UW Physics
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Physics 545 Introduction to atomic structure
fall semester 2018
T,Th 8:00-9:15 in 2120 Chamberlin,
Office hours: M 1:30-2:30, W 9:00-10:00, or by appointment, or just stop by.
Final Exam Thursday Dec. 20 7:45 - 9:45 am in Chamberlin 2135
Mark Saffman
Department of Physics office: 5330 Chamberlin
tlf: 265 5601
email: msaffman@wisc.edu
web: hexagon.physics.wisc.edu
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Course catalog description: Nuclear atom; hydrogen atom; Bohr-Sommerfeld model, wave model, electron spin, description of quantum electron spin, description of quantum electrodynamic effects; external fields; many-electron atoms; central field, Pauli principle, multiplets, periodic table, x-ray spectra, vector coupling, systematics of ground states; nuclear effects in atomic spectra. Prerequisites: A course in quantum mechanics or cons inst.Course listing in UW timetable.
The recommended (not required) supplementary textbook is G. K. Woodgate, Elementary atomic structure, Oxford
Several alternative texts are available on course reserves.
books on atomic physics(notes and other materials are only available on the UW computer network)
Syllabus (subject to change) (updated 2018.11.27)
week |
lecture |
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date |
topic |
reading in atomic notes |
recommended reading in Woodgate |
HW out |
HW due |
1 |
1 |
Th |
Sept 6 |
Introduction, Bohr model, atomic units |
ch.1 |
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2 |
2 |
T |
Sept 11 |
Schr. Eq., H atom, degeneracy, orbitals, <r^k>, momentum space wavefunction |
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ch. 1,2 |
1 |
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3 |
Th |
Sept 13 |
periodic table, quantum defects, Coulomb wavefunctions, matrix elements |
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3 |
4 |
T |
Sept 18 |
fine structure in Hydrogen |
ch. 2 |
ch. 4 |
2 |
1 |
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5 |
Th |
Sept 20 |
fine structure in alkalis, alkali doublet anomaly, start angular momentum theory: addition of angular momenta, C-G coefficients |
appendix A |
ch. 9 |
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4 |
6 |
T |
Sept 25 |
continue angular momentum: tensor operators,Lande projection |
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7 |
Th |
Sept 27 |
Wigner-Eckart theorem |
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5 |
8 |
T |
Oct 2 |
Lande projection theorem, reduced matrix elements in coupled basis, strength of H 1s-2p transitions. start hyperfine structure |
ch. 3 |
ch. 5,6,7 |
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2 |
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9 |
Th |
Oct 4 |
hyperfine structure, Lamb shift, muonic Lamb shift and size of proton. Start multielectron atoms. |
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3 |
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6 |
10 |
T |
Oct 9 |
Multielectron atoms, Configurations and terms. Determinantal products, matching terms and determinantal products |
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11 |
Th |
Oct 11 |
term splitting, Slater integrals. Central field approximation. He energy levels, singlet, triplet structure He ground and excited state perturbation theory, direct and exchange integrals, |
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ch. 8 |
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7 |
12 |
T |
Oct 16 |
fine structure in LS coupling, Hunds rules. Zeeman effect |
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13 |
Th |
Oct 18 |
Zeeman effect in fine and hyperfine structure, high field Zeeman crossing, diamagnetic response |
ch.4 |
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4 |
3 |
8 |
14 |
T |
Oct 23 |
magic B field, Stark effect, HE1, derive scalar, tensor static polarizability |
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15 |
Th |
Oct 25 |
review, linear Stark effect, BBR shift |
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4 |
9 |
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T |
Oct 30 |
midterm in class |
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16 |
Th |
Nov 1 |
midterm solutions, Einstein A,B rate equations |
ch. 5 |
ch.3 |
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10 |
17 |
T |
Nov 6 |
absorption area law, Lorentzian lineshape, saturation effects, cross section and scattering rates. E1 Hamiltonian for oscillating field. co- and counterrotating terms |
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5 |
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18 |
Th |
Nov 8 |
TDPT, Fermi golden rule, semiclassical B coefficient, quantize EM field, quantum A coefficient (Wigner-Weisskopf theory) |
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11 |
19 |
T |
Nov 13 |
atomic lifetimes: magnetic dipole transitions, scaling with n, circular state lifetime. Introduction to using atoms as qubits. |
ch. 6 |
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20 |
Th |
Nov 15 |
line broadening mechanisms: radiative, Doppler, pressure, collisional, absorption spectroscopy |
ch. 7 |
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12 |
21 |
T |
Nov 20 |
Dynamic polarizability. Oscillator strengths, Rabi oscillations |
ch. 9 |
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5 |
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Th |
Nov 22 |
Thanksgiving |
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13 |
22 |
T |
Nov 27 |
density matrix theory, two-level Bloch equations, two-photon transitions, adiabatic transfer with dark states. |
ch.10 |
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6 |
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23 |
Th |
Nov 29 |
optical pumping, optical forces |
ch.11 |
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14 |
24 |
T |
Dec 4 |
atomic clocks (guest lecture Prof. Kolkowitz) slides |
ch. 12 |
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7 |
6 |
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25 |
Th |
Dec 6 |
laser cooling, magneto-optical trap, sisyphus and Raman cooling (briefly) |
ch. 13, 14 |
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15 |
26 |
T |
Dec 11 |
optical traps, atomic coherence, entangled atoms slides |
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7 |
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M |
Dec 17 |
Written class projects due by 5 pm |
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Th |
Dec 20 |
Presentation of class projects 7:45-9:45 am |
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Grading: HW 50%, midterm 17%, final project 33%
Homework
Homework is an important part of the course and accounts for 50% of your grade. Working problems is an integral part of learning physics, and will also give you practice in applying mathematical methods. You are encouraged to use the math resources provided in the notes and links below.
