Sum rules for zeros and intersections of Bessel functions from quantum mechanical perturbation theory

DOI10.1016/j.physleta.2018.04.049zbMath1396.33011OpenAlexW2801032904MaRDI QIDQ1786671

Thomas Garm Pedersen

Publication date: 24 September 2018

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2018.04.049

zbMATH Keywords

perturbation theoryquantum mechanicsBessel functions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

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• On an identity for zeros of Bessel functions
• Closed expressions for some useful integrals involving Legendre functions and sum rules for zeroes of Bessel functions
• Zeros of combinations of Bessel functions and the mean charge of graphene nanodots
• Casimir energy for a massive fermionic quantum field with a spherical boundary
• The zeta function constructed from the zeros of the Bessel function
• Sum rules for zeros of Bessel functions and an application to spherical Aharonov-Bohm quantum bags
• Symbolic methods for the evaluation of sum rules of Bessel functions
• Stark effect in finite-barrier quantum wells, wires, and dots

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