Upper limit on the critical strength of central potentials in relativistic quantum mechanics

DOI10.1063/1.1850997zbMath1076.81041arXivmath-ph/0412042OpenAlexW2018724839MaRDI QIDQ3024243

Fabian Brau

Publication date: 30 June 2005

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

Full work available at URL: https://arxiv.org/abs/math-ph/0412042

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (2)-body potential quantum scattering theory (81U05)

Related Items (3)

The auxiliary field method in quantum mechanics ⋮ Deformed Morse-like potential ⋮ SEMIRELATIVISTIC HAMILTONIANS AND THE AUXILIARY FIELD METHOD

Cites Work

• Semi-relativistic stability and critical mass of a system of spinless bosons in gravitational interaction
• Upper limit on the number of bound states of the spinless Salpeter equation
• An uncertainty principle for fermions with generalized kinetic energy
• Lower limit in semiclassical form for the number of bound states in a central potential
• Upper and lower limits for the number of bound states in a given central potential
• Energy bounds for the spinless Salpeter equation
• Integral equation formulation of the spinless Salpeter equation
• SEMIRELATIVISTIC TREATMENT OF BOUND STATES
• DISCRETE SPECTRA OF SEMIRELATIVISTIC HAMILTONIANS
• DISCRETE SPECTRA OF SEMIRELATIVISTIC HAMILTONIANS FROM ENVELOPE THEORY
• Energy bounds for the spinless Salpeter equation: harmonic oscillator
• Upper and lower limits for the number of S-wave bound states in an attractive potential
• 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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