Schrödinger equation with finitely many \(\delta\)-interactions: closed form, integral and series representations for solutions

DOI10.1007/s13324-024-00957-4MaRDI QIDQ6587511

Víctor A. Vicente-Benítez, Vladislav V. Kravchenko

Publication date: 14 August 2024

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

point interactions Fourier-Legendre series one-dimensional Schrödinger equation Neumann series of Bessel functions transmutation operator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Explicit solutions, first integrals of ordinary differential equations (34A05)

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