This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Georg.Hoffstaetter@Cornell.edu 57 02/28/2005 Time dependence of quantum states =  t i n n E e x t x ) ( ) , ( Stationary states satisfy the time independent Schrdinger equation. The probability distribution is constant in time: and can therefore not describe moving particles 2 2 ) ( x = A linear combination of stationary states satisfies the time dependent Schrdinger equation and leads to time dependent probability distributions: ] Re[ 2     .) . (     ) )( (   ) ( ) ( ) , ( * 2 2 * 2 2 * * 2 t i m n m n t i m n m n t i m t i n t i m t i n t i m t i n m E n E m E n E m E n E m E n E m E n E e C C e e e e e e x e x t x  + + = + + + = + + = + =  ) ( ) ( ) ( ) ( 2 2 2 2 x E x x V x x m = +  Georg.Hoffstaetter@Cornell.edu 58 02/28/2005 Time dependent states in an infinite well t i t i E E e x A e x t x 1 ) ( ) ( ) , ( 1 1 + = = 8 )...
View
Full
Document
This note was uploaded on 09/28/2008 for the course PHYS 316 taught by Professor Hoffstaetter during the Spring '05 term at Cornell University (Engineering School).
 Spring '05
 HOFFSTAETTER
 Physics

Click to edit the document details