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This document contains 5 problems related to quantum mechanics perturbation theory. Problem 1 asks to determine the matrix element of the Hamiltonian operator for a free particle between position eigenstates. Problem 2 asks to express the time-dependent position eigenstate in terms of the initial position eigenstate. Problem 3 asks to find the eigenvalues and eigenvectors of a 2x2 matrix perturbatively and exactly, and compare the results. Problem 4 generalizes the perturbation theory expressions to arbitra
- Author
- Tripti Saraswat
- Language
- EN