QUANTUM EQUIVALENT OF THE BERTRAND'S THEOREM

DOI10.1142/S0217732300002255zbMath0973.81025arXivquant-ph/9905011MaRDI QIDQ2710922

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Publication date: 2 May 2001

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9905011

zbMATH Keywords

bound state potentialsradial eigenvalue problems

Mathematics Subject Classification ID

General mathematical topics and methods in quantum theory (81Q99) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Cites Work

• General properties of potentials for which the Schrödinger equation can be solved by means of hypergeometric functions
• NEW EXACTLY AND CONDITIONALLY EXACTLY SOLVABLE N-BODY PROBLEMS IN ONE DIMENSION
• Dynamical symmetries in a spherical geometry. I
• Exact solution of anN-body problem in one dimension
• Extension of Bertrand’s theorem and factorization of the radial Schrödinger equation
• A class of solvable potentials

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