Extension of Bertrand’s theorem and factorization of the radial Schrödinger equation

DOI10.1063/1.532568zbMath0935.81017arXivquant-ph/9812077OpenAlexW3104906072MaRDI QIDQ4701481

Zuobing Wu, Jinyan Zeng

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/9812077

zbMATH Keywords

closed orbitsradial Schrödinger equationBertrand theorem

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Two-body problems (70F05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (2)

Closure of orbits and dynamical symmetry of screened Coulomb potential and isotropic harmonic oscillator ⋮ QUANTUM EQUIVALENT OF THE BERTRAND'S THEOREM

Cites Work

• Factorization of the radial Schrödinger equation and four kinds of raising and lowering operators of hydrogen atoms and isotropic harmonic oscillators.

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