Matrix elements for a generalized spiked harmonic oscillator

DOI10.1063/1.532641zbMath0935.81015arXivquant-ph/9812048OpenAlexW2106962637MaRDI QIDQ4701562

Attila B. von Keviczky, Nasser Saad, Richard L. Hall

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9812048

zbMATH Keywords

Schrödinger operatorlowest eigenvaluesingular potentialexact eigenfunctionsspiked harmonic oscillator Hamiltonian

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50)

Related Items (11)

Spiked oscillators: exact solution ⋮ Calculation of the spiked harmonic oscillators through a generalized pseudospectral method ⋮ Spiked harmonic oscillators ⋮ Perturbation expansions for a class of singular potentials ⋮ Temporally stable coherent states for a free magnetic Schrödinger operator ⋮ Study of anharmonic singular potentials ⋮ Quasilinearization approach to computations with singular potentials ⋮ Accurate analytic presentation of solution for the spiked harmonic oscillator problem ⋮ Bound states of the Dirac equation for a class of effective quadratic plus inversely quadratic potentials ⋮ Friedrichs extensions of Schrödinger operators with singular potentials ⋮ Green’s function for a Schrödinger operator and some related summation formulas

Cites Work

• Variational and perturbative schemes for a spiked harmonic oscillator

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