Quadratic time dependent Hamiltonian



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Topic: Science > Physics
User: ""
Date: 17 Aug 2006 05:30:10 AM
Object: Quadratic time dependent Hamiltonian
Hi!
I am trying to solve the problem of two coupled quantum harmonic
oscillators. The potential in which the two atoms move can be written
as:
V=sum_{ij=1,2} a(t)_{ij} x_i x_j +sum_{i=1,2} b(t)_i x_i
I would like to find (even numerically) the wave function of the two
particles as a function of time, assuming that at time t=0 the
particles are in the ground state.
Do you have any ideas?
Thanks a lot
Gabriele
.

 

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