PHYS 234: Quantum Physics 1 (Spring 2014)
Assignment 6 Solutions
Issued: June 12, 2014
Due: noon, June 19, 2014
1. Given a mixture of atoms where 20% are in the state
are in the state + z .
x
, 75% are in the state +
y
and the rest
(a) What is the statis
PHYS234 Quantum Physics 1 (Spring 2014)
Assignment 7
Issued: June 19th, 2014
Due: noon, June 26th, 2014
1. Question 3.6 from the textbook. Consider a spin 1/2 particle with a magnetic moment.
(a) At time t = 0 the observable Sx is measured, with the resul
PHYS234: Quantum Physics 1 (Spring 2014)
Assignment 7 Solutions
Issued: June 19th, 2014
Due: noon, June 26th, 2014
1. Question 3.6 from the textbook. Consider a spin 1/2 particle with a magnetic moment.
(a) At time t = 0 the observable Sx is measured, wit
PHYS234 Quantum Physics 1 (Spring 2014)
Assignment 4 Solutions
Issued: May 29, 2014
Due: noon, June 5, 2014
1. Tutorial 4 From Tutorial 4, write up your computation for determining the quantum state of the
source unknown 4 written as a linear combination
Physics
225
Lecture 18:
NMR & Review
HW #4 is Due Now (Semi Alphabetical)
HW #5 Will Be Posted Soon, Due March 4
Exam 2 Monday
Will Include Cheat Sheet as Before
Same Format
No Use of Graphic / Storage Capabilities
Topics & Equations Coming Soon
1
Revi
Physics
225
Lecture 24:
Finite Square Wells
Final Exam Wednesday March 16 8:30 am
Seating Chart to be Posted !
Equation Sheet Included
Mostly Multiple Choice, Bring Scantron!
No Use of Cell Phone, Graphic / Storage Capability
HW 6 Due Friday in Class
F
Physics
225
Lecture 17:
Spin & Time Dependence
HW #4 is Due Friday
Exam 2 Monday
Will Include Equation Sheet as Before
Same Format
No Use of Graphic / Storage Capabilities
Continuing Worksheet from Friday, Pages 3
&4
1
Q1: Which Choice Best Represe
Physics
225
Lecture 25:
Finite Square Wells to Free Particles
Final Exam Wednesday March 16 8:30 am
In This Room, Equation Sheet Included
Lots of Multiple Choice, Bring Scantron!
No Use of Cell Phone, Graphic / Storage Capability
HW 6 Due Friday in Cl
PHYS 225
Winter 2016
Homework #2.5 (Due by 4 pm Monday January 25)
SOLUTION
The original problem 6 of HW 2 on expectation values:
1. What is the expectation value S x for the state
Easiest to convert to matrix notation:
Sx Sx
10
10
3
5
z
i
2
5
z
?
0 1
PHYS 234: Quantum Physics 1 (Spring 2014)
Assignment 8
Issued: July 3, 2014
Due: noon, July 10, 2014
1. Eigenvalue-Eigenvector equations
The wave function for a particle is
(x, t) = sin(kx)[i cos(t/2) + sin(t/2)]
where k and are constants.
a) Is this part
Chapter1BackgroundandHistoryofQuantumPhysics
QingBinLu
Two dark clouds and the birth of
modern physics
Inhisfamousspeechin1900NineteenthCenturyCloudsoverthe
DynamicalTheoryofHeatandLight,LordKelvinidentifiedtwodark
cloudsinClassicalPhysics.:
thefailureof
Physics
225
Lecture 7:
Operators & Measurement
HW #2 Due Friday in Class
We Will Get to All of the HW#2 Topics Today
Exam 1 in Class Wednesday January 27
Covers Material Through Monday January 25
Monday is Mostly Review, with Polarization as a
Classi
Physics
225
Lecture 8:
Uncertainty & Vector Model of Spin
HW #2 Due Now (Except Problem 6)
HW #2.5 Due Monday, 4 pm, C138 (2 Problems)
Exam 1 in Class Wednesday January 27
Covers Material Through Monday January 25
Monday is Review & Extension to Pola
Name (print): _SOLUTION_
Signature: _
Student ID: _
Exam 1
Physics 225
Wednesday January 27, 2016
This is a closed book exam. One sheet of equations (my version) is provided as the final
page of this exam. Use the space beneath each problem statement to a
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
PHYS 234: Quantum Physics 1 (Spring 2014)
Assignment 10
Issued: July 17, 2014 (updated July 21, 2014)
Due: noon, July 25, 2014
1. Time dependence of a superposition state
A particle in the innite square well has as its initial wave function an even mixtur
PHYS 234: Quantum Physics 1 (Spring 2014)
Assignment 9
Issued: July 10, 2013
Due: noon, July 17, 2013
1. Two possible eigenfunctions for a particle moving freely in a region of length a, but strictly conned
to that region, are shown in the gure below. Whe
PHYS 234: Quantum Physics 1 (Spring 2014)
Assignment 8 Solutions
Issued: July 3, 2014
Due: noon, July 10, 2014
1. Eigenvalue-Eigenvector equations
The wave function for a particle is
(x, t) = sin(kx)[i cos(t/2) + sin(t/2)]
where k and are constants.
a) Is
PHYS 234: Quantum Physics 1 (Spring 2014)
Assignment 9
Issued: July 10, 2013
Due: noon, July 17, 2013
1. Two possible eigenfunctions for a particle moving freely in a region of length a, but strictly conned
to that region, are shown in the gure below. Whe
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
PHYS234 Quantum Physics 1 (Spring 2014)
Assignment 2 Solutions
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
PHYS234: Quantum Physics 1 (Spring 2014)
Assignment 3 Solutions
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 plan
PHYS234 Quantum Physics 1 (Spring 2014)
Assignment 5 Solutions
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 ,
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