Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Chapter 7.2, Problem 7.12P

(a)

To determine

The eigenvectors and eigenvalues of the unperturbed Hamiltonian (ε=0).

(b)

To determine

The exact eigenvalues of H and expand each of them as a power series in ε up to the second order.

(c)

To determine

The approximate eigenvalue for the state that grows out of the nondegenerate eigenvector of H0 using first- and second-order non-degenerate perturbation theory and compare it to the exact result from part (b).

(d)

To determine

The first-order correction to the two initially degenerate eigenvalues using degenerate perturbation theory.

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