Nonlocally induced (fractional) bound states: Shape analysis in the infinite Cauchy well

DOI10.1063/1.4936645zbMath1332.34133arXiv1503.07458OpenAlexW1643140129MaRDI QIDQ3463266

Piotr Garbaczewski, Mariusz Żaba

Publication date: 12 January 2016

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

Full work available at URL: https://arxiv.org/abs/1503.07458

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Singular perturbations of ordinary differential equations (34D15) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (4)

Lévy processes in bounded domains: path-wise reflection scenarios and signatures of confinement ⋮ Ultrarelativistic bound states in the spherical well ⋮ Definition of the Riesz derivative and its application to space fractional quantum mechanics ⋮ Brownian motion in trapping enclosures: steep potential wells, bistable wells and false bistability of induced Feynman–Kac (well) potentials

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