DISCRETE SPECTRA OF SEMIRELATIVISTIC HAMILTONIANS FROM ENVELOPE THEORY
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Publication:4551970
DOI10.1142/S0217751X02010522zbMath1028.81014arXivhep-th/0110220MaRDI QIDQ4551970
Wolfgang Lucha, Franz F. Schöberl, Richard L. Hall
Publication date: 11 January 2004
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0110220
Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40)
Related Items (15)
SCHRÖDINGER SECANT LOWER BOUNDS TO SEMIRELATIVISTIC EIGENVALUES ⋮ 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 ⋮ The one-dimensional spinless Salpeter Coulomb problem with minimal length ⋮ The zero-mass spinless Salpeter equation with a regularized inverse square potential ⋮ The auxiliary field method in quantum mechanics ⋮ CORNELL AND KRATZER POTENTIALS WITHIN THE SEMIRELATIVISTIC TREATMENT ⋮ Upper limit on the critical strength of central potentials in relativistic quantum mechanics ⋮ DISCRETE SPECTRA OF SEMIRELATIVISTIC HAMILTONIANS ⋮ SEMIRELATIVISTIC HAMILTONIANS AND THE AUXILIARY FIELD METHOD ⋮ Some equivalences between the auxiliary field method and envelope theory ⋮ 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
- Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
- Functional inversion for potentials in quantum mechanics
- Envelope theory in spectral geometry
- SEMIRELATIVISTIC TREATMENT OF BOUND STATES
- Spectral Comparison Theorem for the Dirac Equation
- Constructive inversion of energy trajectories in quantum mechanics
- A Relativistic Equation for Bound-State Problems
- Mass Corrections to the Fine Structure of Hydrogen-Like Atoms
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