An ubiquitous three-term recurrence relation

DOI10.1063/5.0018221zbMath1461.81024arXiv2110.14526OpenAlexW3209801584MaRDI QIDQ5859113

Paolo Amore, Francisco M. Fernández

Publication date: 15 April 2021

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

Full work available at URL: https://arxiv.org/abs/2110.14526

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Numerical aspects of recurrence relations (65Q30)

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Cites Work

• On the Klein-Gordon oscillator subject to a Coulomb-type potential
• Bound states for a Coulomb-type potential induced by the interaction between a moving electric quadrupole moment and a magnetic field
• Theory of defects in solids and three-dimensional gravity
• Some quantum aspects of a particle with electric quadrupole moment interacting with an electric field subject to confining potentials
• Quantum aspects of a moving magnetic quadrupole moment interacting with an electric field

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