High Energy
Relativity
Relativistic Quantum Mechanics
Plasma Physics
Relativistic Decay Rates and Scattering Cross Sections
Lecture 1
Lecture 2
Lecture 3
Inertial Reference Frame
Standard Configuration
Principle of Relativity
Invarince of Newton's laws under Gallilean Transforms
Consequences of invariance of speed of light
Lorentz Factor
Natural Units
Length Contraction
Time Dilation
Proper Time
Proper Distance
Invariant Interval
Space like time like and lightlike
Composition of Velocities
Lorentz Transform
Four Velocity
Relativistic Momentum
Conservation of momentum is covariant between inertial frames
Change in Second Newton's law for relativistic particles
Kinetic energy relatavistic equation
Total Energy of Relativistic Particle
Principle of mass energy equivalence
Three and Four Vectors
Lorentz Transformation equations for four components of pmu
Invairant norm of momentum four vector
Relativistic Energy Momentum relation from invariant form of momentum four vector
Lecture 4
Line Element in Euclidean Space
Euclidean Metric Tensor
Tensor in different coordinate frames
Contravariant and covariant four vectors
Minowski metric and Metric Signature
Einstien Summation Convention
Dummy and Free Indices
Switching between reference frames
Four gradients and dAlembertian
Threshold Energy
Four Force
Lecture 2
Lecure 3
Lecture 4
Lecture 1
Lecture 2
Lecture 3
Lecture 4
Lecture 1
Lecture 2
Lecture 3
Lecture 1
Probability Density, current and four vector
Derive Klein Gordon Equation
Probability current from time independent Schrodinger
Plane Wave Solutions of Klien Gordon
Biggest Issues with Klein Gordon Solutions
Derive Dirac Equation
Reduce Dirac Equation to Klein Gordon
Apply Pauli Spn matrices to get equivalent representations of four components
Covariant form of Dirac Equatoin
Momentum Form of Dirac Equation
Properties of Dirac Equation
Dirrac's theory for negativ energy eigenstates
Feynman Stueckelberg Interpretation
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Solutions ot Dirac Equation
Normalisation of Dirac Spinors
Gas Discharge
Plasm
Mean Free path for ion and electron
Townsend Discharge
Breakdown
Ionisation Coefficents
Stoltetow Point
Scales in Particle Physics
Fundamental Particles with charge and spin for each
Fundamentla interactions
Standard model vertices for fundamental interactions
Strange Particles history
Rules for creation and deay of strange particles and type of interaction responsible
Numbers of different Particles
Possibility of interaction to occur
Non time ordereness of Feynman Diagram
Crossing Symmetry
Quark Model fo Hadrons
Colour and anti colour of Quatks
Quarkonium
Gluons
Feynaman Diagrams for lowers order s,t and u channels
Fermi's golden rule
Density of Final states
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Lorentz invariant matrix element
Partial deay rate, partial witdth proper lifteime and branching ratio
General equation for two body decay trainstiion rate
Cross Section
lorentz invariant flux factor
General Equation for Cross section of 2 body to 2 body scattering problem
Boson propogaatorin s or t channel process
Decy rate, cs and diff cs of particular decay or scattering process
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Mandelstam variables