Consider a particle in a box of length L with one end coinciding with the origin. 1. Compute the time-dependent uncertainty in position and momentum for a particle that is in an equal probability superposition of the n=1 and n=3 states. 2. Demonstrate the Heisenberg uncertainty relations in this case.
Consider a particle in a box of length L with one end coinciding with the origin. 1. Compute the time-dependent uncertainty in position and momentum for a particle that is in an equal probability superposition of the n=1 and n=3 states. 2. Demonstrate the Heisenberg uncertainty relations in this case.
Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter10: Introduction To Quantum Mechanics
Section: Chapter Questions
Problem 10.23E: The uncertainty principle is related to the order of the two operators operating on a wavefunction....
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Consider a particle in a box of length L with one end coinciding with the origin.
1. Compute the time-dependent uncertainty in position and momentum for a particle that is in an equal probability superposition of the n=1 and n=3 states.
2. Demonstrate the Heisenberg uncertainty relations in this case.
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