Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 39, Problem 59P
To determine
To show that
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Which one of the following matrix is not part of the Lorentz group?
Select one:
O a.
O b.
0 с.
O d.
cosha sinha 0 0
sinha
cosh a
0 0
0
0
1 0
0
01
1
0
0
0
0
0 0
0
sin a
0
sin a
cos a
0
0 0 1
cos a
cosh a
— sinh a
0
0
cosh a
sinh a
0
0
−sinha
cosh a
0
0
– sinh a
cosh a
0
0
3
00
00
10
0 1
3
0 0
00
10
0 1
where a is a real parameter.
where a is a real parameter.
3
, where a is a real parameter.
where a is a real parameter.
I know the answer is c but can you please explain why
1. Consider the linear transformation with
=
(ct)' A(ct
z = C(z
-
Bz)
Dct)
xx and y = y,
=
where A, B, C, and D are unknown constants. Find values for these constants by
requiring that (ct)² - (2′)² = (ct)² - 2² and that the transformation reduce to a
Galilean transformation
in the limit that v/c<<1.
t' = t
z' = 2 - vt
x'x and y = y,
2. Consider the wave equation (V² - 1822) = 0. Show that
(a) This wave equation is not invariant under the Galilean transformation
t' = t
z = z- vt
x'x and y' = y.
(b) This wave equation is invariant under the Lorentz transformation
(ct)' = (ct - Bz)
z = (z - Bct)
xx and y = y,
=
with ẞ=v/c and y = (1 − ẞ²)-1/2.
-
Chapter 39 Solutions
Physics for Scientists and Engineers
Ch. 39 - Prob. 1PCh. 39 - Prob. 2PCh. 39 - Prob. 3PCh. 39 - Prob. 4PCh. 39 - Prob. 5PCh. 39 - Prob. 6PCh. 39 - Prob. 7PCh. 39 - Prob. 8PCh. 39 - Prob. 9PCh. 39 - Prob. 10P
Ch. 39 - Prob. 11PCh. 39 - Prob. 12PCh. 39 - Prob. 13PCh. 39 - Prob. 14PCh. 39 - Prob. 15PCh. 39 - Prob. 16PCh. 39 - Prob. 17PCh. 39 - Prob. 18PCh. 39 - Prob. 19PCh. 39 - Prob. 20PCh. 39 - Prob. 21PCh. 39 - Prob. 22PCh. 39 - Prob. 23PCh. 39 - Prob. 24PCh. 39 - Prob. 25PCh. 39 - Prob. 26PCh. 39 - Prob. 27PCh. 39 - Prob. 28PCh. 39 - Prob. 29PCh. 39 - Prob. 30PCh. 39 - Prob. 31PCh. 39 - Prob. 32PCh. 39 - Prob. 33PCh. 39 - Prob. 34PCh. 39 - Prob. 35PCh. 39 - Prob. 36PCh. 39 - Prob. 37PCh. 39 - Prob. 38PCh. 39 - Prob. 39PCh. 39 - Prob. 40PCh. 39 - Prob. 41PCh. 39 - Prob. 42PCh. 39 - Prob. 43PCh. 39 - Prob. 44PCh. 39 - Prob. 45PCh. 39 - Prob. 46PCh. 39 - Prob. 47PCh. 39 - Prob. 48PCh. 39 - Prob. 49PCh. 39 - Prob. 50PCh. 39 - Prob. 51PCh. 39 - Prob. 52PCh. 39 - Prob. 53PCh. 39 - Prob. 54PCh. 39 - Prob. 55PCh. 39 - Prob. 56PCh. 39 - Prob. 57PCh. 39 - Prob. 58PCh. 39 - Prob. 59PCh. 39 - Prob. 60P
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