TakeHomeQuiz1

# TakeHomeQuiz1 - = Ã Ã Ã = Ã h h h h 29 2 2 2 2 2 n x x x x...

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PHY4221 Quantum Mechanics I (Fall 2004) Take Home Quiz 1 (Answer) ( 29 2 0 2 0 2 0 1 2 0 0 0 1 2 0 0 0 0 0 1 2 0 0 0 1 , 2 ! 1 1 , ! 1 2 ! x x n n n x n x n x x n x x H e where x x m n x x x a where e x x n x x x i p e x n x ϖ π - ÷ - ÷ + - ÷ Φ = = ÷ = Φ Φ = ÷ ÷ = - ÷ ÷ h h 2 2 0 0 2 2 2 2 0 0 0 0 2 2 0 0 0 1 1 2 2 0 0 0 1 1 2 2 0 0 1 1 2 2 0 0 n x x x x n n x x x x x x x x x x x x x x x x x H e i p e x x x x e e i p e e x x x e i e pe x - ÷ ÷ - - ÷ ÷ ÷ ÷ - ÷ ÷ = - ÷ ÷ ÷ = - ÷ ÷ = - ÷ ÷ h h h 2 2 0 2 2 0 0 2 2 0 0 2 0 2 0 2 0 0 0 2 0 0 0 1 1 , 2 n x x n x x x x n x x x x n x x x x e x x e i p p x e x x x x x e i p i e x x x e i p e - ÷ ÷ - ÷ ÷ - ÷ ÷ - ÷ = - + ÷ ÷ ÷
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Unformatted text preview: =-- Ã· Ã· Ã· =- Ã· h h h h ( 29 2 2 2 2 2 n x x x x x x n n x x x e i e i x e x e x Ã· - Ã· Ã· - Ã· Ã· âˆ‚ =- Ã· âˆ‚ âˆ‚ = - âˆ‚ h h...
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