![]() ![]() Imprint: Upper Saddle River, NJ : Pearson. It looks like the product rule since the coefficients and the exponential are both time dependent, but there are only four terms. Introduction to quantum mechanics / Author / Creator: Griffiths, David J. I am not sure how we are doing this step above. The first two terms on the left cancel out the last two terms on the right, and hence." ![]() ![]() There is a derivation of the formula for determining the time-dependent coefficients, $c_a(t)$, $c_b(t)$, which I am stuck on:Īssuming that there are two orthonormal states, $\psi_a$ and $\psi_b$ (that are eigenfunctions of the Hamiltonian), we solve for $c_a(t)$ and $c_b(t)$ by demanding that $\Psi(t)$ satisfy the time-dependent Schrodinger equation, $$H\Psi=i\hbar\frac\biggr].$$ I am working my way through time-dependent perturbation theory at the moment. ![]()
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