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Question A6 Consider an infinite square well with V = 0 in the interval -L/2 < x < L/2, and V → ∞ everywhere else. A particle of mass m is in the groundstate of this system, and is known to have a wavefunction and energy given by TX √ = COS and E = π²h² 2mL² The system is then perturbed so that its potential takes the constant value V

Question A6 Consider an infinite square well with V = 0 in the interval -L/2 < x < L/2, and V → ∞ everywhere else. A particle of mass m is in the groundstate of this system, and is known to have a wavefunction and energy given by TX √ = COS and E = π²h² 2mL² The system is then perturbed so that its potential takes the constant value V

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question A6 Consider an infinite square well with V = 0 in the interval -L/2 < x < L/2, and V → ∞ everywhere else. A particle of mass m is in the groundstate of this system, and is known to have a wavefunction and energy given by TX √ = COS and E = π²h² 2mL² The system is then perturbed so that its potential takes the constant value V <E in the region -L/4 < x < L/4, while the value of V(x) at all other locations is unchanged. Sketch the new potential, and calculate the change that this perturbation induces in the energy level of the groundstate. [8 marks]
Transcribed Image Text:Question A6 Consider an infinite square well with V = 0 in the interval -L/2 < x < L/2, and V → ∞ everywhere else. A particle of mass m is in the groundstate of this system, and is known to have a wavefunction and energy given by TX √ = COS and E = π²h² 2mL² The system is then perturbed so that its potential takes the constant value V <E in the region -L/4 < x < L/4, while the value of V(x) at all other locations is unchanged. Sketch the new potential, and calculate the change that this perturbation induces in the energy level of the groundstate. [8 marks]
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