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**Special Relativity (Fall 2016)**

General: ( This webpage is updated gradually) - Last Update 30 January 2017

This is a B.Sc. course, which will be held in Physics Department of Sharif University of Technology.

Class Time: Saturdays and Mondays 9:00 - 10:30

Place: Physics Department - Physics 3

Office Hours: Sundays and Tuesdays 9:00 - 10:00 (Or by appointment
- Email: baghram@sharif.edu) ** **

Registered students: 37

About the Course:

This is an introductory course on Special Relativity. The aim is to understand one of the greatest science achievements, understand the structure of space and time when the gravity is absent.

**Teacher Assitants:**

Mr. Mohammad Ansari (Head of TA group) Email address: m.ansari1373@gmail.com

and in alphabetical order:

Mr. Mostafa Asemani

Mr. Mehregan Doroudiani

Mr. Mahdi Ghezloo

Mr. Oveis Shiebani

TA Class Group 1: Sundays 15:00 - 16:30 in Physics 3

TA Class Group 2: Mondays 15:00 - 16:30 in Physics 1

Grading:

Mid-term 1 : 4 points
**YOU CAN SEE THE
RESULTS HERE**. Saturday 5 November 2016 / 15 Aban
1395 @ 8:30 - 10:30 / Alef 3

Mid-term 2: 5 points
**YOU CAN SEE THE
RESULTS HERE**. Saturday 10 December 2016 / 20 Azar
1395 @ 8:30 - 10:30

Assignments: 4 points ( 3 points for problems sets 1 point for Quizzes)

Projects: 1.5 point Presentation date: (Must be a very high quality project) Monday 26 December 2016 / 6 day 1395 @ 8:30-10:30

Presentation Day:
**Monday 4 Bahman 95 - 23 January 2017 @ 9:00**

Final Exam: 7 points
**YOU CAN SEE THE
RESULTS HERE**. Wednesday 11 January 2017
/ 22 Day 1395 @ 9:00 - 12:00

Total grade: from 21.5 YOU CAN SEE THE TOTAL GRADING HERE

Suggested Reading:

Main guidline: Relativity: Special general and Cosmology: Wolfgang Rindler 2006

نسبیت خاص- شهرام خسروی و رضا منصوری انتشارات دانشگاه صنعتی شریف 1389

Introduction to Classical Mechanics: David Morin Cambridge University Press 2008

Basic Relativity, R.A. Mould, 1994, chapter 1,2,3

Special Relativity: An Introduction with 200 Problems and Solutions: Michael Tsamparlis, springer 2010

Special Relativity, David W. Hoggs, 1997, whole lecture

Special Relativity : A. P. French 1968

Classical Electrodynamics, J.D. Jackson, 1999 third edition Chapter 11.6 and 11.7

Spacetime and Geometry: Introduction to General Relativity, Sean Carroll, Addison Wesley 2004 Chapter 1 -2

Introducing Einstein's Relativity, Ray d'Inverno, Oxford University Press- Chapter 5

Classical Mechanics: Goldstein, Poole and Safko, Addison Wesley 2002 Chapter 7

Gravitation: Foundation and Frontiers T.Padmanabhan, Cambridge University Press: 2010 Chapter 1

For Classical Field Theory and Special Relativity you can refer to:

1) A modern introduction to quantum field theory by Michele Maggiore Oxford University Press - 2005

2) An Introduction to Quantum Field Theory by Daniel V. Schroeder and Michael Peskin (1995)

3) David Tong: Lectures on Quantum Field Theory - Cambridge University

Lectrure Notes and Presentations:

**Classical Field Theory and Special Relativity**

**Lorentz Group and Thomas Precession**

Time Line of Lectures:

**Lecture 1: ( Saturday - 17 Sep
2016)**

a) An introduction to the class routines and regulations, grading and etc… b) A historical perspective on the concept of space – time c) Newtonian Mechanics, Absolute space and Time, Galilean Transformations d) Beyond Newtonian absoluteness

