Derivation of the time-dependent propagator for the three-dimensional Schrodinger equation with one point interaction

DOI10.1088/0305-4470/23/19/003zbMath0729.35108OpenAlexW2073170884MaRDI QIDQ3353484

Alessandro Teta, Sergio Scarlatti

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1088/0305-4470/23/19/003

zbMATH Keywords

Schrödinger equationinverse Laplace transformation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)

Related Items (10)

On fractional powers of singular perturbations of the Laplacian ⋮ On real resonances for three-dimensional Schrödinger operators with point interactions ⋮ Singular Hartree equation in fractional perturbed Sobolev spaces ⋮ Fractional powers and singular perturbations of quantum differential Hamiltonians ⋮ \(L^p\)-boundedness of wave operators for the three-dimensional multi-centre point interaction ⋮ Green’s-function approach to two- and three-dimensional delta-function potentials and application to the spin-1/2 Aharonov–Bohm problem ⋮ Finite temperature quantum field theory on noncompact domains and application to delta interactions ⋮ Singular perturbations with boundary conditions and the Casimir effect in the half space ⋮ A characterization of singular Schrödinger operators on the half-line ⋮ A remark on the heat equation with a point perturbation, the Feynman-Kac formula with local time and derivative pricing

This page was built for publication: Derivation of the time-dependent propagator for the three-dimensional Schrodinger equation with one point interaction