MIT5_74s09_pset03

MIT5_74s09_pset03 - MIT OpenCourseWare http/ocw.mit.edu...

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MIT OpenCourseWare http://ocw.mit.edu 5.74 Introductory Quantum Mechanics II Spring 2009 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .
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5.74, Problem Set #3 Spring 2009 Due Date: Mar. 10, 2003 1. Relaxation from a Prepared State The linear response function R () τ describes the time-dependent behavior of a system subject to an impulsive perturbation from equilibrium. You can also imagine applying a force that holds the system away from isolated equilibrium state, and then suddenly releasing this force. The relaxation back to equilibrium is dictated by the step response function S ( ) , which we will investigate. The Hamiltonian for the system will reflect an applied constant force prior to time zero: HH 0 f () A f () t = f 0 0 t t < 0 0 = f 0 Θ t = t ( ) () is the unit step function. We have applied the force at a time in the distant past, so that the Θ t system at t = 0 has come to equilibrium under the Hamiltonian H . At long times, t = + , the system is at equilibrium under H 0 . We will use the eigenstates of
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This note was uploaded on 11/28/2011 for the course CHEM 5.74 taught by Professor Robertfield during the Spring '04 term at MIT.

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MIT5_74s09_pset03 - MIT OpenCourseWare http/ocw.mit.edu...

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