Integrais de caminho para o mapa do padeiro

AUTOR(ES)

Marcos Gomes Eleuterio da Luz

DATA DE PUBLICAÇÃO

1995

RESUMO

We derive a formally exact sum of path integrals for the quantum propagator of the baker s transformation. The phases depend only on the classical actions as in usual phase space path integrals and the sums are over alI the symbolic orbits. The deduction depends on multiple Poisson transformations, which lead to a further infinite sum of integrals, but our computations for the propagator and its trace show that this is rappidly convergent. Quantum corrections to the semiclassical propagator are discussed and explicit formulae for two iterations are presented. We also developed an stationary approximation considering edge effects. Such approximation gives nothing new for the propagator, but it becomes interesting for the trace, provide better results than the semiclassical one for times earlyer than the "log-time"

ASSUNTO(S)

integrais de trajetorias comportamento caotico nos sistemas

Documentos Relacionados

• O caminho do rio, o caminho do homem, o caminho das palavras...
• MAPA de unidades geoclimáticas para o Estado do Paraná para uso florestal.
• O caminho para casa : o retorno do Dekasseguis
• O imaginário do Hatha-Yoga: um caminho de volta para o centro
• O MAPA ENQUANTO DISCURSO E O DISCURSO DO MAPA: ALGUMAS QUESTÕES