Special Theory of Relativity Topics

Michelson-Morley Experiment and its outcome. Postulates of Special Theory of Relativity. Lorentz  Transformations. Simultaneity and order of events. Lorentz contraction. Time dilation. Relativistic transformation of velocity, frequency and wave number. Relativistic addition of velocities. Variation of mass with velocity. Massless Particles. Mass-energy Equivalence. Relativistic Doppler effect. Relativistic Kinematics. Transformation of Energy and Momentum, Transformation of Force, Four vectors. Problems of Relativistic Dynamics: Acceleration of charged particle by constant electric field, transverse Electric field.

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Non-Inertial Systems:

Non-inertial frames and fictitious forces. Uniformly rotating frame. Laws of Physics in rotating coordinate systems. Centrifugal force. Coriolis force and its applications. Components of Velocity and Acceleration in Cylindrical and Spherical Coordinate Systems.

Plan of the Course

Special theory of relativity is a part of graduate physics course but keep deep concepts of relative motions. In the begining of this course some live example are taken to explain the relative motion and later frame of references are explained based on it.

To explain the relativistic effects at the speed of light some artistic view of the events are tried to explain the situation that how first observer observe the event and then using some relationship explained that how it will appear by the second observer.

Precautions in special theory of relativity:

To understand it in a clear way it is better to observe the meaning and visualize the frame of reference. If you read and understand it you will get the clear idea. Some numerical problems are added here to get the insight about real situations.

There are some points that should be very clear these are;

1. Frame of reference
2. Observer
3. event

Now frame of reference can be anything where a person observe any event, for an example relative motion between two cars. As you know, and definitely you have observed it in your childhood, when you were travel by the car or superfast trains. You have observed that when you overtake a car it passes slowly but the car which comes toward you cross your car very fast. Or plants, tree moves in opposite direction with the same speed as you are.

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