Review
-Review all homework problems
This semester we have the opportunity to wander through a number of topics related to our understanding the way our world works at the very basic level. In order to give you a chance to prepare for the final exam I am listing points that I feel are important.
- Basic
Quantum There are substantial comments on QM on
this website.
- Operators
- States
- Eigenstates
- Examples of operators: H, P, X, R, J
- Inner product
- Vector Space
- Dual Vector
- Superposition
- Basis state
- Completeness
- Orthonormal
- Spin
- Groups
- Transforamtions
and Symmetry
- Poincare transformation
- translations of space and time
- rotations
- boosts
- reflections (parity and time reversal)
- OVERVIEW of the role of symmetry in particle physics
- Global transformations è conservation laws
- Fundamental particle should be defined independent of coordinate system. Therefore we look for “multiplets” that clarify how a particle changes. For example, spin ½ identifies a multiplet. The z-projection is the piece of the multiplet which mixes under rotations. Spin labels fundamental particles. The z-projection doesn’t.
- Local transformation è interactions
- U(1) E&M
- SU(2) Weak
- SU(3) QCD
- Poincare Gravity
The structure of the groups is somewhat encapsulated by the way we write down the states. Our primary example was SU(2). The leptons and quarks form SU(2) multiplets that clarify how the weak interaction works.
- Standard Model
- Particles
…..- Interactions
- Weak
- E&M
- QCD
- Some of the features
- color singlets Confinement
- CMK mixing matrix which implies that the weak interaction mixes quark states
- Favor quantum numbers
- Building particles
- Know the particles and there properties
- Σ, N, K, π, ω,γ
- Role of SU(3) flavor in building these states
- octet, decaduplet
- Some of there interactions
- distinguish weak, strong, E&M
- Constituent Models
- Hydrogen-like states for the heavy quark mesons
- Feynman diagrams (2nd order diagrams as an indication of basic interaction processes)
- Parity, Time Reversal, Charge Conjugation
- Kaon system
- Dark Matter (see Scully’s lecture posted on website)
- What motivates Dark Matter
- Observations
- Problems / solutions
- Electron Scattering
- Kinematic Variables
- Break up of the interaction
- {photon Flux}Form Factor (Structure Function)
- Elastic result with no polarization
- GeP, GMP
- DIS
- scaling
- parton distribution functions u(x, Q2)
- spin structure function g1(x, Q2)