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### __ PHYS 481 - SPECIAL THEORY OF RELATIVITY __

### __Fall 2007 __

** Phys481 **: __ Special Theory of Relativity. A third year course.__

__ Text book :__
** Relativity: Special, General and Cosmology** by Wolfang Rindler.
Second Edition.Oxford Universty Press.

__ Other Books: __
** Spacetime Physics ** by E.F. Taylor and J. A. Wheeler, W.H. Freeman and Company, San Francisco.

** Special Relativity ** by A. P. French, (The M.I.T Introductory
Physics Series), Norton and Company, New York, 1968

** **__ Content: __
In this period the first seven
chapters of " Rindler " will be covered. See the
"Course Syllabus" below

** **__ Course Schedule: __
Monday 08.40-10.30 , SAZ-20
Wednesday 10.40-12.30 , SAZ-20

__ Exams:__
(%30) Midterm Exam :
October 24 (at the lecture hour)
(%40) Final Exam :
(%30) Projects :

** **__ Subjects will be Covered __

** Reading assignments **

Introduction
Galilean Transformation
Newtonian Relativity
The ether and Micelson Morley Experiment

Origins of sepcial relativity
Einstein s postulates
Einstenins Equavalence principle and general relativity

** September 17 **

On the nature of physical theories
Basic features of special realtivity
Relativity of simultaneity , time dilation and length contraction
The relativity principle and homogeneity and isotropy of inetrtial frames
Derivation of Lorentz trasformations

** September 24 **

Properties of the Lorentz tranformations
Graphical representation of the Lorentz transformations
The relativistic speed limit

** October 1 **

Relativistic Kinematics
World Line picture and world-map
Paradoxes

** October 8 **

Veloctity transformation
Acceleration Transformation
Rigid motion

** October 15 **

Relativistic Optics
the Drag effect
The Doppler effect
Aberration

** October 22 **

Spacetime and Four vectors
Minkowski Space
The light cone and intervals
Three-vectors, four-vectors
The geomtery of four-vectors

** October 29 **

Relativistic particle mechanics
Domain of validity
The axioms of new mechanics
The equivalence of energy and mass
Four momentum identities, the zero momentum frame

** November 5 **

Light quanta and de Broglie waves
The Compton Effect
Four-force and three-force

** November 12 **

Four Tensors; Electromagnetism in Vacuum
Tensors
Maxwell s equations in tensor form

** November 19 **

The four potential
Transformation of E and B; The dual filed
The field of uniformly moving point charge

** November 26 **

The filed of an infinite straight current
The energy tensor of the electromagnetic filed
From the mechanics of the filed to the mechanics of the material continua

** December 3 **

Review

__ Course Syllabus __

1. Sept.17. Galilean Transformation, Newtonian relativity.

2. Sept.24. Origins of special relativity and Einstein s Postulates.

3. Oct.01. Basic features of specila relativity

4. Oct.8. Properties of Lorentz trasformations

5. Oct.15. Relativistic Kinematics

6. Oct.22. Velocity and acceleration transformations

7. Oct.29. Relativistic optics

8. Nov.5. Minkowski Space

9. Nov.12 Relativistic particle physics.

10. Nov.19. de Broglie waves and Compton effect.

11. Nov.26. Electromagnetism in vacua.

12. Dec.3. Transformation of E and B.

13. Dec.10 Energy momentum tensor

14. Dec.17 Review
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### Last update June 22, 2007

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