On the elementary Schrödinger bound states and their multiplets

DOI10.1063/1.529548zbMath0825.35100OpenAlexW2025382743MaRDI QIDQ4032271

Miloslav Znojil, Peter G. L. Leach

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1063/1.529548

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)

Related Items (10)

Spiked harmonic oscillators ⋮ A Lie algebraic study of some Schrödinger equations ⋮ Algebraic and spectral properties of some quasiorthogonal polynomials encountered in quantum radiation ⋮ Approximate reconstruction of single particle bound states and potentials from incomplete information ⋮ Bound state solutions of the Schrödinger equation for reducible potentials: general Laurent series and four-parameter exponential-type potentials ⋮ Study of anharmonic singular potentials ⋮ Quasilinearization approach to computations with singular potentials ⋮ Accurate analytic presentation of solution for the spiked harmonic oscillator problem ⋮ Lie algebraic treatment of the quadratic invariants for a quantum system ⋮ Schrödinger equations with logarithmic self-interactions: from antilinear \(\mathcal{PT}\)-symmetry to the nonlinear coupling of channels

Cites Work

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