An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Question
Chapter B.1, Problem 2P
To determine
The solution of the equation
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Evaluate the commutator L,,L, L, |-
(a) h’L,
(b) 0
(c) h'L,
(d) h’L.
Answer
B
Problem 15 Calculate the divergence of the following vector functions:
(a) v,=x+ 3xz 9- 2xz2.
(b) v, = xyi + 2yz ý + 3zx î.
(e) v, y &+ (2xy+z)9+2yz2
Problem 16 Sketch the vector function
and compute its divergence. The answer may surprise you...can you explain it?
Problem 17 In two dimensions, show that the divergence transforms as a scalar
under rotations. [Hint: Use Eq. 29 to determine , and ū., and the method of
Prob. 14 to calculate the derivatives. Your aim is to show that au,/ay +av,/az =
au,/ay + av/az.]
%3D
(a) With reference to the origin O, the points A and B have position vectors a and b respectively,
and O, A and B are non-collinear. The point C, with position vector c, is the reflection of B in
the line through O and A.
Show that c can be written in the form c = X a - b, where >
C
A
2a.b
a.a
B
Chapter B Solutions
An Introduction to Thermal Physics
Ch. B.1 - Sketch an antiderivative of the function ex2.Ch. B.1 - Prob. 2PCh. B.1 - Prob. 3PCh. B.1 - Prob. 4PCh. B.1 - Prob. 5PCh. B.1 - Prob. 6PCh. B.2 - Prob. 7PCh. B.2 - Prob. 8PCh. B.2 - Prob. 9PCh. B.3 - Prob. 10P
Ch. B.3 - Prob. 11PCh. B.3 - Prob. 12PCh. B.3 - Prob. 13PCh. B.4 - Prob. 14PCh. B.4 - Prob. 15PCh. B.4 - Derive a formula for the volume of a d-dimensional...Ch. B.5 - Derive the general integration formulas B.36Ch. B.5 - Prob. 18PCh. B.5 - Prob. 19PCh. B.5 - Evaluate equation B.41 at x=/2, to obtain a famous...Ch. B.5 - Prob. 21PCh. B.5 - Prob. 22P
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