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PHYS 414: Homework 7
This homework due Wednesday March 21
1. A large number N of independent fermions are in a box of volume V at temperature
T.
(a) (2 points) Express the pressure P exerted by this gas as a function of V and the
total energy U .
(b) (2
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PHYS 414: Homework 6
This homework due Wednesday March 7
1. A Carnot engine is connected to thermal reservoirs at temperatures T2 and T1 through
two identical thermal resistors R. [The heat current J passing through a thermal resistor R connecting two p
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PHYS 414: Homework 5
This homework due Wednesday Feb 22
1. Two spins, 1 and 3 , are held at xed positions a and +a. They do not interact
with each other. A third spin 2 is placed between them at position x, and is free to
move along the x-axis. Each spi
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PHYS 414: Homework 3
This homework due Friday Feb 10
1. (7 points) A particle of mass m moves in an anharmonic oscillator potential V (x) = Ax8
in one dimension. Estimate what the allowed quantum-mechanical energy levels of this
system might be by consi