Energy bounds for the spinless Salpeter equation

DOI10.1063/1.1405848zbMath1018.81013arXivhep-th/0101223OpenAlexW3105727349MaRDI QIDQ2774723

Wolfgang Lucha, Franz F. Schöberl, Richard L. Hall

Publication date: 26 February 2002

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

Full work available at URL: https://arxiv.org/abs/hep-th/0101223

zbMATH Keywords

Coulomb potentialattractive central potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items

On the coherent states for a relativistic scalar particle, Relativistic N-boson systems bound by oscillator pair potentials, Convexity and potential sums for Salpeter-type Hamiltonians, Relativistic N-boson systems bound by pair potentials V(rij)=g(rij2), The spinless relativistic kink-like problem, Lower Bounds for the Spinless Salpeter Equation, Upper limit on the number of bound states of the spinless Salpeter equation, The one-dimensional spinless Salpeter Coulomb problem with minimal length, The zero-mass spinless Salpeter equation with a regularized inverse square potential, Upper limit on the critical strength of central potentials in relativistic quantum mechanics, SEMIRELATIVISTIC HAMILTONIANS AND THE AUXILIARY FIELD METHOD, Geometric spectral inversion for singular potentials, Relativistic harmonic oscillator

Cites Work

• Semi-relativistic stability and critical mass of a system of spinless bosons in gravitational interaction
• Envelope theory in spectral geometry
• SEMIRELATIVISTIC TREATMENT OF BOUND STATES
• A Relativistic Equation for Bound-State Problems
• Mass Corrections to the Fine Structure of Hydrogen-Like Atoms