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Natural Science Forum / Physics / Research / March 2008QM: Particle in time-dependent potential
I'm looking to solve the time-dependent Schrodinger equition for a particle in a time-dependent periodic potential. So the Hamiltonian looks like: H = H_0 + eVcos(wt) where H_0 is the unperturbed Hamiltonian. How do I solve the time-dependent SE? Any help is really appreciated! On 18 mrt, 21:33, remcox...@hotmail.com wrote: > I'm looking to solve the time-dependent Schrodinger equition for a > particle in a time-dependent periodic potential. So the Hamiltonian [quoted text clipped - 7 lines] > > Any help is really appreciated! Nevermind...I solved it. On Mar 19, 1:33 am, remcox...@hotmail.com wrote: > I'm looking to solve the time-dependent Schrodinger equition for a > particle in a time-dependent periodic potential. So the Hamiltonian [quoted text clipped - 7 lines] > > Any help is really appreciated! If V is a constant, then the problem can be solved by a simple variable separation (assuming that H_0=(p^2/2*m)+U(x)). If on the other hand, V=V(x,t), then the problem can be solved by standard means like time dependent perturbation etc. Yet another, although esoteric, method might be to apply the techniques of supersymmetric quantum mechanics to find a partner hamiltonian etc and then arrive at the energy eigenvalues. |
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