**Lecture 2: ( Monday -
19 Sep 2016)**

a) Galilean transformation and the invariance of newton laws. B) Maxwell Equations and Galilean transformations c) he concept of aether d)Michelson-Morley experiment

**Lecture
3: (Saturday - 24 Sep 2016)**

The introduction to Lorentz Transformation

**Lecture 4: ( Monday - 26
Sep 2016)**

Lorentz Transformation and the spirit of SR

**Lecture 5 : ( Saturday - 1 Oct 2016 )**

Invariance of Space-time length

**Lecture 6 : ( Monday 3 Oct 2016)**

The Special Relativity - Lorentz transformation - Time dilation and Length Contraction.

**Lecture 7 : ( Saturday 8 Oct 2016 )**

The space time diagram of Minkowski I

**Lecture 8 : ( Monday 10 Oct 2016)**

The space time diagram of Minkowski II

**Lecture 9 : ( Saturday 15 Oct 2016)**

The concept of rapidity is discussed. The Length contraction paradoxes is proposed.

**Lecture 10 : (Monday 17 Oct 2016)**

Accelerated particles in Special Relativity.

**Lecture 11 : ( Saturday 22 Oct
2016 )**

The paradox of garage and car is studied. The concept of special acceleration is discussed as well.

**Lecture 12 : ( Monday 24 Oct
2016)**

The paradox of the car and garage re-studied with the Minkowski diagrams. The paradox of the rotating disc and its relation to the geometry is discussed as well.

**Lecture 13 : ( Saturday 29 Oct
2016)**

The Special Relativity and Optics: Doppler Effect - Aberration

**Lecture 14 : ( Monday 31 Oct 2016)**

The Minkowski space-time, Minkowski metric and the the concept of covariant and contravariant 4-vectors is discussed.

**Lecture 15 : ( Saturday 5 Nov
2016) / 15 Aban 1395**

**Mid Term 1 Exam**

**Lecture 16 : ( Monday 7 Nov 2016)**

The concept of 4-vector is discussed.

**Lecture 17 : ( Saturday 12 Nov
2016)**

The concept of 4-Momentum, conservation of momentum and mass-energy relation is discussed.

**Lecture 18: ( Monday 14 Nov 2016)**

Dynamic of SR is discussed. The Compton scattering is studied.

**Lecture 19: ( Saturday 19 Nov
2016)**

A couple of problems related to the dynamic of SD is solved including the relativistic interactions.

**Lecture 20: ( Monday 21 Nov 2016)**

**Lecture 21: ( Saturday 26
Nov 2016 )**

**Lecture 22: ( Saturday 3 Dec 2016)**

Electrodynamics - On field tensors and solving problems in Special relativistic Electrodynamic I

**Lecture 23 : ( Monday 5 Dec 2016)**

Electrodynamics - On field tensors and solving problems in Special relativistic Electrodynamic II

**Lecture 24 : ( Saturday 10 Dec
2016 ) / 20 Azar 1395**

**Mid Term 2 Exam**

**Lecture 25: ( Monday 12 Dec 2016)**

Classical Field Theory and Special Relativity

**Lecture 26 : ( Monday 19 Dec 2016
)**

**Lecture 27 : ( Saturday 24 Dec
2016 )**

**Lecture 28 : ( Monday 26 Dec 2016
) / 6 Day 1395**

Thomas Precession and special relativity - Einstein in Pictures

Assignments:

****

****

Essays - Projects:

The projects and essays for this course must be prepared in high quality in science and presentation. It must be match with standards of presentations. The grading for this part as it is optional is very strict. So do not put your time for this unless you are determined to do a high quality job.

Classic Papers:

Einstein paper on Special Relativity 1905 - In German and its English translation

Useful Links:

Introduction to Special Relativity by Bruce Knuteson : MIT course 2005 : click here

Relativity by Max Tegmak: MIT open course 2006: click here

Special Relativity course
taught in Standford by Susskind (Spring 2012):
click here