Radial Coulomb and oscillator systems in arbitrary dimensions

DOI10.1063/1.531504zbMath0864.34074arXivquant-ph/9602007OpenAlexW3106126578MaRDI QIDQ5284269

V. Alan Kostelecký, Neil Russell

Publication date: 22 January 1997

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9602007

zbMATH Keywords

analytical quantum defectanalytical radial Coulomb systems in any dimensionsupersymmetry-based quantum-defect theory

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Supersymmetry and quantum mechanics (81Q60)

Related Items (6)

Duality between hydrogen atom and oscillator systems via hidden SO(d,2) symmetry and 2T-physics ⋮ Theta and Riemann xi function representations from harmonic oscillator eigensolutions ⋮ Dynamical behavior of supersymmetric Paul trap in semiunitary formulation of supersymmetric quantum mechanics ⋮ Rényi entropies for multidimensional hydrogenic systems in position and momentum spaces ⋮ Special functions and the Mellin transforms of Laguerre and Hermite functions ⋮ Rydberg multidimensional states: Rényi and Shannon entropies in momentum space

Cites Work

• Dynamical breaking of supersymmetry
• On the degeneracy of the Kepler problem
• An algebraic and geometric approach to non-bijective quadratic transformations
• Equivalent potentials in classical mechanics

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