SI Units, Identities and Constants
length: m
mass: kg
time: s
velocity : m/s
acceleration: m/s2
Force: Newton = kgm/s2
2 2
Energy: Joule = kgm /s
Power: Watt = J/s
Charge: C = As
E Field: V/m = N/C
B
Physics 2D Quiz #3
Department of Physics, UCSD
Summer Session II - 2010
Prof. Pathria
20 August 2010
Some Useful Data
Speed of light:
c = 2.998 108 m/s
Plancks constant:
h = 6.626 1034 J s
Coulomb con
Physics 2D Quiz #1
Department of Physics, UCSD
Summer Session II - 2010
Prof. Pathria
6 August 2010
Some Useful Data
Speed of light, c = 3 108 m/s.
Lorentz Transformations:
t = (t vx )
c2
t = (t + vx
Physics 2D Quiz #4
Department of Physics, UCSD
Summer Session II - 2010
Prof. Pathria
27 August 2010
Some Useful Data
Speed of light:
c = 2.998 108 m/s
Plancks constant:
h = 6.626 1034 J s
Rest mass o
Physics 2D Quiz #2
Department of Physics, UCSD
Summer Session II - 2010
Prof. Pathria
13 August 2010
Some Useful Data
Speed of light:
c = 3 108 m/s
c = f
Plancks constant:
h = 6.626 1034 J s
Atomic ma
Physics 2D - SS2 2012
Midterm #2
Tuesday, August 28th 3:30pm to 4:50pm
[Note: this is a closed-book exam. No additional notes or calculator are
allowed. The total score of this exam is 80 points. Poin
Physics 2D - SS2 2012
Midterm #1
Tuesday, August 14th 3:30pm to 4:50pm
[Note: this is a closed-book exam. No additional notes or calculator are
allowed. The total score of this exam is 80 points. Poin
Physics 2D - SS2 2012
Final Exam
Saturday, September 8th 3:00pm to 5:59pm
[Note: this is a closed-book exam. No additional notes or calculator are
allowed. The total score of this exam is 160 points.]
Homework Set 2
The homework problems have been broken up according to which lecture they are associated with. Feel
free to do them at any time or in any order though. The earlier you start the homewor
Homework Set 1
The homework problems have been broken up according to which lecture they are associated with. Feel
free to do them at any time or in any order though. The earlier you start the homewor
Errata
(5.19) The work is correct, but the nal answer is o by a factor of 2. The answer
should 45.5 fm not 91 fm.
(6.5) In part A, the potential energy should contain 2x2 /L2 3 in parenthesis instead
Homework Set 1 Solutions
Lecture 1 Problem:
Assume that visible light of wavelength 400 nm was used in a Michelson-Morley experiment, and the
apparatus is capable of measuring differences in paths of
Review Part 1!
Chapters 1-4
Announcements
Final is June 15, Friday at 11:30 am
The location will be in York 2722
You are allowed a full page (front back) for a
cheat sheet.
Doodle Survey (posted o
Lecture 28
The Hydrogen Atom
Research Experience as an
Undergraduate
Students who do undergraduate research are more likely to go on to
graduate school, and on average become productive researchers in
Lecture 25
The Hydrogen Atom! For real!
Last Time
Math overload! (Quick Review?)
3D 3D in spherical coordinates!
r is the radius
is the
inclination
is the azimuth
Time Independent
Schrdinger
(r,t
Lecture 24
3D-QM
Last Time
Extended our 1-D model to 3-D
x
(r, t ) = (r ) ( t ) = (r )e it
Schrodingers eq:
Time independent
Schrodinger:
Particle in a 3D box
Particle in a 3D box
Solutions will b
Lecture 23
Step Function, 3-D!
Last Time
I = Ae ikx + Be ikx
Quantum Tunneling
III = Fe ikx
The Step Potential
I
II
A free particle with E<U incident upon the potential step
Region I (U=0) Free
Lecture 22
Quantum Tunneling
Last Time
Expectation Values:
Position:
(Average position)
< x >=
x ( x, t)
2
dx
Momentum:
(Average momentum) < p >=
using the momentum operator:
[ p] =
i x
* i
Lecture 21
Expectation Values, Operators,
Uncertainty
Last Time
Quantum Oscillator
When a particle is acted on by a spring-like force where
F=-kx representative of a stable equilibrium
U=1/2Kx2 an
Lecture 19
QM in 1-D: Finite Square Well,
Quantum Oscillator,
Expectation Values
Last Time
Particle in a box (Innite Well Problem)
(x)=0
=Asinkx+Bcoskx
(x)=0
Finding a Wavefunction
Guidelines:
1. De
Lecture 18
QM in 1-D: Particle in a box &
Finite Square Well
From Last Time
Can pick up quizzes at Discussion Section and
Problem Session if you did not get it last time.
Wave function, (x,t)
All p
Lecture 17
QM in 1-D
Quiz 2 Results!
Average = 6.59
25
20
15
Series1
10
5
0
1
2
3
4
5
6
7
8
9
10
Last Time
Heisenberg Uncertainty Principle:
px x /2
E t /2
The precision with which we can know the
Lecture 16
Matter Waves, Heisenberg
Uncertainty Principle
Announcements
Quiz #3 in one week!
Covers chapters 4 and 5
Class Cancelled May 14th
Last Time
Goal: Describe a particle as a
pulse or a wa
Lecture 15
More Matter Waves!
Last Time
De Broglies PhD thesis:
Matter has wave-like properties
Matter has a pilot-wave that steers it through
space and time
Electron-Wave Experiments
The Davisson