| Student name | Project Title
|
|
Todd Burdullis | Maxwell's Equations and Wave Equations, and their
decoupling for spheroidal coordinates |
| | Refs: Bardeen, Arfken,
some others will be coming
|
| Bryan Eastin | (Relativistic) motion of an electron under the
influence of an external, time-varying, electromagnetic field
|
| | Refs: Eberly,
Volkov [details already known, but will come here]
|
| Robert Hobbs
| Considerations of parity, time-reversal, and special, orthochronous
Lorentz transformations, vis-a-vis the Dirac equation |
| | Refs:
M. Scadron, "Advanced Quantum Theory," p. 64-111; P. Roman,
"Theory of Elementary Particles," p. 107 ff; S. Weinberg, "The Quantum Theory
of Fields," Vol. I, Sections 2.4-2.6 and also 5.4-6.
|
| Jesse Johnson
| Behavior of rigid rods and spinning spheres, viewed relativistically |
| | Refs: J. Terrell, "Invisibility
of the Lorentz Contraction," Phys.Rev. 116 1041-45 (1959); G. Cavalleri
& G. Spinelli, "Does a Rod, Pushed by a Force, Accelerate Less than the Same
Rod Pulled by the Same Force?" Nuovo Cimento, 66B 11-20 (1970); Rindler,
p. 45.
|
| Nicolas Menicucci
| Angular Momentum and like quantities, in spacetime
|
| | Refs:
Misner, Thorne and Wheeler, "Gravitation," p. 156-162; Lightman, Press, Price, &
Teukolsky, "Problem book in relativity and gravitation," Ch. 11;
some articles in Amer. J. of Physics, hopefully.
|
| Keith Mertens
| Details, rebuttals, and re-rebuttals of Miguel Alcubierre's Space-Warp
Drive |
| | Refs:
Miguel Alcubierre, Cl. Qu. Gravity, "The Warp Drive: ...," 11 L73-7 (1994)
|
| Anita Parmar
| Using differential forms to determine symmetries of non-linear pde's |
| | Refs: P. Olver,
"Applications of Lie Groups to Differential Equations," ; some notes by
Finley
|
| Andrew Silberfarb
| Clifford Algebra approach to electromagnetic fields
|
| | Refs:
Weinberg, "The Quantum Theory of Fields," Vol. I, Section 5.4-5 [The Dirac
Formalism] discusses Clifford representations and dimensionality of Dirac
matrices
|