Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 29, Problem 54P
To determine

The ground state energy of the system.

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A system has N weakly interacting identical particles. Each particle has 2 energy levels that are 0 and α. Using ni=Ae^−εi/kT What is the energy U of this system at a given temperature T?  What is the value of energy as T→∞, and T→0?
Statistical Mechanics. We have a system of N bosons with zero spin. Each boson can have two states of energies 0 and E. Let μ be the chemical potential of the system and suppose that N >> 1. a) Determine the temperature T so that the mean population of the ground state is twice that of the excited state of energy E. Express kT only in terms of N and E. b) What would be the corresponding temperature T′ if the particles obeyed Boltzmann statistics? Compare both results and discuss them physically.
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Principles of Physics: A Calculus-Based Text

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