Relativistic harmonic oscillator

DOI10.1063/1.2054648zbMath1111.81047arXivhep-ph/0501268OpenAlexW3101954648MaRDI QIDQ3438652

Wen-Gan Ma, Jinjin Liu, Zhifeng Li, Wolfgang Lucha, Franz F. Schöberl

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/hep-ph/0501268

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)

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Cites Work

• Unnamed Item
• Unnamed Item
• Semi-relativistic stability and critical mass of a system of spinless bosons in gravitational interaction
• Methods of intermediate problems for eigenvalues. Theory and ramifications
• The energy of a system of relativistic massless bosons bound by oscillator pair potentials
• The one-dimensional spinless relativistic Coulomb problem
• Energy bounds for the spinless Salpeter equation
• Matrix methods for the numerical solution of relativistic wave equations
• SEMIRELATIVISTIC TREATMENT OF BOUND STATES
• DISCRETE SPECTRA OF SEMIRELATIVISTIC HAMILTONIANS
• SOLVING THE SCHRÖDINGER EQUATION FOR BOUND STATES WITH MATHEMATICA 3.0
• DISCRETE SPECTRA OF SEMIRELATIVISTIC HAMILTONIANS FROM ENVELOPE THEORY
• Energy bounds for the spinless Salpeter equation: harmonic oscillator
• Convexity and potential sums for Salpeter-type Hamiltonians
• Relativistic N-boson systems bound by pair potentials V(rij)=g(rij2)
• Lower Bounds for the Spinless Salpeter Equation
• A Relativistic Equation for Bound-State Problems
• Mass Corrections to the Fine Structure of Hydrogen-Like Atoms

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