Show that the wave functions for the ground state and the first excited state of the simple

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Show that the wave functions for the ground state and the first excited state of the simple harmonic oscillator, given in Equation 6-58, are orthogonal, that is, show that ∫Ψ₀(x)Ψ₁(x) dx = 0.

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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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Show that the wave functions for the ground state and the first excited state of the simple

Question:

₁(x) = A₁e-²/25 mo -Muar²/28 ₁ (x) A₁ ħ $₂(x) = A₂(1 – 2mw.x² ħ -max²/2h 6-58

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From Equation 658 Note ...View the full answer

Modern Physics

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