QM Lecture 2

CHAPTER 2 CLASSICAL PHYSICS ELECTROMAGNETISM and RELATIVITY (REVIEW)

2.1 ELECTROMAGNETISM

2.1.A Maxwell’s Equations (ME)

2.1.B Consequences of the Maxwell Equations

2.1.B.a The wave equation

2.1.B.b Light as electromagnetic radiation

2.1.B.c Independence of the motion of the source

2.1.B.d The Lorentz’s Transformation

2.1.C The hypothesis of the ether and the notion of absolute velocity

2.1.C.a The Michelson-Morley Experiment

2.1.C.b Lorentz’ length-contraction hypothesis

2.1.C.c Transformation of coordinates based on the Lorentz’ length-contraction hypothesis

2.2 SPECIAL THEORY OF RELATIVITY

2.2.A Newton’s Principle of Relativity

2.2.A.a The Galilean Transformation

2.2.A.b Electromagnetism and the Principle of Relativity

2.2.B Einstein’s Principles of Relativity

2.2.B.a The principles of relativity

2.2.B.b Consequences of Einstein’s principles of relativity

2.2.B.b1 Relationship between the space-time coordinates in different inertial

reference frames

2.2.B.b2 Relationship between the velocities

2.2.C Required modification of the Mechanics laws to make them compatible with Einstein’s

relativity principles.

2.2.C.a Relativistic Momentum and Energy of a Particle

2.2.C.b Derivation of the relativistic mass

2.2.C.c Derivation of the relativistic energy

2.2.C.d Equivalence of mass and energy

2.2.C.e Relationships involving p, E and v

2.2.D Four-components vectors and symmetry

2.2.D.a Transformation of space-time coordinates

2.2.D.b Transformation of energy-momentum coordinates

References

Richard Feynman, “The Feynman Lectures on Physics,” Volume I, Chapter 15, 16, 17 R. Eisberg and R. Resnick, “Quantum Physics,” 2nd Edition, Wiley, 1985. Appendix A