Appendix D
Solutions to Appendix C problems
Solution to Exercise C.1.
a) We obtain Eq. (C.2) by substituting f (x) = 1 into Eq. (C.1).
b) Make a replacement of the integration variable x a = t. Then dt = dx and
+
+
(C.1)
(x a)f (x)dx =
(t)f (t + a)dt =
University of Calgary
Winter semester 2006
PHYS 443: Quantum Mechanics I
Final examination
April 20, 2006, 12.00-15.00 (3 hours)
Open books. Answer all questions. Calculators permitted but not needed
Total points: 100
Problem 1 (10 pts) A photon polarized
University of Calgary
Winter semester 2011
PHYS 443: Quantum Mechanics I
Final examination
April 27, 2011, 12:00-15:00 (3 hours)
Total points: 100. Open books. No communication equipment allowed. You must solve all
problems in order to receive full credit
Chapter 8
Solutions to chapter 3 problems
Solution to Exercise 3.1.
a) We calculate the right-hand side of Eq. (3.5) using the decomposition (3.3) (we call the integration variable x ):
x| =
+
(3.1)
(x ) x| x dx =
+
(x ) (x x )dx = (x).
(8.1)
The last e
Chapter 9
Solutions to chapter 4 problems
Solution to Exercise 4.7. For example, the x component of the angular momentum is dened
as Lx = y pz z py . The position and momentum observables are Hermitian; in addition, we have
[, pz ] = [, py ] = 0. We can t
University of Calgary
Winter semester 2007
PHYS 443: Quantum Mechanics I
Final examination
April 20, 2006, 12.0015.00 (3 hours)
Open books. Answer all questions. Calculators permitted but not needed.
Total points: 100.
Problem 1 (10 pts). A state of a spi