Solution
Physics 214 Problem 2 Digital Camera Week 3
A modern digital camera looks basically something like this: Photosensor: Aperture, D = 3 mm Photosensor lens Pixel 7 mm
5 mm
Focal length, f = 10 mm
a. Assuming diffraction-limited optics, calculate th
"We choose to examine a phenomenon which is impossible, absolutely impossible, to explain in any classical way, and which has in it the heart of quantum mechanics. In reality, it contains the only mystery." -Richard P. Feynman
Introduction to Quantum Mech
"`Quantum mechanics' is the description of the behavior of matter and light in all its details and, in particular, of the happenings on an atomic scale. Things on a very small scale behave like nothing that you have any direct experience about. They do no
Introduction to Quantum Mechanics
This week
(and the previous week)
are critical for the course
Midterm Exam Monday, Feb. 11 - will cover Lectures 1-7 and qualitative aspects of lecture 8
Week 4 Lect. 7,8: Schrdinger Equation - Definite predictions of q
Introduction to Quantum Mechanics
This week
(and the previous week)
are critical for the course
Midterm Exam Monday, Feb. 11 - will cover Lectures 1-7 and qualitative aspects of lecture 8
Week 4 Lect. 7,8: Schrdinger Equation - Definite predictions of q
"But why must I treat the measuring device classically? What will happen to me if I don't?" -Eugene Wigner "When I hear of Schrdinger's cat, I reach for my gun." -Stephen W. Hawking "There is obviously no such limitation I can measure the energy and look
"A vast time bubble has been projected into the future to the precise moment of the end of the universe. This is, of course, impossible." -D. Adams, The Hitchhiker's Guide to
the Galaxy
"There is light at the end of the tunnel." - proverb "The light at th
"It was almost as incredible as if you fired a 15-inch shell at a piece of tissue paper, and it came back to hit you!" -E. Rutherford (on the `discovery' of the nucleus)
Overview of the rest of the course Up to now general properties and equations of quan
"Anyone who can contemplate quantum mechanics without getting dizzy hasn't understood it." -Niels Bohr
Overview of the rest of the course Up to now general properties and equations of quantum mechanics
Time-dependent and time-independent Schr. Eqs. Eigens
Last week of Course
Today - Atoms, Molecules, Solids
States with many electrons filled according to the Pauli exclusion principle
Next time Consequences of quantum mechnanics
Metals, insulators, semiconductors, superconductors, lasers, . .
Final Exam Mond
Last week of Course
Today Consequences of quantum mechanics
Metals, insulators, semiconductors, superconductors, lasers, . . . can be understood ONLY with quantum mechanics!
Final Exam: Monday March 3 Review session: Sunday March 2 3-5pm Lincoln Hall Thea
Physics 214
Waves and
Quantum Physics
Welcome to Physics 214
Content: Waves and Quantum Physics
Format: Active Learning (Learn from Participation)
Textbook Young and Freedman - Assignments on Syllabus page Lectures (presentations, demonstrations, & ACTs)
Physics 213 . Lecture 2
Ideal Gases: Energy, Work and Heat
Topics
increasing T
First Law of Thermodynamics - internal energy - work and heat
Volume
Pressure
Thermal reservoir
References for Lecture 3 and 4: Elements Ch 3,4A-C and 5
Physics 213: Lecture 2,
Diffraction & Spectroscopy
y
d
L
Spectra of atoms reveal the quantum nature of matter
Diffraction image of DNA taken by Rosalind Franklin in 1953 the first evidence of the helical structure of DNA
Overview
Multiple-slit Interference formula* Diffraction G
Applications of Interference and Diffraction:
I0 I0.5 0 2I0
=2c
I0 I 0 2I0
=c
I0 I 0 2I0
=c/3
Sum
0
Sum y
0
Sum y
0
y
Overview
Circular Diffraction (foreshadowing of quantum uncertainty)
Angular resolution (Rayleigh's criterion) Minimum spot size
Interfer
Lecture 2: Interference
P
y
S3
d
S2
S1
2
Incident wave (wavelength )
L
Overview: Interference of Sound waves Two-Slit Interference of Light Phasors Multiple-Slit Interference
Interference of Waves (from last lecture):
When two waves are pre
Physics 214
Waves and Quantum Physics
Welcome to Physics 214
Content: Waves and Quantum Physics
Format: Active Learning (Learn from Participation)
Textbook Young and Freedman - Assignments on Syllabus page Lectures (presentations, demonstrations,
Anyone who can contemplate quantum mechanics without getting dizzy hasnt understood it. -Niels Bohr
Particles in 3D Potentials and the Hydrogen Atom
( x, y, z) = ( x) ( y) ( z)
z L
1
1 r / ao (r )= e 3 ao
r = a0
5
L L
x
P(r)
0
0
r
4a0
En
z |Y00|
Angular Momentum, Atomic States, & the Pauli Principle
z |Y11|
|Y10|
1
z |Y20|
0
|Y21|
|Y22|
1
2
Overview
Schrdingers Equation for the Hydrogen Atom
Radial wave functions Angular wave functions
Angular Momentum
Quantization of Lz an
This isn't right. This isn't even wrong. - Wolfgang Pauli
It was absolutely marvelous working for Pauli. You could ask him anything. There was no worry that he would think a particular question was stupid, since he thought all questions were stupid.
[Debye said to Schrdinger in 1925 that]to deal properly with waves, one had to have a wave equation. It sounded quite trivial and did not seem to make a great impression, but Schrdinger evidently thought a bit more about the idea afterwards. Just a f
Schrdingers Equation and the Particle in a Box
(x) U= n=1 n=3 U=
0
L n=2
x
Midterm Exam this week will cover topics through Lecture 6, and will include Discussion, Homework and Lab topics through HW 3.
Important new material will be covered in D
Labs next week NOTE: You will need your Active Directory Login {www.ad.uiuc.edu} Note: You can save a lot of time by reading the lab ahead of time its a tutorial on how to draw wavefunctions.
Particles in Finite Potential Wells
U(x)
(x)
U0
U U
n
Labs will be in room 257 (2nd floor) this week. Need AD sign-on.
See supplementary notes at end of this lecture to try to get big picture for QM See website for link to new formula sheet, through this week. http:/www.falstad.com/qm1d/
Superposition
Spring 2007 Physics 214 Midterm Exam
Page 1 of 9
Spring 2007 Physics 214 Midterm Exam (26 questions)
The grading button and a description of the scoring criteria are at the bottom of this page. Basic questions are marked by a single star *. More di
The following questions are designed to give you some practice with concepts covered since the midterm (you should look at old practice midterms for sample problems covering the earlier course material!). Some are specifically designed to be difficul
Introduction to the Physics of Solids: Electrical conduction
U(r) a r
6
5
4
3
2
1
Overview
Energy levels in a solid
Bloch wavefunction Energy Bands
Electrical conductivity and the free-electron model Filling the bands with the Pauli Principle
me
All of modern physics is governed by that magnificent and thoroughly confusing discipline called quantum mechanics.It has survived all tests and there is no reason to believe that there is any flaw in it.We all know how to use it and how to apply it