Cumulative Lecture Notes

01-28-2008/L1: Historical Perspective, Rutherford Formula

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See Frauenfelder and Henley, Subatomic Physics, for a discussion of form factors.

01-30-2002/L2: Scattering in Quantum Mechanics, Form Factor, Gauge Invariance, Standard Model

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See S.F. Novaes, hep-ph/0001283 for an introduction of the standard model. This paper also contains an extensive history of the standard model.

02-01-2008/L3, Electorweak Interactions

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02-04-2008/L4, Electroweak Interactions, Electromagetism

02-06-2008/L5, Higgs Mechanism, Quarks, Cabbibo Angle

02-08-2008/L6, Cabibbo-Kobayashi-Maskawa Matrix, Strong Interactions, Spontaneous Symmetry Breaking

See hep-ph/0403145 by A. Khodjamirian for an introduction of QCD and hadrons.

02-11-2008/L7, Strong Interactions, Chiral Symmmetry

02-13-2008/L8, Spontaneous Symmetry Breaking, Quantum Numbers

02-15-2008/L9, Baryons, Gell-Mann-Okubo Formula

The Gell-Mann-Okubo Formula is discussed in S. Okubo, Phys, Lett. 5, 165 (1963) and in M. Gell-Mann, Phys. Lett. 8, 214 (1964).. The derivation of this formula can also be found in many textbooks, for example in H. Georgi, Group Theory.

02-18-2008/L10, Constituent Quarks, Chiral Lagrangian, Gell-Mann-Oakes Renner Relation

The Gell-Mann-Oakes-Renner relation is introduced in M. Gell-Mann, R. Oakes and J. Renner, Phys. Rev. 175, 2195 (1968).

02-20-2008/L11, MII Bag Model, String Model of Hadrons

02-27-2008/L12, Spontaneous Symmetry Breaking in the O(n) Model, Mermin Wagner Theorem (guest lecture by Prof. Korepin)

see N. Goldenfeld, Lectures on phase transitions and the renormalization group.

03-05-2008/L13, Topology, Solitons, Derrick's Theorem, Winding Number (guest lecture by Prof. Korepin)

See R. Rajaraman, Instantons and Solitons, Chapter 3.

03-10-2008/L14, Skyrme Model, Hedgehog Solution.

See I. Zahed and G.E. Brown, The Skyrme Model, Phys. Rep. 142, 1 (1986)

03-12-2008/L15, Nucleon-Delta Mass Splitting, Nuclear Force, One Pion Exchange

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See G.E. Brown and A.D. Jackson, The Nucleon-Nucleon Interaction

03-14-2008/L16, Short Range Repulsion, Nuclear Potential, Deuteron, Square Well Potential

03-24-2008/L17, The Deuteron, Scattering Length, Effective Range, Quadrupole Moment

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See G.E. Brown and A.D. Jackson, The Nucleon-Nucleon Interaction for a discussion of effective range. A discussion of scattering length can be found in the book of Sakurai, Modern Quantum Mechanics.

03-26-2008/L18, Quadrupole Moment of The Deuteron and Tensor Force, Magic Numbers, Shell Model, Spin-Orbit Force, Shell Model Calculations

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See the book of S.S.M. Wong, Introductory Nuclear Physiscs for magic numbers and the shell model. A discussion of the deuteron is in the book by Brown and Jackson (see above).

03-28-2008/L19, Liquid Drop Model, Rotational States, Vibrational States, Giant Dipole Resonance

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See the book of S.S.M. Wong, Introductory Nuclear Physiscs.

03-21-2008/L20, Collective Motion and Brown-Bolsteri Model

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See G.E. Brown and M. Bolsteri, Phys. Rev. Lett. 3, 476 (1959)

04-02-2008/L21, Level Densitity, Weyl' Formula, Bethe's Formula

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See the book of S.S.M. Wong, Introductory Nuclear Physiscs.

04-04-2008/L22, Compound Nucleus

04-07-2008/L23, Scattering Theory, Breit-Wigner Resonances, Level Correlations

04-09-2008/L24, Fluctuation Measures, Nearest Neighbor Spacing Distribution, Number Variance, $\Delta_3$-statistic, Poisson Ensemble, Wigner Surmise

04-11-2008/L25, Nuclear Level Correlations, Wigner Surmise, Ergodicity, Random Matrix Theory, Anti-Unitary Symmetries, Wigner-Dyson Ensembles

04-14-2008/L26, Classicfication of Random Matrix Ensembles

04-16-2008/L27, The Resolvent, Wigner's Semi-circle, Joint Probability Distribution

04-18-2008/L28, Joint Probability Density, One-Point Function

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See M.L. Mehta, Random Matrices and Article by Misha Stephanov, Tilo Wettig and myself on Random Matrices

04-21-2008: Passover; No Classes

04-23-2008/L29, Two-point Function, Number Variance

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04-25-2008/L30, Quantum Chaos, Bohigas Conjecture, Semiclassical Theory of Spectral Rigidity

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The semiclassical theory of spectral rigidity was first worked out by Michael Berry in his paper

04-28-2008/L31, Quantum Chaos: H-atom, Disordered Solid, Dirac Eigenvalues

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The semiclassical theory of spectral rigidity was first worked out by Michael Berry in his paper

04-30-2008/L32, Dirac Eigenvalues, Zeros of the Riemann Zeta Function, Scattering and S-matrix

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For a review of random matrix theory to different systems, see the encyclopedia article by Misha Stephanov, Tilo Wettig and myself.

05-02-2008/L33, Solution of the Lippmann-Schwinger Equation, Feshbach Projection Operators, Unitarity of the S Matrix

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For a discussion of cross-section fluctuations see T. Erickson, Ann. Phys. 23, 390 (1963)

05-05-2008/L34, S-Matrix Fluctuations, Average S-Matrix

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05-07-2008/L35, Transmission Coefficients, Averag Cross Section, Erickson Fluctuations

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05-09-2008/L36

Benjamin Topper: Nucleosynthesis

Chris Winterrowd: The QCD Phase Diagram

05-12-2008/L37

Yan Li: NJL Model [1] [2] [3] [4] [5] [6]

Xiaoyang Gong: Neutron Stars [1] [2] [3] [4]

05-18-2008/L38, Final Exam Period: 11.00-1.30

Prerit Jaiswal: Fermi-Liquid Theory
Gordon Baym and Chris Pethick: Landau Fermi-liquid theory: concepts and applications (see library)

Jaehyung Choi: Renormalization group and Fermi-liquid theory.
R. Shankar, Rev. Mod. Phys. 66, 129 (1994).

04-13-2008/L34, The QCD Phase Diagram

04-15-2008/L35, Bjorken Picture of Heavy Ion Collisions

04-17-2008/L36, Relativistic Hydrodynamics

04-20-2008/L37, Statistical Model

04-22-2008/L38, Boltzmann Equation

04-24-2008/L39, Langevin Equation

04-27-2008/L40, Solar Model

04-28-2008/L41, Emergence of Elements in the Universe

04-30-2008/L42, Neutron Stars

Jacobus Verbaarschot
Last revised: January 27, 2008. 05-02-2008/