Solution of the Schrödinger Equation in the Hardy-Lebesgue Space

DOI10.1063/1.1665830zbMath0226.47026OpenAlexW2029004582MaRDI QIDQ5633157

Evangelos K. Ifantis

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1063/1.1665830

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items

A ``discretization technique for the solution of ODEs ⋮ Study of Differential Equations of Physics in the Hardy-Lebesgue Space ⋮ An existence theory for functional-differential equations and functional- differential systems ⋮ A functional-analytic technique for the study of analytic solutions of PDEs

Cites Work

• Spectral Theory of the Difference Equation f(n + 1) + f(n − 1) = [E − φ(n)f(n)]
• Canonically Conjugate Pairs, Uncertainty Relations, and Phase Operators
• Structure of the Point Spectrum of Schrödinger-Type Tridiagonal Operators
• Abstract Formulation of the Quantum Mechanical Oscillator Phase Problem