Idioma:

Unified theory of exactly and quasiexactly solvable “discrete” quantum mechanics. I. Formalism

Odake, Satoru ; Sasaki, Ryu

Journal of mathematical physics, 2010-08, Vol.51 (8), p.083502-083502-24 [Periódico revisado por pares]

Melville, NY: American Institute of Physics

Texto completo disponível

Citações Citado por

Enviar para

Título:
Unified theory of exactly and quasiexactly solvable “discrete” quantum mechanics. I. Formalism
Autor: Odake, Satoru ; Sasaki, Ryu
Assuntos: ALGEBRA ; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; COORDINATES ; DIFFERENTIAL EQUATIONS ; EIGENFUNCTIONS ; EIGENVALUES ; EQUATIONS ; Exact sciences and technology ; FUNCTIONS ; HAMILTONIANS ; Mathematical functions ; Mathematical methods in physics ; Mathematical models ; MATHEMATICAL OPERATORS ; MATHEMATICS ; MECHANICS ; ONE-DIMENSIONAL CALCULATIONS ; PARTIAL DIFFERENTIAL EQUATIONS ; Physics ; POLYNOMIALS ; QUANTUM MECHANICS ; QUANTUM OPERATORS ; Quantum physics ; Schrodinger equation ; SCHROEDINGER EQUATION ; Sciences and techniques of general use ; WAVE EQUATIONS
É parte de: Journal of mathematical physics, 2010-08, Vol.51 (8), p.083502-083502-24
Descrição: We present a simple recipe to construct exactly and quasiexactly solvable Hamiltonians in one-dimensional “discrete” quantum mechanics, in which the Schrödinger equation is a difference equation. It reproduces all the known ones whose eigenfunctions consist of the Askey scheme of hypergeometric orthogonal polynomials of a continuous or a discrete variable. The recipe also predicts several new ones. An essential role is played by the sinusoidal coordinate, which generates the closure relation and the Askey–Wilson algebra together with the Hamiltonian. The relationship between the closure relation and the Askey–Wilson algebra is clarified.
Editor: Melville, NY: American Institute of Physics
Idioma: Inglês

Links

Voltar para lista de resultados

Realização: Logos de Redes Sociais:

Unified theory of exactly and quasiexactly solvable “discrete” quantum mechanics. I. Formalism

Odake, Satoru ; Sasaki, Ryu

Melville, NY: American Institute of Physics

Buscando em bases de dados remotas. Favor aguardar.