A particle of mass m moves in a region in which the potential energy is constant, V V 0 (a) Show that neither (x,t) Asin(kx t) nor (x,t) Acos (kx t) satisfies the time dependent Schrdinger equation (b) Show that (x, t) A cos(kx t) isin (kx t) Ae i(kx t) does satisfy the time independent Schrdinger ...

a Because the sin and cos are not proportional this ...

A particle of mass m moves in a region in which the potential energy is constant, V

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A particle of mass m moves in a region in which the potential energy is constant, V = V₀.

(a) Show that neither Ψ(x,t) = Asin(kx - ωt) nor Ψ(x,t) = Acos (kx-ωt) satisfies the time-dependent Schrödinger equation.

(b) Show that Ψ(x, t) = A[cos(kx - ωt) + isin (kx - ωt)] = Ae^{i(kx -} ^ωt) does satisfy the time-independent Schrödinger equation provided that k, V₀, and v are related by Equation 6-5.

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Modern Physics

ISBN: 9781429250788

6th Edition

Authors: Paul A. Tipler, Ralph Llewellyn

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Question Posted: Feb 14, 2023 08:14 AM

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A particle of mass m moves in a region in which the potential energy is constant, V

Question:

frw = 22 + V 2m 6-5

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a Because the sin and cos are not proportional this ...View the full answer

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