BLACKBODY RADIATION
I. Homework
You may find it useful to refer to Section 20-4 of Tipler, posted under "pre-Class Reading" (Lect 1).
Four different rooms with no external sources of light are described below. Assume each bar of iron
is identical. You may
PHYS 225
Winter 2016
Homework #6 (Due in class Friday, March 13)
Explain your reasoning and show your work on all problems
The first two problems (which includes McIntyre 5.11) are (at least to begin with) for an infinite
x0
0 x L , with energy eigenstat
PHYS 225
Summer 2015
Homework #4 SOLUTION (Due in class Friday, July 31)
1. Let s be the number of spots observed on the top of a single die thrown at
random. (a) How many states are possible? What is the probability of obtaining
each state? (b) Calculate
PHYS 225
Summer 2015
Homework #5 (Due in class Wednesday, August 12)
Explain your reasoning and show your work on all problems
1. Given this wave function for a particle in position space:
for x a
0,
( x) A a 2 x 2 , for a x a
for x a
0,
(a) Determine t
PHYS 225
Winter 2016
Homework #2 (Due in class Friday, January 22)
SOLUTION
Problems from McIntyre, Chapter 1:
1. Problem 1.10
a) The probabilities for state 1 are
P1, 1
2
4
5
i 53
2
P1, 1
2
4
5
i 53
2
i 53
1
2
x
P1, x
2
x
1
P1, y
1
2
y
P1,
PHYS 225
Winter 2015
Homework #4 SOLUTION (Due in class Friday, February 20)
1. Let s be the number of spots observed on the top of a single die thrown at
random. (a) How many states are possible? What is the probability of obtaining
each state? (b) Calcu
BLACKBODY RADIATION
I.
Homework
You may refer to Section 20-4 of Tipler, posted under "pre-Class Reading" (Lect 1).
Four different rooms with no external sources of light are described below. Assume each
bar of iron is identical. You may find it helpful t
QUANTUM CRYPTOGRAPHY: HANDOUT I
QM
1
Alice sends
0 Z
1.
2.
0 Z
1Z
1X
0 X
0 Z
1X
1Z
1Z
0 X
0 X
X
X
X
Z
X
Z
Z
X
Z
X
Z
X
Basis Alice sent:
( Z or X )
3.
0 X
Element of Alices
key: ( 0 or 1 )
4.
Basis Bob
measures:
5.
Possible States
after Bobs
measurement:
6
PHYS 225 Final Exam Cheat Sheet page 1
Photon Polarization States: Basis: x , y ,
General Linear Pol. State: cos x sin y
Circular Basis States (Right and Left Circular): R
1
2
x
i y ,
L
1
2
x
i y
Euler Formula: ei cos i sin
1.055 1034 J s 6.582 1016
Polarization of Light
I. Classical Description:
Light is an electromagnetic wave consisting of electric and magnetic fields that are mutually
perpendicular and both perpendicular to the direction of motion of the light.
Lets assume a plane wave propagatin
Physics
225
Lecture 19:
Infinite Square Well Wave Functions
Final Exam 9:40 am Weds & Fri Aug 19 & 21
Cheat Sheet Attached as Usual
Some Multiple Choice Each Day, Bring Scantrons!
No Use of Cell Phone, Graphic / Storage Capability
You Can Skip Half B
QUANTUM CRYPTOGRAPHY: HANDOUT 2
QM
1
0 Z
0 X
0 Z
1Z
1X
0 X
0 Z
1X
1Z
1Z
0 X
0 X
Basis Alice sent:
Z
X
Z
Z
X
X
Z
X
Z
Z
X
X
Element of Alices
key:
0
0
0
1
1
0
0
1
1
1
0
0
Basis Eve
measures:
X
Z
Z
X
X
Z
X
Z
X
X
Z
X
X
X
X
Z
X
Z
Z
X
Z
X
Z
X
Alice sends
State
Quantum Mechanics 225
Mid Term Examination 2009 SOLUTIONS
Name (Please Print):
Total Points: 100
Savage
(last)
(rst)
You should attempt all questions. There is a total of 100 points.
Problem 1
Problem 2
Problem 3
:
:
:
1
25 Points
40 Points
35 Points
Mid
1x01-Part01: The Innite Square Well
1x01-Part02: Problem 2.3
1x01-Part03: Some trajectories of a particle in a box
according to Newton's laws of classical mechanics (A),
and according to the Schr?dinger equation of
quantum mechanics (B-F). (From wikipedia
Name (print): _SOLUTION - post_
Signature: _
Student ID: _
Exam 1
Physics 225
Wednesday, January 28, 2015
This is a closed book exam. One sheet of notes (my version) is provided. Use the space
beneath each problem statement to answer; should you need extr
Name (print): _SOLUTION_
Signature: _
Student ID: _
Exam 2
Phys 225
Monday, February 23, 2015
This is a closed book exam. One sheet of notes is attached (you may tear it off). Use the
space beneath each problem statement to answer; should you need extra r
PHYS 225 Exam 1 Cheat Sheet
Classical Magnetic Dipoles in a B Field: B
U B
Fz z
Bz
z
Quantum Spin- Components: S x or S y or S z , 1.055 1034 J s 6.582 1016 eV s
2
Spin z Orthonormal Basis:
Euler Formula: ei cos i sin
z
in book ,
z
in book , 1,
CLASSICAL AND QUANTUM SPIN
I.
