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Physics 607 Exam 2 Please show all significant steps clearly in all problems.
 

Summary: Physics 607 Exam 2
Please show all significant steps clearly in all problems.
1. Consider spin waves at the surface of a ferromagnetic solid, with a single polarization and
the dispersion relation = c k2
, where c is a constant. Since a surface is 2-dimensional, you
may consider this to be a 2-dimensional system with area A.
(a) (5) Show that the number of wavevectors with magnitude in the interval dk at k is
given by
(k) dk = constant A k dk (1)
and determine the constant.
(b) (15) Show that the heat capacity at low temperature T is given by
CV = constant T
. (2)
At the same time, determine the constant prefactor and the value of .
1
2. In three dimensions, the number of wavevectors whose magnitude lies in the interval
dk at k is given by
(k) dk =
4k2
dk

  

Source: Allen, Roland E. - Department of Physics and Astronomy, Texas A&M University

 

Collections: Physics