Problem 2.38 (a) Show that the wave function of a particle in the infinite square well returns to its original form after a quantum revival time T = 4ma?/nh. That is: Y (x, T) = 4 (x, 0) for any state (not just a stationary state). %3D (b) What is the classical revival time, for a particle of energy E bouncing back and forth between the walls? (c) For what energy are the two revival times equal?

Problem 2.38 (a) Show that the wave function of a particle in the infinite square well returns to its original form after a quantum revival time T = 4ma?/nh. That is: Y (x, T) = 4 (x, 0) for any state (not just a stationary state). %3D (b) What is the classical revival time, for a particle of energy E bouncing back and forth between the walls? (c) For what energy are the two revival times equal?

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter14: Special Theory Of Relativity

Section: Chapter Questions

Problem 14.37P

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