QM
1
Review of magnets
A. A bar magnet is placed in the uniform magnetic field shown at
right.
1. Draw a vector indicating the direction of the magnetic
dipole moment of the magnet.
N
1
2. Determine the direction of the net f
Physics
225
Lecture 20:
Superposition in Infinite Well
Worksheet Today, Leave Row E Empty
Check Your Catalyst Grades & Complain Now
Final Exam 9:40 am Weds & Friday
Includes Cheat Sheet
Bring Scantron Each Day!
No Use of Cell Phone, Graphic / Storag
Physics
225
Lecture 21:
Finite Square Wells to Free Particles
Final Exam Wednesday & Friday in Class
Cheat Sheet Included
Multiple Choice, Bring Scantron!
No Use of Cell Phone, Graphic / Storage Capability
HW 6 Due Monday in Class
Finish Up and Revi
BLACKBODY RADIATION
I. Homework
You may find it useful to refer to Section 20-4 of Tipler, posted under "pre-Class Reading" (Lect 1).
Four different rooms with no external sources of light are described below. Assume each bar of iron
is identical. You may
225 sum 15 HW 3 QU-COMP Solutions
1. For the state 53 0 54 1 :
a. What is the probability that a measurement in the computational basis results in
1 ?
Probability is 1
2
4
5
11
2
16
25
b. What is the probability that a measurement in the X basis (the Sx
PHYS 225
Summer 2015
Homework #2 (Due in class Friday, July 10)
SOLUTION
Problems from McIntyre, Chapter 1:
1. Problem 1.10
a) The probabilities for state 1 are
P1, 1
2
4
5
i 53
2
P1, 1
2
4
5
i 53
2
i 53
1
2
x
P1, x
2
x
1
P1, y
1
2
y
P1, y
Physics
225
Lecture 22:
Free Particle & Review
HW 6 Due Now
Final Exam (Wednesday & Friday)
Topics & Cheat Sheet Posted
Bring Scantron Each Day for Multiple Choice
My Office Hours This Week:
After Class Today, 10:50-11:50
By Appointment on Tuesday
PHYS 225
Summer 2015
Homework #6 (Due in class Monday, August 17)
Explain your reasoning and show your work on all problems
All problems EXCEPT the last two (McIntyre 5.17 & 6.2) are for an infinite square well
x0
0 x L , with energy eigenstates labeled
Name (print): _
Signature: _
Student ID: _
Exam 1
Physics 225
Monday, July 13, 2015
This is a closed book exam. One sheet of notes (my version) is provided. Use the space beneath
each problem statement to answer; should you need extra room, please use the
Name (print): _SOLUTION_
Signature: _
Student ID: _
Exam 1
Physics 225
Monday, July 13, 2015
This is a closed book exam. One sheet of notes (my version) is provided. Use the space beneath
each problem statement to answer; should you need extra room, pleas
QUANTUM CRYPTOGRAPHY
QM
1
I. Quantum Key Distribution (QKD)
There are several protocols that will enable two parties to distribute a secure, private key using
the principles of quantum mechanics. The protocol discussed below is called the BB84 protocol
af
Name (print): _SOLUTION_
Signature: _
Student ID: _
Exam 2
Phys 225
Monday, August 3, 2015
This is a closed book exam. One sheet of notes is attached (you may tear it off). Use the
space beneath each problem statement to answer; should you need extra room
HANDOUT: TWO-STATE TIME DEPENDENCE
Fill out the chart below using answers you provided on the tutorial.
For states starting in the
Does the probability
depend on time?
x
state
Write an expression for
the probability
For particles starting in the z state
Physics 226
Assignment #4
Due Thursday, April 27th, 2017
This HW comes during the exam week, so I expect you will be busy. The first three problems
will not be graded and I have already published their solutions. You are welcome to think about
these and l
Name:
Student ID:
PHYS 225 Exam 1
January 25, 2017
PUT YOUR NAME AND STUDENT ID ON ALL PAGES RIGHT NOW. You must
show all work for full credit. Fit your answers within the spaces provided. You have
50 minutes to complete this exam.
1. An ensemble of class
Physics
225
March 8 Lecture:
Free Particle & Overview
My Name is Daryl Pedigo ([email protected])
Jason Detwiler Asked Me to Substitute Today
Most of Today Explores the Quantum
Mechanical Free Particle
Then at the End We Review a Select Few Major
Issues Unc
The Hydrogen Atom
1
Summary
The potential for the hydrogen atom is, of course, three-dimensional, and so the
solutions to the Schrodinger equation that represents the hydrogen atom will
be functions of three variables; they will be (r, , ). The solutions