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Unformatted text preview: Problem Set 10 Note: The following problem set is due November 21 by 9:00 pm. Please return directly to me in my office Rutherford 321. If I’m not there slip your assignment below my door. 1. I put a quantum particle of mass m in a box of length L . The position of the particle is random and is given by wavefunctions depending on what energies the particle has. Imagine I detect the particle at a point x = x inside the box such that 0 < x < L at a time t = 0. Answer the following questions quantitatively: (a) Determine the probability of finding the particle at the same point x at a later time t 1 > 0. What is the probability of finding the particle at a different point x = x 1 at the same time t 1 ? Analyse this using the time dependent wavefunction of the system. (b) Now consider the following scenario: the instant I detect the particle at x = x both the walls of the box suddenly fall down so that the particle has a free access to go anywhere. What is the probability of finding the particle at the same point but at a later time t 1 ?...
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This note was uploaded on 12/15/2010 for the course PHYS 357 taught by Professor Keshavdasgupta during the Fall '05 term at McGill.
 Fall '05
 KeshavDasgupta
 mechanics, Mass

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