Essential University Physics (3rd Edition)
Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 36, Problem 58P

(a)

To determine

The expression for the system of N electrons in a harmonic oscillator potential in its state of lowest energy if n is even.

(b)

To determine

The expression for the system of N electrons in a harmonic oscillator potential in its state of lowest energy if n is odd.

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Suppose a system contain four identical particles and five energy levels given by the relationship, E;= i × 10-2º J, where i = 0,1,2 ,3,4. If the total energy of the system is Er= 6 E. Find the total number of the microscopic states for the distribution of these particles over the system energy levels keeping the given system conditions. Solution 4 identical particles Energy (10- Joule) Macroscopic state 4 Er= 6 € 3 Levels 1 E2 E (10-º J) k 1 2 4 5 6 7 N! Wk no! n!n2!n3!n4! Sk = kglnwk
We can approximate an electron moving in a nanowire (a small, thin wire) as a one-dimensional infi nite square-well potential. Let the wire be 2.0 μm long. The nanowire is cooled to a temperature of 13 K, and we assume the electron’s average kinetic energy is that of gas molecules at this temperature ( 3kT/2). (a) What are the three lowest possible energy levels of the electrons? (b) What is the approximate quantum number of electrons moving in the wire?
Suppose a system contain four identical particles and five energy levels given by the relationship, E;= i x 10-20 J, where i = 0 ,1,2,3,4. If the total energy of the system is Er= 6 €. Find the total number of the microscopic states for the distribution of these particles over the system energy levels keeping the given system conditions. Solution 4 identical particles Energy (10 Joule) Macroscopic state 4 Er= 6 € 3 Levels 1 E(10 ) k 1 2 3 4. 7 N! Wk = no!n;!n2!n3!n4! SK = kglnwk

Chapter 36 Solutions

Essential University Physics (3rd Edition)

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