Exercise_Solution

Exercise_Solution - Solution of the exercise in the Simple...

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Unformatted text preview: Solution of the exercise in the Simple Harmonic Oscillator: Most of you may have been familiar with the following relation: 1 1 1 1 | | | n n n x x a a x n n + +-- = = , (1) So we could go further and get: ( 29 ( 29 ( 29 ( 29 ( 29 1 1 1 1 1 1 | | 1 1 2 1 2 2 1 1 2 n n n n n n x a x n a x n d m x dx x n m m d x x m dx n d m x x where d x n +- +---- = = - = =- =- = h h h h h (2) Or equally we could rewrite the above result as: ( 29 ( 29 1 1 1 2 n n d y y y where y x dy n - =- = (3) Go on to use this method you could finally obtain: ( 29 ( 29 ( 29 1/ 4 2 1/2 2 1/2 2 2 1 1 ! 2 1 1 exp 2 ! 2 exp 2 2 ! exp exp exp 2 2 2 ! n n n n n y n n n n d y y y dy n d m y y dy n n d y y dy n y d y y dy n =- =-- =-- =--...
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This note was uploaded on 12/10/2011 for the course PHYS 4221 taught by Professor Cflo during the Spring '11 term at CUHK.

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Exercise_Solution - Solution of the exercise in the Simple...

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