PHYS 234: Quantum Physics 1 (Fall 2008)
Assignment 5
Issued: October 10, 2008
Due: 12.00pm, October 17, 2008
1. Consider source atoms for a Stern Gerlach measurement which are in the state described by
1
=
6
1+i
2
(a) Calculate the respective probabilitie
Physics 202H - Introductory Quantum Physics I Homework #03 - Solutions Fall 2004 Due 5:01 PM, Monday 2004/10/04
[45 points total] Journal questions. Briey share your thoughts on the following questions: Considering your entire history as a student, what c
PHYS234 Quantum Physics 1 (Spring 2014)
Assignment 5
Issued: June 5th, 2014
Due: noon, June 12th, 2014
1. Consider source atoms for a Stern Gerlach measurement which are in the state described by
1
=
6
1+i
2
with respect to the z-basis cfw_ z , z
Note: t
PH425 Spins Homework 2
Due 1/17/14
PRACTICE:
1. Quiz
1
A beam of spin- 2 particles is prepared in the state:
2
3
| = |+ + i |
13
13
(a) What are the possible results of a measurement of the spin component Sz , and
with what probabilities would they occur?
PHYS234: Quantum Physics 1 (Spring 2014)
Assignment 4
Issued: May 29, 2014
Due: noon, June 5, 2014
1. Tutorial: From the tutorial on Quantum State Tomography, write up your computation for determining the quantum state of the source unknown 4 written as a
Solution set 2: Compton scattering
Compton scattering
1. Show that a photon cannot transfer all of its energy to a free electron.
(Hint: Energy and momentum must be conserved.)
Answer
The conservation of linear momentum implies,
h
= pe ,
(1)
whre pe is th
PHYS234: Quantum Physics 1 (Spring 2014)
Tutorial 6 - Expectation Value 4 ways
The goal of this tutorial activity is to demonstrate four equivalent ways to compute an expectation value for
a measurement on a pure state. Relevant aspects of the mathematica
PHYS234: Quantum Physics 1 (Spring 2014)
Tutorial 5 - Quantum Zeno Effect
(adapted from Lectures on Quantum Mechanics Basic Matters by Berthold-Georg Englert)
The goal of this tutorial is to demonstrate a direct physical consequence of the quantum mechani
Introduc)on to the formalism and
structure of Quantum Mechanics
Angular Momentum and Spin
Stern-Gerlach Experiment
Quantum State Vectors
Compu)ng Probabili)es
Operators and Measurement
Stern-Gerlach Apparatus
z
y
x
Classic
Quantum interference experiments with large molecules
Olaf Nairz,a) Markus Arndt, and Anton Zeilingerb)
Institut fur Experimentalphysik, Universitat Wien, Boltzmanngasse 5, A-1090 Wien, Austria
Received 27 June 2002; accepted 30 October 2002 Waveparticle
PHYS234: Quantum Physics 1 (Spring 2014)
Tutorial 2 - Quantum State Tomography
(adapted from SPINS 2 lab developed at Oregon State University)
The goal of this tutorial activity is to use the probabilities for the outcomes of measurements of the spin
comp
PHYS234 Quantum Physics 1 (Spring 2014)
Assignment 1
Issued: May 8, 2014
Due: noon, May 15, 2014
1. Read the handout on the Photoelectric effect and the Compton Effect that is posted on the LEARN
website. Briey describe (in your own words) two aspects of
PHYS234 Quantum Physics 1 (Spring 2014)
Assignment 1 Solutions
Issued: May 8, 2014
Due: noon, May 15, 2014
1. Read the handout on the Photoelectric effect and the Compton Effect that is posted on the LEARN
website. Briey describe (in your own words) two a
PHYS234: Quantum Physics 1 (Spring 2014)
Assignment 3
Issued: May 22, 2014
Due: noon, May 29, 2014
1. Complex Numbers: Express the following complex numbers as r(cos + i sin ) and rei . For each
complex number, draw a diagram in the complex plane to justi
PHYS234 Quantum Physics 1 (Spring 2014)
Assignment 2
Issued: May 15, 2014
Due: noon, May 22, 2014
1. Read the hand-out on the Davisson and Germer Experiment posted on LEARN. Explain what are the
relevant length-scales involved in this experiment that allo
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Tun. [Mb M mMsJ and w-[kojnul (alums; W
.3 ML; W mt, but. Mag-£6. 4h.)
MWMMF3= amp 2 J. u 6} 6:)
=0 5} Us
(11¢
2.1 Given the following information:
all). = £23m. syli). = 413:),-
Ii). = #H) i |)] Ir). = #IH : i|)]
nd the matrix representations of SI and S). in the SZ basis.
2.2 From the previous problem we know that the matrix representation of St in the S z ba
Quantum Mechanics: A Paradigms Approach
David H. McIntyre
10 January 2014
Corrections to the 1st printing
page xxi, last paragraph before "The End", 2nd line: Change "become" to "became".
page 31, Problem 1.9, first line: Change "A pair of dice" to "Two d
PHYS 234: Quantum Physics 1 (Fall 2008)
Assignment 6 Solutions
Issued: October 17, 2008
Due: 12.00pm, October 24, 2008
1. Given a mixture of atoms where 20% are in the state x , 75% are in the state y and the rest
are in the state z , what is the statisti