# hw.3 - E exp-t τ 3 CT Complement E XIII(p 1357 Problem 1ab...

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Physics 829 Spring 2001 Dr. Herbst Homework Assignment # 3 Due: 20 April 2001 1) An electron exists in its ground state in a one-dimensional box (0 x a) with infinite walls. At t=- , a homogeneous electric field E in the x-direction is turned on according to the formula: E(t) = {B τ/π e} { τ 2 + t 2 } -1 To first order, what is the probability that the electron will end up in any state |f> with f>1 as t -> ? Is there any selection rule? What (if any) states can be reached in second-order if not in first order? 2) Repeat problem 1 with the following field (which is turned on at t=0): E =
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Unformatted text preview: E exp(-t/ τ ). 3) CT Complement E XIII (p. 1357) Problem 1ab 4) A hydrogen atom lies in its ground state. At t=0 a homogeneous electric field E in the x-direction is turned on and left on for a short time τ. To first order, what is the probability that the electron will end up in the assorted n=2 states after the field is off? What additional states in the n=2 and 3 manifolds can be reached in second order?...
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