Refining the comparison theorem of quantum mechanics

DOI10.1088/0305-4470/25/16/021zbMath0764.34059OpenAlexW2035302602MaRDI QIDQ4033578

Richard L. Hall

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1088/0305-4470/25/16/021

zbMATH Keywords

comparison theoremYukawa potentialpotentialsspectral orderingSchrödinger eigenvaluestruncated quartic oscillator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (9)

SCHRÖDINGER SECANT LOWER BOUNDS TO SEMIRELATIVISTIC EIGENVALUES ⋮ Eigenvalue comparisons for quantum systems in a box ⋮ The auxiliary field method in quantum mechanics ⋮ Refined comparison theorems for the Dirac equation inddimensions ⋮ A comparative study of two-electron systems with screened Coulomb potentials ⋮ Constructive inversion of energy trajectories in quantum mechanics ⋮ An inversion inequality for potentials in quantum mechanics ⋮ Self-similar perturbation theory ⋮ Comparison theorems for the position-dependent mass Schrödinger equation

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