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, Ψ0 = Ψ e iα , 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 ∇0 2 Ψ0 = i ¯ h ∂ Ψ0 ∂t0 . 2) JDJ 11-3 3) JDJ 11-4 4) Using the information about the relativistic Doppler shift show that the phase of an
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This note was uploaded on 12/24/2011 for the course PHYS 5406 taught by Professor Blecher during the Spring '10 term at Virginia Tech.