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Detailed Programme of the Week 09/25/2023 -- 09/29/2023:
-- Introduction and Special Relativity
LECT 1 -- Monday
09/25/2023 - 1h Bonciani 15:00-16:00
(AULA 3)
Info about the
course and the exam. General introduction.
LECT 2-3 -- Tuesday 09/26/2023 - 2h
Bonciani 8:00-10:00 (AULA 4)
Non relativistic Quantum Mechanics and
Schoedinger's equation. Wave function and probability
density. Description of a single particle state at low
energies. The need to include Special Relativity. The
Klein-Gordon equation as a relativistic wave equation.
Probability density. Negative energy solutions.
Attempts to get a correct relativistic wave equation.
Dirac's equation. Probability density. Negative
energy solutions. Hole theory and the positron. Multi
particle formalism. Energy and mass. Classical
Electrodynamics. Wave equations as the correct
classical field equations. Second quantization.
Galilean relativity and composition of
velocities in Newtonian mechanics. Maxwell's equations and
Lorentz transformations. Constance of the speed of light.
Attempts to reformulate a relativistically covariant version
of Mechanics. Einstein's postulates of
relativity. Events. Invariance of Delta s. Time-like, light-like
and space-like intervals and the causality structure of
Space-Time. Light cone. Lorentz transformations: Boost in
the x direction. Limit of small velocity and
the recovery of Galilean transformations. [Barone,
"Relativita'"; Weinberg, "Gravitation and
Cosmology"]
LECT 4-5 -- Friday 09/29/2023 - 2h
Bonciani 8:00-10:00 (AULA 4)
Minkowski space.
Lorentz
transformations form a Group. Structure of the group.
Poincare' Group. Infinitesimal
transformations.