Homework will typically be given out on a tuesday and due the following tuesday. You are welcome to work together on homework, however you must turn in your own solutions - not a Xerox copy of someone else's. Late homework will not be accepted unless prior approval has been given. Assignments and solutions will be provided by email.
Atomic notes:
atomic notes (updated 2018.11.27)
9.19 corrected minor typos, added material on fine structure and proton radius in ch. 2
10.09 reorganized ch.3 and added new material
10.15 ch.4 - corrected lower/upper case labeling
10.25 corrected some minor typos
11.27 corrected some minor typos
Notes on various topics:
_______________________
Physical constants (updated 2015.09.03) if you want all the details here are the CODATA 2010 recommended values and NIST's 2014 updates.
Conversion between Gaussian and SI units (v1.2, 2009.01.20)
Quantum mechanics primer (updated 2016.09.27)
A little bit of quantum information
Time independent perturbation theory
Time dependent perturbation theory
Mathematical formulae (updated 2017.09.28)
Special relativity notes (version 1.2, updated 2008.02.17) A good introduction to special relativity that is much more detailed than my notes can be found here.
Tutorial on Fourier transforms Note that this tutorial uses a different convention than us. The prefactor in one-dimension is 1/(2pi) for the inverse transform (k->x) and just 1 for the forward transform (x->k). We are using a symmetric form where the prefactor is 1/sqrt(2 pi) in each direction.
Some interesting papers related to the course:
Einstein:
Einstein photoelectric effect (1905)
Einstein special relativity (1905)
Einstein radiation theory (1917)
Einstein and quantum theory (review 1979)
H matrix elements:
Gordon matrix elements (1929)
H Fine structure, hyperfine structure, and Lamb shift:
Hydrogen data (2010)
Lamb original measurement (1947)
Series of six papers by Lamb, et al. giving more experimental and theoretical details (1950-1953)
I II III IV V VI
Welton's Lamb shift calculation (1948)
Newer calculations (1967)
Newer experiments (1979)
Cs microwave clock:
NIST F1 accuracy (2002)
Absorption in atomic vapors:
Rb D lines, Hughes, Adams (2008)
Rb saturated absorption spectroscopy, Freegarde (2010)
Purcell effect:
Purcell effect(1946)
Haroche observation of enhanced decay (1983)
Kleppner theory of inhibited decay (1981)
Kleppner observation of inhibited decay (1985)
Rabi:
Space quantization (1937)
Magnetic resonance note (1938)
Molecular beam magnetic resonance method (1939)
Laser cooling:
Adams laser cooling review (1997)
Letokhov laser cooling and trapping review (2000)
Metcalf laser cooling review (2003)
subDoppler cooling of Na (1988)
Atomic parity nonconservation:
Bouchiat derivation of relevant weak interaction (1974)
Bouchiat review of parity nonconservation (1997)
JILA experiment (1997)
JILA experiment - all the details (1999)
Links to useful information:
Periodic table
NIST Physical reference data
NIST Atomic Spectroscopy reference
Harvard CFA databases
Wikipedia - atomic physics
Physics World
Math World
Wolfram function site
Digital library of mathematical functions
Abramowitz & Stegun Handbook of Mathematical Functions
Integrals on the web
Clebsch-Gordan calculator
6j symbol calculator
Matrix solver for linear equations on the web
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