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2. (McQuarrie 8-36) Use perturbation theory to calculate the first-order correction to the energy of a particle constrained to move within the region 0 ≤x≤a in a potential given by: Vox V(x) = = 0 ≤ x ≤ 1/2 Vo(ax) / ≤ x ≤ a where Vo is a constant. 3. (McQuarrie 8-37) Use perturbation theory to calculate the first-order correction to the groundstate energy of a quartic oscillator whose potential energy is, perturbing potential? V (x) = cx4 Hint: Try adding and subtracting the harmonic oscillator potential, V (x) = (1/2)kx², from your Hamiltonian.

2. (McQuarrie 8-36) Use perturbation theory to calculate the first-order correction to the energy of a particle constrained to move within the region 0 ≤x≤a in a potential given by: Vox V(x) = = 0 ≤ x ≤ 1/2 Vo(ax) / ≤ x ≤ a where Vo is a constant. 3. (McQuarrie 8-37) Use perturbation theory to calculate the first-order correction to the groundstate energy of a quartic oscillator whose potential energy is, perturbing potential? V (x) = cx4 Hint: Try adding and subtracting the harmonic oscillator potential, V (x) = (1/2)kx², from your Hamiltonian.

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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2. (McQuarrie 8-36) Use perturbation theory to calculate the first-order correction to the energy of a particle constrained to move within the region 0 ≤x≤a in a potential given by: Vox V(x) = = 0 ≤ x ≤ 1/2 Vo(ax) / ≤ x ≤ a where Vo is a constant. 3. (McQuarrie 8-37) Use perturbation theory to calculate the first-order correction to the groundstate energy of a quartic oscillator whose potential energy is, perturbing potential? V (x) = cx4 Hint: Try adding and subtracting the harmonic oscillator potential, V (x) = (1/2)kx², from your Hamiltonian.
Transcribed Image Text:2. (McQuarrie 8-36) Use perturbation theory to calculate the first-order correction to the energy of a particle constrained to move within the region 0 ≤x≤a in a potential given by: Vox V(x) = = 0 ≤ x ≤ 1/2 Vo(ax) / ≤ x ≤ a where Vo is a constant. 3. (McQuarrie 8-37) Use perturbation theory to calculate the first-order correction to the groundstate energy of a quartic oscillator whose potential energy is, perturbing potential? V (x) = cx4 Hint: Try adding and subtracting the harmonic oscillator potential, V (x) = (1/2)kx², from your Hamiltonian.
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