Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Chapter 6, Problem 44E
To determine
To show:
Phase velocity of the particle is obtained as
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A real wave function is defined on the half-axis:
[0≤x≤00) as y(x) = A(x/xo)e-x/xo
where xo is a given constant with the dimension of length.
a) Plot this function in the dimensionless variables and find the constant A.
b) Present the normalized wave function in the dimensional variables.
Hint: introduce the dimensionless variables = x/xo and Y(5) = Y(5)/A.
At time T energy measurement is carried out on One Hundred identical harmonic
ocillator systems with angular frequency w. It is found that measurements on 36
systems give energy 0.5ho, measurements on 49 systems give energy 1.5ho and
measurements on 15 systems give energy 2.5ho The wavefunction of any of these
systems at time time t < T (before measurement) is given by
Select one:
O a. y(x,t) = e-0.501 (0.60o – 0.7ie-io1 þ1 + 0.0.39ie-2iot p2)
,-iot
O b. y(x,t) = 0.6o – 0.7ie¬io! 41 + 0.39ie-2iot b.
О с. у(х, t) %3D 0.36фо + 0.49е-ion ф + 0.15е-2io1 ф,
"(0.360o + 0.49e d1 + 0.15e-2iot p2)
,-iot
O d. y(x, t) = e-0.5@t
O e. y(x,t) = e0.S@t (0.6P0 – 0.7ieio þ1 + 0.39ie2iot p2)
The expectation value of a system at time t is given by
Select one:
a.
0.86ho
O b. 3.11hw
О с.
0.48ho
O d. 2.33ħo
е.
1.29ha
A particle moving in one dimension has the wave function
Y(x,t) = Aeli(ax-bt)]
%3D
where a and b are constants. What is the potential field V(x) in which the particle is moving?
Chapter 6 Solutions
Modern Physics
Ch. 6 - Prob. 1CQCh. 6 - Prob. 2CQCh. 6 - Prob. 3CQCh. 6 - Prob. 4CQCh. 6 - Prob. 5CQCh. 6 - Prob. 6CQCh. 6 - Prob. 7CQCh. 6 - Prob. 8CQCh. 6 - Prob. 9CQCh. 6 - Prob. 10CQ
Ch. 6 - The diagram below plots (k) versus wave number for...Ch. 6 - Prob. 12CQCh. 6 - Prob. 13ECh. 6 - Prob. 14ECh. 6 - Prob. 15ECh. 6 - Prob. 16ECh. 6 - Prob. 17ECh. 6 - Prob. 18ECh. 6 - Prob. 19ECh. 6 - Prob. 20ECh. 6 - Prob. 21ECh. 6 - Prob. 22ECh. 6 - Prob. 23ECh. 6 - Prob. 24ECh. 6 - Prob. 25ECh. 6 - Prob. 26ECh. 6 - Prob. 27ECh. 6 - Prob. 28ECh. 6 - Obtain the smoothness conditions at the...Ch. 6 - Prob. 30ECh. 6 - Prob. 31ECh. 6 - Jump to Jupiter The gravitational potential energy...Ch. 6 - Prob. 33ECh. 6 - Obtain equation (618) from (616) and (617).Ch. 6 - Prob. 35ECh. 6 - Prob. 36ECh. 6 - Prob. 37ECh. 6 - Prob. 38ECh. 6 - Prob. 39ECh. 6 - Prob. 40ECh. 6 - Prob. 41ECh. 6 - Prob. 42ECh. 6 - Prob. 43ECh. 6 - Prob. 44ECh. 6 - Prob. 45ECh. 6 - Prob. 46ECh. 6 - Prob. 47ECh. 6 - Prob. 48ECh. 6 - Prob. 49ECh. 6 - Prob. 50ECh. 6 - Prob. 51CECh. 6 - Prob. 52CECh. 6 - Prob. 53CECh. 6 - Prob. 54CECh. 6 - Prob. 56CE
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