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Inferir la interpretación estadística de la mecánica cuántica desde el límite clásico

¹Laboratory for Nuclear Studies, Cornell University, Ithaca, New York 14853, USA. kg13@cornell.edu

|June 13, 2000

Resumen

Este estudio sugiere que la interpretación estadística de la mecánica cuántica puede ser parcialmente derivable de la ecuación de Schrödinger para sistemas con variables discretas. Muestra que esta interpretación está implícita en las descripciones clásicas del movimiento bruto, pero no para las variables continuas.

Área de la Ciencia:

La mecánica cuántica es la mecánica cuántica.
Interpretación estadística de las estadísticas.
La física teórica es la física teórica.

Sus antecedentes:

La interpretación estadística de la mecánica cuántica es típicamente un axioma independiente.
La ecuación de Schrödinger gobierna la evolución del sistema cuántico.

Objetivo del estudio:

Investigar si la interpretación estadística de la mecánica cuántica puede inferirse de la ecuación de Schrödinger.
Explorar la relación entre las descripciones clásicas y la interpretación estadística cuántica.

Principales métodos:

Análisis de sistemas con grados de libertad tanto continuos como discretos (por ejemplo, coordenadas y giro).
Aplicando el requisito de que el movimiento bruto del sistema pueda ser descrito clásicamente.

Principales resultados:

La interpretación estadística de variables discretas está implícita en la ecuación de Schrödinger bajo condiciones clásicas específicas.
Esta implicación no se extiende a las variables continuas.

Conclusiones:

La interpretación estadística de la mecánica cuántica no es totalmente independiente de la ecuación de Schrödinger para variables discretas.
Una derivación completa de la interpretación estadística para todas las variables sigue siendo un desafío abierto.

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