The conserved operators generated by a solution of the Schrödinger equation

It is shown that, in a similar manner as a complete solution of the Hamilton-Jacobi equation for a system with n degrees of freedom yields 2n constants of motion, each solution of the Schrödinger equation containing n parameters leads to 2n operators that are constants of motion;these 2n operators f...

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Detalhes bibliográficos
Autores: G.F. Torres del Castillo, E. Navarro Morales
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2012
País:México
Recursos:Benemérita Universidad Autónoma de Puebla
Repositorio:Redalyc-BUAP
OAI Identifier:oai:redalyc.org:57023422010
Acesso em linha:https://www.redalyc.org/articulo.oa?id=57023422010
Access Level:acceso abierto
Palavra-chave:Física, Astronomía y Matemáticas
Hamilton
s equation
Schrödinger
Wavefunctions
Jacobi equation
Descrição
Resumo:It is shown that, in a similar manner as a complete solution of the Hamilton-Jacobi equation for a system with n degrees of freedom yields 2n constants of motion, each solution of the Schrödinger equation containing n parameters leads to 2n operators that are constants of motion;these 2n operators form two sets of n mutually commuting operators.