klein-Gordon oscillator on the curved background within the Kaluza-Klein theory is studied and the energy levels depend on the global parameters characterizing these spacetimes, and it is shown that these energy levels represent themselves as the sum of terms related with Aharonov-Bohm flux and of the parameter associated to the rotation of the spacetime.
References
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Relativistic Quantum Mechanics
James D. Bjorken,Sidney D. Drell +1 more
TL;DR: In this paper, the authors developed a propagator theory of Dirac particles, photons, and Klein-Gordon mesons and per-formed a series of calculations designed to illustrate various useful techniques and concepts in electromagnetic, weak, and strong interactions.
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Spin response of unpolarized quantum dots
Llorenç Serra,Enrico Lipparini +1 more
TL;DR: In this paper, the spin response function for electrons confined in a quantum dot is studied within the time-dependent local spin density approximation (TDLSDA) of density functional theory.