Algebraic derivation of Kramers–Pasternack relations based on the Schrödinger factorization method

DOI10.1088/1361-6404/ABD228zbMath1523.81068arXiv2007.11158OpenAlexW3110937458MaRDI QIDQ6163473

Tomasz Szymanski, James K. Freericks

Publication date: 9 June 2023

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

Full work available at URL: https://arxiv.org/abs/2007.11158

zbMATH Keywords

hydrogenFeynman-Hellmann theoremradial momentsKramers-Pasternack relationSchrödinger factorization method

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Hamilton's equations (70H05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45) Factorization (11Y05) Numerical aspects of recurrence relations (65Q30) Numerical radial basis function approximation (65D12)

Cites Work

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• Hypervirial theorems
• Some Applications of Hypervirial Theorems to the Calculation of Average Values
• From Classical to Quantum Mechanics
• Theoretical Physics 7
• Modern Quantum Mechanics
• On the Mean Value of r ^s for Keplerian Systems

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