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 3, Problem 3.44P
(a)
To determine
The value of state
(b)
To determine
The value of state
Expert Solution & Answer
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Students have asked these similar questions
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
Consider a physical system whose three-dimensional state
space is spanned by the orthonormal basis formed by the three
kets {|e1>, |e2>, |e3>}. In the basis of these three vectors, taken
in this order, the Hamiltonian H^ and the two operators B^ and
D are defined by:
H = ħwo
3 i 0
i 30
0 02
7
B÷bo -i
i 1- i
1+
6
| (0)) =
7
1+i 1 - i
(e₁] (0))
(€₂ (0))
(€3) (0)
0 0 2α
where wo and bo are constants. Also using this ordered basis,
the initial state of the system is given by:
=
D 0 2α
2a 0 -3a
Suppose that the initial state (0)> was left to evolve until t = 0.
Q: Q: State an uncertainty principle for ABAD. Justify your
answer.
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+.
Chapter 3 Solutions
Introduction To Quantum Mechanics
Ch. 3.1 - Prob. 3.1PCh. 3.1 - Prob. 3.2PCh. 3.2 - Prob. 3.3PCh. 3.2 - Prob. 3.4PCh. 3.2 - Prob. 3.5PCh. 3.2 - Prob. 3.6PCh. 3.3 - Prob. 3.7PCh. 3.3 - Prob. 3.8PCh. 3.3 - Prob. 3.9PCh. 3.3 - Prob. 3.10P
Ch. 3.4 - Prob. 3.11PCh. 3.4 - Prob. 3.12PCh. 3.4 - Prob. 3.13PCh. 3.5 - Prob. 3.14PCh. 3.5 - Prob. 3.15PCh. 3.5 - Prob. 3.16PCh. 3.5 - Prob. 3.17PCh. 3.5 - Prob. 3.18PCh. 3.5 - Prob. 3.19PCh. 3.5 - Prob. 3.20PCh. 3.5 - Prob. 3.21PCh. 3.5 - Prob. 3.22PCh. 3.6 - Prob. 3.23PCh. 3.6 - Prob. 3.24PCh. 3.6 - Prob. 3.25PCh. 3.6 - Prob. 3.26PCh. 3.6 - Prob. 3.27PCh. 3.6 - Prob. 3.28PCh. 3.6 - Prob. 3.29PCh. 3.6 - Prob. 3.30PCh. 3 - Prob. 3.31PCh. 3 - Prob. 3.32PCh. 3 - Prob. 3.33PCh. 3 - Prob. 3.34PCh. 3 - Prob. 3.35PCh. 3 - Prob. 3.36PCh. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - Prob. 3.39PCh. 3 - Prob. 3.40PCh. 3 - Prob. 3.41PCh. 3 - Prob. 3.42PCh. 3 - Prob. 3.43PCh. 3 - Prob. 3.44PCh. 3 - Prob. 3.45PCh. 3 - Prob. 3.47PCh. 3 - Prob. 3.48P
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