Supplemental Material for Phys 401

Supplementary Materials for Phys 401

Lecture 1
- Review of Cartesian, Cylindrical and Spherical coordinate systems by Dan Fleisch.
- Blackbody radiation spectrum
- Planck distribution function
- History of the Planck distribution function
- Why did Planck take E = h nu and not some other dependence?
- The Photoelectric Effect Wiki article
- Heinrich Hertz and KIT, Germany
- Translation of Einstein's 1905 paper on the photoelectric effect
- X-ray Emission
- The Bragg diffraction condition
- X-ray Crystallography
- Compton scattering on wikipedia
- Compton's description of his inelastic x-ray scatering measurements
- Derivation of Compton's equation for inelastic light scattering
- Critique of the Bohr model
- Review of Quantum Physics in Phys 371
- Lecture 1 Hand-written Notes
- Recording of Lecture 1
- Lecture 1 summary
Lecture 2
- Atomic Spectroscopy
- Moseley's Law of X-ray emission
- Davisson-Germer experiment on electron difraction
- Prof. Jay Sau's slides on deBroglie waves and more slides on waves in general
- Lecture 2 Hand-written Notes
- Recording of Lecture 2
- Lecture 2 Highlights
Lecture 3
- Two-slit interference
- Video of single electrons building up a two-slit interference pattern
- An experimental test of Born's rule that QM should be linear in the wavefunction
- Prof. Jay Sau's slides on quantum mechanics
- Lecture 3 Hand-written Notes
- Recording of Lecture 3
- Lecture 3 Highlights
Lecture 4
- Wave Packet demo in Mathematica
- Gaussian Wave Packet Evolution demo in Mathematica
- Uncertainty Principle slides
- Lecture 4 Hand-written Notes
- Recording of Lecture 4
- Lecture 4 Highlights
Lecture 5
- Lecture 5 slides
- Lecture 5 Hand-written Notes
- Recording of Lecture 5
- Lecture 5 highlights
Lecture 6
- Infinite and finite square well potentials
- Lecture 6 slides
- Lecture 6 Hand-written Notes
- Recording of Lecture 6
- Lecture 6 highlights
Lecture 7
- Solutions to the Schrodinger equation for the Harmonic Oscillator
- Schrodinger's trick for the harmonic oscillator (basically he discovered the lowering operator a_-)
- Lecture 7 Hand-written Notes
- Recording of Lecture 7
- Lecture 7 highlights
Lecture 8
- Maryland pride!
- Lecture 8 Hand-written Notes
- Recording of Lecture 8
- Lecture 8 highlights
Lecture 9
- Lecture 9 Hand-written Notes
- Recording of Lecture 9
- Lecture 9 highlights
Lecture 10
- Quantum wave packet animation
- The Quantum Free Particle
- Free particle evolution from an initial exponential wave function
- A plausibility argument for the Uncertainty Principle
- Lecture 10 Hand-written Notes
- Recording of Lecture 10
- Lecture 10 highlights
Lecture 11
- Superposition and Conservation of Energy
- Lecture 11 Hand-written Notes
- Recording of Lecture 11
- Lecture 11 highlights
Lecture 12
- Time-reversed propagation of water waves due to an impulsive change of the medium
- Lecture 12 Hand-written Notes
- Recording of Lecture 12
- Lecture 12 highlights
Lecture 13
- The Scattering matrix for microwave networks
- Graphical solution to the finite square well problem
- Finite square well graphical solution
- Finite square well wavefunctions
- Lecture 13 Hand-written Notes
- Recording of Lecture 13
- Lecture 13 highlights
Lecture 14
- Scattering from a Finite square well
- The Ramsauer-Townsend effect
- Lecture 14 Hand-written Notes
- Recording of Lecture 14
- Lecture 14 highlights
Lecture 15
- Tunneling slides
- Tunneling Wavepacket animation By Becarlson - Own work, CC BY-SA 4.0
- Tunnel Diodes
- Review for Exam 1
- Lecture 15 Hand-written Notes
- Recording of Lecture 15
- Lecture 15 highlights
Lecture 16
- EXAM #1
- Exam 1 first 3 pages
- Exam 1 Results
Lecture 17

Hilbert Space
The Wiki page on Hilbert Space is pretty helpful
Vector spaces and Hilbert Space
Lecture 17 Hand-written Notes
Recording of Lecture 17
Lecture 17 highlights

