Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Question
Chapter 6.2, Problem 6.7P
(a)
To determine
Show that the transition operator can be written as
(b)
To determine
Show that the total momentum is conserved for the system.
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For a one-dimensional system with the HamiltonianH = p2/2 − 1 / (2 q2),show that there is a constant of the motionD = pq / 2 − Ht.
The Hamiltonian of a particle having mass m in one dimension is described by
= H
2m 2
p²1,
+÷mox² +2µx. What is the difference between the energies of the first two
levels?
2µ?
(а) ћо-
mo?
(b) ħo+µ
(с) ћо
(d) ħo+.
The Hamiltonian of a three-level
system is represented by the matrix
Vo
21
H = 0
2Vo + 1
22
3V.
where Vo and A are constants with
units of energy (A<< Vo). The
correction to the energy level E1=Vo (to
second order in A) is:
-21/V
O 212/Vo
O 21/Vo
o -212/Vo
zero
Chapter 6 Solutions
Introduction To Quantum Mechanics
Ch. 6.1 - Prob. 6.1PCh. 6.2 - Prob. 6.2PCh. 6.2 - Prob. 6.3PCh. 6.2 - Prob. 6.4PCh. 6.2 - Prob. 6.5PCh. 6.2 - Prob. 6.7PCh. 6.4 - Prob. 6.8PCh. 6.4 - Prob. 6.9PCh. 6.4 - Prob. 6.10PCh. 6.4 - Prob. 6.11P
Ch. 6.4 - Prob. 6.12PCh. 6.4 - Prob. 6.13PCh. 6.5 - Prob. 6.14PCh. 6.5 - Prob. 6.15PCh. 6.5 - Prob. 6.16PCh. 6.5 - Prob. 6.17PCh. 6.6 - Prob. 6.18PCh. 6.6 - Prob. 6.19PCh. 6.7 - Prob. 6.20PCh. 6.7 - Prob. 6.21PCh. 6.7 - Prob. 6.22PCh. 6.7 - Prob. 6.23PCh. 6.7 - Prob. 6.25PCh. 6.8 - Prob. 6.26PCh. 6.8 - Prob. 6.27PCh. 6.8 - Prob. 6.28PCh. 6.8 - Prob. 6.30PCh. 6 - Prob. 6.31PCh. 6 - Prob. 6.32PCh. 6 - Prob. 6.34PCh. 6 - Prob. 6.35PCh. 6 - Prob. 6.36PCh. 6 - Prob. 6.37P
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