The wave function 0 (x) Ae x2 2L 2 represents the ground state energy of a harmonic oscillator (a) Show that 1 (x) Ld 0 (x) dx is also a solution of Schrdingers equation (b) What is the energy of this new state (c) From a look at the nodes of this wave function, how would you classify this excited ...

a b We see from a that E 3 2 2mL 2 or three ...

The wave function 0 (x) = Ae -x2/2L 2 represents the ground-state energy of a harmonic

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The wave function Ψ₀(x) = Ae^-x2/2L² represents the ground-state energy of a harmonic oscillator.

(a) Show that Ψ₁(x) = LdΨ₀(x)/dx is also a solution of Schrödinger’s equation.

(b) What is the energy of this new state?

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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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The wave function 0 (x) = Ae -x2/2L 2 represents the ground-state energy of a harmonic

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