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Consider a particle in a one dimensional box of length 'a' with the following potential V(x) = ∞ V(x) = ∞ V(x)=0 V(x) = V₁ x < 0 x > a 0≤x≤a/2 a/2≤x≤a Starting with the standard particle in a box hamiltonian as the zeroth order Hamiltonian and the potential of V, from 'a/2' to 'a' as a perturbation, the first-order energy correction to the ground state is

Consider a particle in a one dimensional box of length 'a' with the following potential V(x) = ∞ V(x) = ∞ V(x)=0 V(x) = V₁ x < 0 x > a 0≤x≤a/2 a/2≤x≤a Starting with the standard particle in a box hamiltonian as the zeroth order Hamiltonian and the potential of V, from 'a/2' to 'a' as a perturbation, the first-order energy correction to the ground state is

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Consider a particle in a one dimensional box of length ‘a' with the following potential V(x) = ∞ x < 0 V(x) = ∞ V(x)=0 V(x) = V₁ X > a is (a) V₁ 0≤x≤a/2 a/2≤x≤ a Starting with the standard particle in a box hamiltonian as the zeroth order Hamiltonian and the potential of V, from 'a/2' to 'a' as a perturbation, the first-order energy correction to the ground state (b) V₁/4 (c) -V₁ (d) V₁/2
Transcribed Image Text:Consider a particle in a one dimensional box of length ‘a' with the following potential V(x) = ∞ x < 0 V(x) = ∞ V(x)=0 V(x) = V₁ X > a is (a) V₁ 0≤x≤a/2 a/2≤x≤ a Starting with the standard particle in a box hamiltonian as the zeroth order Hamiltonian and the potential of V, from 'a/2' to 'a' as a perturbation, the first-order energy correction to the ground state (b) V₁/4 (c) -V₁ (d) V₁/2
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