Schedule for Physics 704 - Spring 2009

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All problem numbers refer to the third edition of Jackson!

Day and Date	Lecture Content and Homework Assignment
Mon. Jan. 12, 2009	Lecture: Refractive indices and dispersion. Plasma frequency. Homework (HW #1: due 1/21): Jackson 7.13.
Wed. Jan. 14, 2009	Lecture: Simple conductivity model. Homework (HW #1: due 1/21): Jackson 7.20.
Fri. Jan. 16, 2009	Lecture: The kernel G(Τ) and its properties. Homework (HW #1: due 1/21): Jackson 7.21.


Tue. Jan. 20, 2009	Lecture: Kramers-Kronig relations and sum rules. Presentation #1.1 by T. Akyurek: Meaning and derivation of eq. 7.117. Homework (HW #2: due 1/28): Jackson 7.27.
Wed. Jan. 21, 2009	Lecture: Time constant for a conductor: what is a "good" conductor? Skin depth for e.m. waves in materials / conductors. Homework (HW #2: due 1/28): This problem.
Fri. Jan. 23, 2009	Lecture: Waveguides. Presentation #1.2 by D. Xue: Real-life examples of e.m. waves in insulators and conductors. Homework (HW #2: due 1/28): Jackson 8.4a.


Mon. Jan. 26, 2009	Lecture: Cutoff frequencies and Poynting vector in waveguides. Rectangular waveguides. Cavities. Presentation #1.3 by M. Liang: Real-life examples of waveguides. Homework (HW #3: due 2/4): Jackson 8.6a.
Wed. Jan. 28, 2009	Lecture: Radiation due to an oscillating Electric Dipole. Presentation #1.4 by H. Duyang: Real-life examples of electromagnetic resonant cavities. Homework (HW #3: due 2/4): This problem.
Fri. Jan. 30, 2009	Lecture: Characteristics of Electric Dipole Radiation. The Larmor formula. Presentation #1.5 by J. Martinez: Why is the sky blue and sunsets red? Homework (HW #3: due 2/4): This problem.


Mon. Feb. 2, 2009	Lecture: Radiation zones, and radiation via the vector potential. Electric Dipole radiation. Homework (HW #4: due 2/13): Jackson 9.1.
Tue. Feb. 3, 2009	Lecture: Magnetic dipole & Electric quadrupole radiation. Homework: None.
Wed. Feb. 4, 2009	Lecture: Centre-Fed Linear Antenna. Pictures and concepts of Antennas. Homework (HW #4: due 2/13): This problem.
Fri. Feb. 6, 2009	Lecture: Receiving Antennas. Presentation #1.6 by Shu Yan: The short life of a ground state Bohr atom electron. Homework (HW #4: due 2/13): Jackson 8.2.


Mon. Feb. 9, 2009	Lecture: Transmission lines. The Helmholtz equation for spherical waves. Presentation #2.1 by Tayfun Akyurek: The spherical Bessel and Hankel functions. Homework (HW #5: due 2/20): This problem.
Wed. Feb. 11, 2009	Lecture: Preponed to 1/20/09.
Fri. Feb. 13, 2009	Lecture: Multipole expansion of Electromagnetic Fields. Homework (HW #5: due 2/20): None.


Mon. Feb. 16, 2009	Lecture: Multipole fields, continued. Presentation #2.2 by Shu Yan: Practical examples of TEM waveguides. Homework (HW #6: due 2/25): Verify that the fields described by (9.122) satisfy Maxwell's equations.
Wed. Feb. 18, 2009	Lecture: Preponed to 2/3/09.
Fri. Feb. 20, 2009	Test #1 covers material from Chapters 7, 8, and sections 9.1-9.4.


Mon. Feb. 23, 2009	Lecture: Angular distributions of multipole radiation. Presentation #2.3 by M. Liang: Examples of quantum selection rules. Homework (HW #7: due 3/4): Derive eq. (9.150) from (9.149) and eq. (9.152) from (9.151). Obtain the angular distributions listed in table 9.1.
Wed. Feb. 25, 2009	Lecture: Sources and Multipole radiation: the full theory. Homework (HW #7: due 3/4): Jackson 9.11.
Fri. Feb. 27, 2009	Lecture: Sources and Multipole radiation: the full theory (continued). Applications. Presentation #2.4 by J. Martinez: Physics situations where the angular distributions listed in Table 9.1 might arise. Homework (HW #7: due 3/4): [The following counts as a single problem.] Work out, in spherical coordinates, Jackson's vector spherical harmonics (VSH) for l=0, 1, 2 and non-negative values of m. Relate, if possible, the VSH for negative m to ones with positive m. Obtain an expression for the curl of the VSH times the appropriate Hankel function of the first kind. Specialize your result to the radiation zone.


Mon. Mar. 2, 2009	Lecture: Applications of radiation theory to atomic and nuclear Physics. Presentation #2.5 by H. Duyang: Why we think (experimentally) that the speed of light is constant. Homework (HW #8: due 3/18): Jackson 9.10.
Wed. Mar. 4, 2009	Lecture: Scattering. Homework (HW #8: due 3/18): [The following counts as a single problem.] Obtain equation (10.4) from (10.2) and (10.3). Derive the result (10.13). Obtain equation (10.14).
Fri. Mar. 6, 2009	Lecture: Scattering from conducting spheres, lattices. Presentation #2.6 by D. Xue: Lorentz transformations of 4-position and 4-momentum. Homework (HW #8: due 3/18): Jackson 10.1.


