The action of canonical transformations on functions defined on the configuration space

The effect of an arbitrary canonical transformation on functions defined on the configuration space is defined in such a way that a solution to the time-independent Hamilton-Jacobi equation is mapped into another solution if the Hamiltonian is invariant under the canonical transformation.

Detalles Bibliográficos
Autores: G.F. Torres del Castillo, D.A. Rosete Alvarez, I. Fuentecilla Cárcamo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2010
País:México
Institución:Benemérita Universidad Autónoma de Puebla
Repositorio:Redalyc-BUAP
OAI Identifier:oai:redalyc.org:57016006003
Acceso en línea:https://www.redalyc.org/articulo.oa?id=57016006003
Access Level:acceso abierto
Palabra clave:Física, Astronomía y Matemáticas
Hamilton
Jacobi equation
Canonical transformations
Descripción
Sumario:The effect of an arbitrary canonical transformation on functions defined on the configuration space is defined in such a way that a solution to the time-independent Hamilton-Jacobi equation is mapped into another solution if the Hamiltonian is invariant under the canonical transformation.