513.001 Molecular and Solid State Physics | |
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Hamiltonian matrixThe infinite square well problem has the following eigen function solutions and eigen energies.
Consider the perturbed potential We seek the best solution to the this perturbed potential in terms of a linear superposition of the first three infinite square well eigen states. $\large \psi = c_1\psi_1+c_2\psi_2 + c_3\psi_3$ Construct the Hamiltonian matrix and solve the resulting eigenvalue equation to find the eigenvalues of and eigenvectors. |