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Physics 651 Homework 12: Gaussian Wave Packet Expectation Values, Assignments of Quantum Mechanics

The twelfth homework assignment for physics 651, a university-level quantum mechanics course, due on october 29, 2007. Students are asked to calculate the expectation values of position squared (x2) and momentum squared (p2) for a gaussian wave packet using two different approaches: expressing the state in terms of position (x) and momentum (p) bases. The reading assignment for this week is sakurai chapter 1.

Typology: Assignments

Pre 2010

Uploaded on 08/31/2009

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Phys 651 Fall 2007
Homework #12
(due Monday, October 29, 2007)
1. (20 pts) Consider a Gaussian wave packet (Lecture #13). Find expectation
values of X2 and P2 using two approaches (i.e. expressing the states in terms of p-basis
and x-basis), similar to what we did in class in the case of <P>.
2. Reading assignment: Sakurai Chapter 1.

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Phys 651 Fall 2007 Homework # (due Monday, October 29, 2007)

  1. (20 pts) Consider a Gaussian wave packet (Lecture #13). Find expectation values of X^2 and P^2 using two approaches (i.e. expressing the states in terms of p-basis and x-basis), similar to what we did in class in the case of

    .

  2. Reading assignment: Sakurai Chapter 1.