The spinless relativistic kink-like problem

DOI10.1142/S0217751X15500621zbMath1319.81046arXiv1412.4950MaRDI QIDQ2943451

Wolfgang Lucha, Franz F. Schöberl

Publication date: 3 September 2015

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

Full work available at URL: https://arxiv.org/abs/1412.4950

zbMATH Keywords

kink-like potentialrelativistic bound statesspinless Salpeter equationBethe-Salpeter formalism

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• Semi-relativistic stability and critical mass of a system of spinless bosons in gravitational interaction
• Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
• An uncertainty principle for fermions with generalized kinetic energy
• The one-dimensional spinless relativistic Coulomb problem
• Energy bounds for the spinless Salpeter equation
• Relativistic harmonic oscillator
• SEMIRELATIVISTIC TREATMENT OF BOUND STATES
• DISCRETE SPECTRA OF SEMIRELATIVISTIC HAMILTONIANS
• THE GEOMETRIC PHASE AND THE SCHWINGER TERM IN SOME MODELS
• DISCRETE SPECTRA OF SEMIRELATIVISTIC HAMILTONIANS FROM ENVELOPE THEORY
• The spinless relativistic Hulthén problem
• EFFECTS OF A MIXED VECTOR-SCALAR KINK-LIKE POTENTIAL FOR SPINLESS PARTICLES IN TWO-DIMENSIONAL SPACE–TIME
• A Relativistic Equation for Bound-State Problems
• On the Number of Bound States in a Central Field of Force
• Mass Corrections to the Fine Structure of Hydrogen-Like Atoms

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