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Unformatted text preview: 4. (Griffiths, Problem 1.16) Show that d dt 1 2 dx = for any two (normalizable) solutions to the Schrdinger equation, 1 x ,t and 2 x,t . 5. (Griffiths, Problem 1.9) A particle of mass m is in the state x ,t = Ae a [ mx 2 / it ] where A and a are positive real constants. (a) Find A . (b) For what potential energy function V x does satisfy the Schrdinger equation? (c) Calculate the expectation values of X ,X 2 ,P and P 2 . (d) Find x and p . Is their product consistent with the uncertainty principle?...
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This note was uploaded on 04/11/2010 for the course PHYS 446 taught by Professor Vachon during the Fall '08 term at McGill.
 Fall '08
 Vachon
 mechanics

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