Modern Physics
Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 7, Problem 4Q
To determine

Whether the particle found inside barrier have a negative kinetic energy.

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3. A particle of mass m moves in one dimension in a potential given by v(s)-c). where 8() is the Dirac delta function. The particle is bound. Find the value , such that the probability of finding the particle with l<, is exactly 1/2.
For a particle in a box, what would the probability distribution function Ic I2 look like if the particle behaved like a classical (Newtonian) particle? Do the actual probability distributions approach this classical form when n is very large? Explain.
A particle in a one-dimensional box of length L has a kinetic energy much greater than its rest energy. What is the ratio of the following energy levels En: E2/E1, E3/ E1, E4/E1? How do your answers compare with the nonrelativistic case?
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