Lecture 18
- Spectra and Eigenfunctions of various Hamiltonian operators
- Lecture 18 Hand-written Notes
- Recording of Lecture 18
- Lecture 18 highlights
Lecture 19
- Lecture 19 Hand-written Notes
- Recording of Lecture 19
- Lecture 19 highlights
Lecture 20
- Lecture 20 Hand-written Notes
- Recording of Lecture 20
- Lecture 20 highlights
Lecture 21
- Lecture 21 Slides
- Lecture 21 Hand-written Notes
- Recording of Lecture 21
- Lecture 21 highlights
Spring Break
- SPRING BREAK
Lecture 22
- Tunneling Two-Level Systems
- Lecture 22 slides
- Lecture 22 Hand-written notes
- Recording of Lecture 22
- Lecture 22 highlights

Lecture 23
- Notes about the Bloch sphere representation of a two-level quantum system by Prof. Wellstood
- Examples of Two-State Quantum systems
- Lecture 23 slides
- Lecture 23 Hand-written notes
- Recording of Lecture 23
- Lecture 23 highlights
Lecture 24
- Lecture 24 Hand-written notes
- Recording of Lecture 24
- Lecture 24 highlights
Lecture 25
- Transitions between energy states
- Lecture 25 Hand-written notes
- Recording of Lecture 25
- Lecture 25 highlights
Lecture 26

Lecture 27
- Associated Legendre functions on Wikipedia
- Associated Legendre functions polar plots
- Lecture 27 Hand-written notes
- Recording of Lecture 27
- Lecture 27 highlights
Lecture 28
- Spherical Harmonics images
- Some Spherical Harmonic details
- The cosmic microwave background radiation as a function of angle
- A detailed discussion of representing the CMB in terms of an expansion over spherical harmonics.
- Angular Momentum and components
- Lecture 28 Hand-written notes
- Recording of Lecture 28
- Lecture 28 highlights
Lecture 29
- Spherical Bessel Function plots
- Infinite spherical well in Mathematica
- Lecture 29 Hand-written notes
- Recording of Lecture 29
- Lecture 29 highlights
Lecture 30
- Lecture 30 Hand-written notes
- Recording of Lecture 30
- Lecture 30 highlights
Lecture 31

H-Atom Orbitals, another plot, and another plot
Notes on series solutions to differential equations
H-Atom Orbitals
Lecture 31 Hand-written notes
Recording of Lecture 31
Lecture 31 highlights

Lecture 32

H-Atom radial wavefunctions
Hydrogen Orbital Radial Probability Density
Hydrogen atom radial wavefunction sketches
Hydrogen Atom energy levels and transitions
The fine structure splitting of the hydrogen atom
Lecture 32 Hand-written notes
Recording of Lecture 32
Lecture 32 highlights

Lecture 33

Origins of the s p d f nomenclature
Fine-Structure corrected energies of the Hydrogen atom
The Na Doublet
Lecture 33 Hand-written notes
Recording of Lecture 33
Lecture 33 highlights
Review for EXAM 2

Lecture 34

EXAM #2
Exam 2 first five pages
Exam 2 Results

Lecture 35

Lecture 36

The Stern-Gerlach device
A Stern-Gerlach device generating three beams
A Stern-Gerlach device generating two beams
The two-beam postcard sent to Neils Bohr
Download the PhET demonstration on the Stern-Gerlach device
The history of spin
Elementary Particles as Bosons and Fermions
Lecture 36 Hand-written notes
Recording of Lecture 36
Lecture 36 highlights

Lecture 37

Two-level systems and qubits
Stern-Gerlach machine oriented at an arbitrary angle
Lecture 37 Hand-written notes
Recording of Lecture 37
Lecture 37 highlights

Lecture 38

Electron Spin Resonance
Good video by Prof. Rob Schoelkopf (Yale) introducing Quantum Computing
Quantum Computing explained at 5 levels of complexity
Lecture 38 Hand-written notes
Recording of Lecture 38
Lecture 38 highlights

Lecture 39

Lecture 40

The Clebsch-Gordan coefficient table
Clebsch-Gordan coefficients
Example use of the Clebsch-Gordan coefficients for a Hydrogen atom with l = 1 and s = 1/2
Lecture 40 Hand-written notes
Recording of Lecture 40
Lecture 40 highlights

Lecture 41

The Aharonov-Bohm Effect viewgraphs. Physics Today article on the Aharnov-Bohm effect.
Lecture 41 Hand-written notes
Recording of Lecture 41
Lecture 41 highlights

Lecture 42

Lecture 43

Phys 401 Course Review: Lecture 43 highlights
A partial review of Phys 401
Interesting video on interpretations of Quantum Mechanics
Nine key concepts to understand about Quantum Mechanics
The Postulates of Quantum Mechanics
Recording of Lecture 43
Lecture 43 Hand-written notes

Lecture 44

FINAL EXAM (8 AM to 10 AM 15 May, 2021)
Final Exam first six pages
Final Exam results summary