Quantum states of a particle in a box via unilateral Fourier transform

The quantum problem of stationary states of a particle in a box is revisited by means of the unilateral Fourier transform. Homogeneous Dirichlet boundary conditions demand a finite Fourier sine transform which is actually the Fourier sine series.

Detalhes bibliográficos
Autores: Vieira, Douglas W. [UNESP], Castro, Antonio S. De [UNESP]
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:Brasil
Recursos:Universidade Estadual Paulista (UNESP)
Repositorio:Repositório Institucional da UNESP
Idioma:inglés
OAI Identifier:oai:repositorio.unesp.br:11449/211901
Acesso em linha:http://dx.doi.org/10.1590/1806-9126-RBEF-2020-0145
http://hdl.handle.net/11449/211901
Access Level:acceso abierto
Palavra-chave:Particle in a box
Infinite square-well potential
Unilateral Fourier transform
Descrição
Resumo:The quantum problem of stationary states of a particle in a box is revisited by means of the unilateral Fourier transform. Homogeneous Dirichlet boundary conditions demand a finite Fourier sine transform which is actually the Fourier sine series.