This is a summary of what we covered both in the classroom
and from the book. The exact time line
may not be correct since we sometimes reviewed and extended material covered in
of basic ideas:
to classical equations orbits
is a particle
is an interaction
transforms (frequency-time relationship)
, Four vectors, Tensors ,Rotations
- collection of objects such as rotations.
of a group can be combined (successive rotations)
can be represented as a single group member (a sum of rotations can be
considered as one single rotation)
(space and time),
- Lorentz and Galilean velocity transformations.
that vectors could be defined by their transformation properties.
Reviewed matrix representations
and column vectors
Formulation of relativity.
o Lorentz transformation
states form a vector space (Hilbert space).
A QS can be written as
a linear combination of other QS.
forks can be represented as a string of local pressures (snaps)
can be decomposed using the Fourier transform (tuning forks)
Certain sets of states can form a basis
As vectors one can compute an inner product.
o Orthogonality: No overlap between QS. This implies that the
states are chosen to be completely distinct in some way. There is a label that
can be used to completely distinguish state 1 and state 2.
State can share some characteristic. Two states may both have some likelihood
of being at some location.
Operators may represent observables so their
behavior and interpretation tells us how to think about particle properties.
slit, photon polarization
are quanta: Observations or measurements will record many discrete quantities
rather than a continuum
To account for the wave nature of QM amplitudes are used.
space: quantum states as vectors.
Week 3 (7,8,9)
(clarification of the above points)
of space and time as the understanding of an interaction
to the way that particle physics is now formulated. Particle physics is
based on similar bending of internal quantum spaces as the understanding
of E&M (QED) , weak, [electro weak], Strong
specific general discussion based on a paper.
Week 4 (10,11,12)
based on Weinberg article
number, charm beauty, Strangeness…
content of hadrons and mesons
Week 7 First
test , review and return test
Week 8 & 9
on rotations and SO(3)
isospin and general two component spin
particles together as an indication of flavor structure
- Pion π+ , πo
, π- (triplet)
momentum, commuting operators
momentum and the raising and lowering operators
- Poincare transformation summary
- Kaon system
Week 13 Thanksgiving no material covered
Week 15 Review
diagrams for QED
- Yukawa interactions (massive particle exchange)
– hole – antiparticle
- Dirac equ. Not covered
amplitude Not covered
- Pion exchange
Chapter3 (not covered)
systems spin (nucleon, pion…)
conjugation/intrinsic charge conjugation
system parity and charge conjugation
system quantum numbers
splitting (not covered)
diagrams –composite objects in Feynman diagrams
- Charmonium (not covered) know quark content only
- Qunatum numbers
- Qunatum numbers
splitting, magnetic moment (not covered)
singlets (rest not covered)
gluons as exchange particle
of chapter not covered)
and leptons pairs (ν,μ),
constant (not covered)
rules (not covered as such) selection rules are a result of using the
correct Feynman diagrams.
quark not covered
diagrams (differ from W)
not need the mixed states
of neutrinos (not covered)
invariance (not covered)
- Kaon system
handed, left handed
Chapter 11 (not covered)
Appendices A,B,C (not covered)