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hw3_p5405_f04 - HW3 Phys5405 f04 due 2 h 1 Show that the...

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HW3 Phys5405 f04 due 9/23/04 1) Show that the Schrodinger Equation, - ¯ h 2 2 m 2 Ψ = i ¯ h Ψ ∂t , is invariant under the Galillean transform, provided the wave function in the O’ frame is renormalized by a phase, Ψ = Ψ e , where α = - mv ¯ h ( z - vt/ 2) and z is the direction of relative motion between O and O’. That is, show that - ¯ h 2 2 m 2 Ψ = i ¯ h Ψ ∂t . 2) JDJ 11-3 3) JDJ 11-4
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