14
Time-Dependent Perturbation Theory
When the Hamiltonian is independent of time, one obtains the stationary state solution. The solution to the time-dependent Schrödinger equation in such cases is restricted to the dynamical phase factor e-iEnt/ħ. When the Hamiltonian becomes time dependent, the solution to the Schrödinger equation becomes more complex. In only a few cases, exact analytical solutions are available, and hence we have to resort to approximation methods as we did in the case of time-independent Schrödinger equation. Three kinds of approximations have been presented here. They are time-dependent perturbation theory, adiabatic approximation and sudden approximation.
14.1 TIME-DEPENDENT PERTURBATION THEORY–BASIS
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