Mon. Mar. 16, 2009	Lecture: The wave equation under Galilean and Lorentz transformations. Presentation #3.1 by Shu Yan: The barn paradox. Homework (HW #9: due 3/25): Jackson 11.1.
Wed. Mar. 18, 2009	Lecture: Lorentz transformations, 4-vectors, Contra- and Co-variant vectors. Covariance of equations. Presentation #3.2 by Julian Martinez: The twin paradox. Homework (HW #9: due 3/25): Jackson 11.6.
Fri. Mar. 20, 2009	Lecture: Invariants, metric tensor, addition of velocities, contraction of indices, Spacetime diagrams, proper time. Presentation #3.3 by Manlai Liang on Observations of the Relativistic Doppler Effect. Homework (HW #9: due 3/25): [The following counts as a single problem.] Obtain the Lorentz transformation matrix for a boost along an arbitrary direction. Obtain the expression used in class for the relativistic Doppler effect when the photon is emitted at an angle relative to the velocity of the source.


Mon. Mar. 23, 2009	Lecture: The d'Alembertian □ and 4-vectors: x^μ, ∂_μ, v^μ, p^μ, J^μ, A^μ. Covariant forms of continuity equation, wave equation, Lorentz condition. Homework (HW #10: due 4/1): Jackson 11.26.
Wed. Mar. 25, 2009	Lecture: Covariance of equations. Equivalence of magnetic and electric forces: force on a charge due to a current-carrying wire. Introduction to the electromagnetic field tensor F^μν. Presentation #3.5 by Hongyue Duyang on measurement of the muon spin. Homework (HW #10: due 4/1): Jackson 11.28.
Fri. Mar. 27, 2009	Test #2 covers material from Chapter 9 section 9.5 onwards, section 10.1, elementary relativity (material covered in week of 3/16). Homework: None


Mon. Mar. 30, 2009	Lecture: The Electromagnetic field tensor F^μν and Lorentz transformations of electric and magnetic fields. Presentation #3.4 by Tayfun Akyurek on experimental evidence that energy and / or momentum actually obey the Lorentz transformations. Presentation #3.6 by Dong Xue on experimental proof of E=mc². Homework (HW #11: due 4/8): Jackson 11.30.
Wed. Apr. 1, 2009	Lecture: The Electromagnetic field tensor F^μν, the dual tensor ℱ^μν. Covariant formulation of Maxwell equations, Lorentz force law. Presentation #4.1 by Dong Xue: Displays of transformed electric and magnetic fields. Homework (HW #11: due 4/8): Jackson 11.17.
Fri. Apr. 3, 2009	Lecture: Scalar invariants, Precession of Spin. Presentation #4.2 by Shu Yan on history of Thomas precession: fine structure splittings and the anomalous Zeeman effect. Homework (HW #11: due 4/8): Derive Thomas precession from the BMT equation (11.164). Do not skip any steps (show all work).


Mon. Apr. 6, 2009	Lecture: Muon spin precession. Homework (HW #12: due 4/15): A proton from an incoming beam collides with another proton at rest. What is the minimum beam energy so that the final state contains a K+K- pair?
Wed. Apr. 8, 2009	Lecture: Muon spin precession, concluded. Presentation #4.3 by Tayfun Akyurek on experimental observation of time dilation. Homework (HW #12: due 4/15): Jackson 12.12.
Fri. Apr. 10, 2009	Lecture: Lagrangians for charged particles. Homework (HW #12: due 4/15): 12.2.


Mon. Apr. 13, 2009	Lecture: Overview of charged particle interactions with matter and detection and identification techniques. Presentation #4.4 by Julian Martinez on experimental observation of the Lorentz Force Law. Presentation #4.5 by Manlai Liang on results of theoretical calculations of g-2. Homework (HW #13: due 4/22): Jackson 12.14.
Wed. Apr. 15, 2009	Lecture: Energy loss by charged particles traversing through matter. Homework (HW #13: due 4/22): Jackson 13.2.
Fri. Apr. 17, 2009	Lecture: dE/dx continued. The Density effect. Presentation #4.6 by Hongyue Duyang on first observation of muon spin. [Not g-2!] Presentation #5.1 by Manlai Liang on range of charged particles in matter. Homework (HW #13: due 4/22): [The following counts as a single problem.] Write down the Maxwell equations in matter, the relations between the electric and magnetic fields and the potentials and the Lorenz condition in matter using Gaussian units. Derive the wave equation for the potentials and thereby derive eq. (13.22). Obtain eq. (13.26).


Mon. Apr. 20, 2009	Lecture: The Density effect, continued. Homework (HW #14: due 4/27): Jackson 13.6.
Wed. Apr. 22, 2009	Lecture: The Cherenkov Effect. Presentation #5.3 by Hongyue Duyang on observations of Cherenkov radiation. Presentation #5.4 by Shu Yan on observations of transition radiation. Homework (HW #14: due 4/27): Jackson 13.11.
Fri. Apr. 24, 2009	Lecture: Radiation from accelerating charges. Presentation #5.2 by Dong Xue on observations of energy loss by charged particles in matter. Presentation #5.5 by Tayfun Akyurek on synchrotron radiation. Homework (HW #14: due 4/27): Obtain expressions for the fields, i.e., equations (14.13) and (14.14), from the expressions for the potentials, i.e., from equations (14.8). [You may fill in the outline we followed in class or follow Jackson or do it any other way.]


Mon. Apr. 27, 2009	Lecture: Radiated power in the relativistic case. Presentation #5.6 by Julian Martinez on observations of bremsstrahlung radiation. No Homework.


Wed. May 6, 2009 9:00 AM - 12:00 noon	FINAL EXAM: Covers ALL material!

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