FIGURE 28.18 A particle of mass m confined in a box of length L. (a) A classical particle of mass m bounces back and forth between two boundaries. L m V (b) Matter waves moving in opposite directions create standing waves. L Matter waves travel in both directions.

FIGURE 28.18 A particle of mass m confined in a box of length L. (a) A classical particle of mass m bounces back and forth between two boundaries. L m V (b) Matter waves moving in opposite directions create standing waves. L Matter waves travel in both directions.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter7: Quantum Mechanics

Section: Chapter Questions

Problem 35P: Some unstable elementary particle has a rest energy of 80.41 GeV and an uncertainty in rest energy...

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Question

Imagine that the horizontal box shown is instead oriented vertically. Also imagine the box to be on a neutron star where the gravitational field is so strong that the particle in the box slows significantly, nearly stopping, before it hits the top of the box. Make a qualitative sketch of the n = 3 de Broglie
standing wave of a particle in this box.
Hint: The nodes are not uniformly spaced.

FIGURE 28.18 A particle of mass m
confined in a box of length L.
(a) A classical particle of mass m bounces back
and forth between two boundaries.
L
m
V
(b) Matter waves moving in opposite directions
create standing waves.
L
Matter waves travel
in both directions.

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