6a.1 At sufficiently high temperatures wherein eB(E-μ) > 1, (and sufficiently low number of particles to satisfy the classical limit), show that the Fermi-Dirac and the Bose-Einstein distributions can be approximated by the Maxwell-Boltzmann distribution. eß(E-μ) » 1 → e(E-μ)/KBT 1 f(ε) = eß(ε-μ) +1 >> 1 (ε-μ) » KBT 1 eß (ε-μ)
6a.1 At sufficiently high temperatures wherein eB(E-μ) > 1, (and sufficiently low number of particles to satisfy the classical limit), show that the Fermi-Dirac and the Bose-Einstein distributions can be approximated by the Maxwell-Boltzmann distribution. eß(E-μ) » 1 → e(E-μ)/KBT 1 f(ε) = eß(ε-μ) +1 >> 1 (ε-μ) » KBT 1 eß (ε-μ)
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter41: Atomic Physics
Section: Chapter Questions
Problem 45AP
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![6a.1 At sufficiently high temperatures wherein eß(E-μ) >> 1, (and sufficiently low number of particles to
satisfy the classical limit), show that the Fermi-Dirac and the Bose-Einstein distributions can be
approximated by the Maxwell-Boltzmann distribution.
eß(ε-μ) » 1 → e(E-μ)/kgT » 1
1
f(ε) =
eß(E-μ) + 1
→ (ε -µ) » kBT
1
eß (ε-μ)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92b098b1-776e-4b52-a881-73cea01a37f4%2F1466cdc8-dea9-423c-be1c-b30a87d4aa9e%2Fvu74lu4_processed.png&w=3840&q=75)
Transcribed Image Text:6a.1 At sufficiently high temperatures wherein eß(E-μ) >> 1, (and sufficiently low number of particles to
satisfy the classical limit), show that the Fermi-Dirac and the Bose-Einstein distributions can be
approximated by the Maxwell-Boltzmann distribution.
eß(ε-μ) » 1 → e(E-μ)/kgT » 1
1
f(ε) =
eß(E-μ) + 1
→ (ε -µ) » kBT
1
eß (ε-μ)
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