Scalar field in Reissner-Nordström spacetime: bound state and scattering state (with appendix on eliminating oscillation in partial sum approximation of periodic function)

DOI10.1016/j.aop.2021.168578zbMath1471.81105arXiv1902.01054OpenAlexW3189787609MaRDI QIDQ2050981

Yanyan Li

Publication date: 1 September 2021

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

Full work available at URL: https://arxiv.org/abs/1902.01054

zbMATH Keywords

integral equation methodReissner-Nordström spacetimemassive scalar fieldbound-state eigenfunction and eigenvalueoscillation in partial sum approximationscattering wave function and phase shift

Mathematics Subject Classification ID

Unified quantum theories (81V22) Black holes (83C57) General topics in linear spectral theory for PDEs (35P05) Perturbation theories for operators and differential equations in quantum theory (81Q15) (S)-matrix theory, etc. in quantum theory (81U20) Exact solutions to problems in general relativity and gravitational theory (83C15) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Resonances in quantum scattering theory (81U24)

Related Items (4)

Solving eigenproblem by duality transform ⋮ Mach’s principle-based model of the origin of mass ⋮ An indirect approach for quantum-mechanical eigenproblems: duality transforms ⋮ Long-range potential scattering: Converting long-range potential to short-range potential by tortoise coordinate

Uses Software

• DLMF

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