Essential University Physics: Volume 2 (3rd Edition)
Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 36, Problem 59P

(a)

To determine

The number of articles in the infinite square well.

(b)

To determine

The energy of the highest energy particle.

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The energy eigenvalues of a particle in a 3-D box of dimensions (a, b, c) is given by E (nx, ny, nz) -2²² (²²² +²2² +²2²) (a) Ten protons are confined in a box of dimension (a, 2a, a) on each side. Calculate the total energy of the ground state of these ten protons if we assume that the protons don't interact with each other. (b) If the ten protons are replaced by 10 neutral hydrogen atoms in the ground state, calculate the total energy resulting from the confinement. Again assume that the hydrogen atoms do not interact with each other. You can treat the mass of proton and hydrogen atom to be identical.
= Consider a particle with mass m in an infinite square well of width L = 1, with energy E (a) What energy state n is this particle in? (b) What is the probability that the particle is in the range
A particle confined in a one-dimensional box has a lowest energy of E₁ If the mass of the particle is doubled, the lowest energy will be (A) zero (B) doubled (C) E₁/2 (D) E₁/4

Chapter 36 Solutions

Essential University Physics: Volume 2 (3rd Edition)

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