Consider a system of N non-interacting particles in which the energy of each particle can assume two
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Question:
Consider a system of N non-interacting particles in which the energy of each particle can assume two and only two distinct values, 0 and E (E>0). Denote by n0 and n1 the occupation numbers of the energy levels 0 and E respectively. The fixed total energy of the system is U.
a. Find the entropy of the system.
b. Find the temperature as a function of U.
c. Find the range of values on n0 for which T<0. What possible physical meaning can this have?
d. Derive the density of states g(E) as a function of energy E for a free electron gas in one dimension. Calculate the Fermi energy for an N electron system at zero temperature.
Related Book For
College Mathematics for Business Economics Life Sciences and Social Sciences
ISBN: 978-0321614001
12th edition
Authors: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen
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