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Unformatted text preview: Physics 828: Problem Set VIII Dr. Stroud Due Wednesday, March 6,2008 by 11:59 P. M. Each problem is worth 10 pts. unless otherwise specified. 1. Shankar, exercise 18.4.2. 2. Shankar, exercise 18.4.4. 3. (20 pts.) A hydrogen atom is initially in its 1s state. A uniform electric field E cos( ωt ) is applied to the atom. Calculate the ionization rate as a function of ω . You may assume that the final states are freeparticle states, and also that the proton is infinitely massive. 4. (20pts.) TimeDependent Schr¨odinger equation, twolevel sys tem, resonant perturbation. In this problem, you will obtain a (nearly) exact solution to the timedependent Schr¨odinger equation for a certain special case. As was discussed in class, the solution of the timedependent Schr¨odinger equation can be written in the form  ψ ( t ) ) = summationdisplay n c n ( t )  φ n ) , (1) where the  φ n ) are a complete orthonormal basis, and the c n ( t )’s are a set of timedependent coefficients. Let us assume that the Hamiltonianset of timedependent coefficients....
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This note was uploaded on 07/17/2008 for the course PHYS 828 taught by Professor Stroud during the Winter '08 term at Ohio State.
 Winter '08
 STROUD
 Physics, mechanics

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