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UBA - CienciaS • Ver Tema - [semiresuelto] 2°Parcial-1er cuatrimestre 2000-ejercicio 3
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Fecha actual 06 Dic 2024, 07:33

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 Asunto: [semiresuelto] 2°Parcial-1er cuatrimestre 2000-ejercicio 3
NotaPublicado: 15 Dic 2009, 01:49 
Vago

Registrado: 13 Dic 2009, 14:44
Mensajes: 5
Considere una partícula sometida a un potencial de oscilador armónicon unidimensional. A t=0 la función de onda está dada por :

donde se ha puesto y donde y son las autofunciones de energía más baja y
a) Calcular la probabilidad de encontrar a la partícula en x>0 en el instante inicial, es decir P(t=0, x>0)
b)Calcule <x> (t=0), <p> (t=0), y obtenga <x>(t), <p>(t) mediante el teorema de Eherenfest
c) Qué valores de energía pueden medirse en un instante t arbitrario y con qué probabilidad? ¿Cuánto vale <H>(t)?
d)En t=2 se mide la energía y se obtiene ¿Cuánto vale P(t, x>0) a partir de ese instante?


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 Asunto: Re: [semiresuelto] 2°Parcial-1er cuatrimestre 2000-ejercicio 3
NotaPublicado: 15 Dic 2009, 09:30 
Profesor
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Registrado: 09 Ago 2008, 19:36
Mensajes: 214
Yo hice lo mismo en el punto d.

Antes de medir vos solo podés saber la probabilidad de que la partícula se encuentre en cierto estado. Pero una vez que medís vos ya sabés en que estado está. Es como lo del gato (salvando las distancias) vos no sabés si está vivo o muerto hasta que abrís la caja.



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 Asunto: Re: [semiresuelto] 2°Parcial-1er cuatrimestre 2000-ejercicio 3
NotaPublicado: 15 Dic 2009, 11:49 
Doctor
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Registrado: 09 Ago 2008, 19:30
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hay que volver a normalizar en el d)? no me había dado cuenta de eso..



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