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HW7 - as A t e iS cl ¯ h You need not compute A t...

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Physics 731 Assignment #7, due Monday, November 9 1. Using the Feynman path integral approach, compute the position space propagator K ( x, t ; x , 0) for a particle of mass m subject to a constant force F in one dimension. 2. Using the Feynman path integral approach, compute the position space propagator K ( x, t ; x , 0) for the simple harmonic oscillator in one dimension (with mass m , frequency ω ). Express your answer
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Unformatted text preview: as A ( t ) e iS cl / ¯ h . You need not compute A ( t ) explicitly, but you should write its form down on dimen-sionful grounds. 3. Sakurai, Chapter 3, Problem 2. Note that U = ( a + i~σ · ~a )( a-i~σ · ~a )-1 . 4. Sakurai, Chapter 3, Problem 4. 5. Sakurai, Chapter 3, Problem 6. 6. Sakurai, Chapter 3, Problem 8. 7. Sakurai, Chapter 3, Problem 14. 1...
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