Papers by Dirac, Wigner, and Feynman
Dirac
1927. the quantum theory of the emission and absorption of radiation, Proc. Roy. Soc. (London) [A114] 243-265.
1945. Unitary representations of the Lorentz group. Proc. Roy. Soc. (London) [A183] 284-295.
1949. Forms of relativistic dynamics, Rev. Mod. Phys. [21] 392-399.
Combine all three.
Wigner
1932. On the Quantum Correction For Thermodynamic Equilibrium Phys. Rev. [40] 749-759.
1939. On unitary representations of the inhomogeneous Lorentz group. Ann. Math. [40] 149-204.
1953. On the contraction of groups and their representations, Proc. Natl. Acad. Sci. (U.S.) [39] 510-524.
Combine 1. and 2.
and
Combine 2. and 3.
Feynman
1969. High-energy collisions of hadrons, Phys. Rev. Lett. [23] 1415-1417.
1971. Current matrix elements from a relativistic quark model, Phys. Rev. D [3] 2706-2732.
1972. Statistical Mechanics, Chapter 2 on density matrix.
Combine all three.
Why three?
Combine them all.
Einstein's Lorentz-covariant World
Massive/Slow
between
Massless/Fast
Energy Momentum
E=p
2
/2m
Einstein's
E=(m
2
+ p
2
)
1/2
E=p
Spin,
Gauge, Helicity
S
3
S
1
S
2
Wigner's
Little Group
S
3
Gauge Trans.
Gell-Mann, Feynman
Quark Model
Lorentz-covariant
Oscillators
Partons
copyright@2012 by Y. S. Kim, unless otherwise specified.