Special theory of relativity
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Special theory of relativity

Learn relativity more intuitively.
New
0.0 (0 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
0 students enrolled
Last updated 8/2020
English
Current price: $12.99 Original price: $19.99 Discount: 35% off
14 hours left at this price!
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This course includes
  • 8 hours on-demand video
  • Full lifetime access
  • Access on mobile and TV
  • Assignments
  • Certificate of Completion
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What you'll learn
  • The student will learn intuitive idea behind the special theory of relativity.
  • Coordinate system
  • postulates of special theory of relativity and its consequences
  • Interval in special relativity , Minkowski space, Light Cone, Physicsal meaning of the interval.
  • Time dialation, action principle in special theory of relativity.
  • Four vectors, Lorentz transformation and lorentz group, Minkowski metric, Tensor algebra, Continuity equation in Special relativity
  • Gauss- divergence theorem in 4 dimensional volume element
  • Dynamics of a particle using principle of least action, hamiltionian jacobi equation
  • relativistic mass energy relation and its classical limits. Relativistic hamiltonian jacobi equation
  • Relativistic electrodynamics, derivation of lorentz force equation in relativity. Covarient form of electromagnetic fields, Relativistic canonical momentum
  • Gauge transformation, Continuity equation for relativistic Currents,
  • Action and dynamics for the fields, Energy momentum stress tensor
  • Field theoretic equation for electromagnetism, Lorentz gauge, coulumb gauge
Requirements
  • Basic calculus
  • Basic classical mechanics (least action principle)
  • Basic of electromagnetism
Description

In this course, the existence of maximal finite invariant speed (speed of light)  leads to the many interesting consequences.  The classical Newtonian theory breaks at high speed.  The classical concepts of space and time breaks and the new concept of spacetime arises in which space and time are in the same footing. And our usual intuition breaks at this speeds. We observe lots of new phenomena which are relativistic in nature. One example is Electromagnetism.

Who this course is for:
  • BSc and MSc students
  • And those who want to learn relativity more rigorous and intuitively
Course content
Expand all 7 lectures 07:49:45
+ Introduction
1 lecture 01:46:52

Here you will learn the coordinate system, postulates of special relativity and its consequences,  Interval and its physical meaning, Time dilation, Geodesic equation, Minkowski metric and its properties.

Preview 01:46:52
+ Intervals and light cone coordinate
1 lecture 01:33:40

In this lecture, you will learn Intervals, space-like region, light like region, tike like region, light-cone coordinate, world lines, reparametrization of world lines,  4 vectors, tensor transformations and its properties.

Lect_2
01:33:40
+ Dynamics of a particle
2 lectures 02:11:01

Here you will learn dynamics of a particle, Least action principle,  Canonical momentum, Jacobi equation.

Preview 16:06

In this lecture, you will learn action for relativistic free particles and its corresponding lagrangian, mass-energy relation, total relativistic energy, Derivation of equation of motion for relativistic free particles, properties of 4 velocities and 4 acceleration, relativistic particles with some potential (scalar and vector), Action for gravity, Lagrangian for charge particle in a potential,  derivation of the equation of motion for relativistic particles in EM field generalize Lorentz force equation, electromagnetic field tensor and the physical meaning of its components, Canonical momentum for a relativistic particle in EM potential, Gauge transformation and gauge-invariant quantities,  Action is invariant under gauge transformation.

Dynamics of relativistic particles
01:54:55
+ Lorentz transformation of electric and magnetic field and its properties
3 lectures 02:18:12

Lorentz transformation of the electric and magnetic field and its properties, Search for a combination of electric and magnetic such that it remains invariant under Lorentz transformation,  Action for a charged particle in electromagnetic fields, electromagnetic current density and relativistic continuity equation.  Conserved currents.

Lorentz transformation of electric and magnetic field and its properties
32:17
Action and dynamics for fields
01:02:50
Nature of EM 4 potential and Lorenz gauge
43:05