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PHY 854: Relativistic Quantum Field Theory

PHY 853: Relativistic Quantum Mechanics

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| course outline | homework files | handouts | grades |

 

Outline

PHY854:

  1. Classical Field Theory
    1. Hamilton's Principle, etc.
    2. 1 dimensional string
    3. Hamilton's principle
    4. Symmetries & Noether's Theorem
    5. Spin 1/2
    6. Spin 1
    7. Harmonic oscillator-many dof
  2. Second Quantization - free fields
    1. spin 0
    2. Normal Ordering
    3. Symmetry considerations
    4. spin 1/2
    5. spin 1
  3. Interactions among fields
    1. General scattering theory
    2. Interaction representation
    3. Time ordered products
    4. Coulomb scattering
  4. Development of the Feynman Rules
    1. Wick's Theorem
    2. Compton scattering
    3. Feynman rules
    4. Compton scattering, redux
    5. W decay
    6. ee->mu mu
    7. other examples?
  5. Radiative Corrections
    1. Cut-off
    2. Dimensional regularization
    3. Rnormalization of coulomb scattering

 

PHY853:

  1. Formalism of Quantum Mechanics
    1. Postulates
    2. Linear Algebra and Hilbert Space (Tung: ch 4 & AppII; Hamm: ch3; mess: ch5&7)
    3. Measurement
  2. Group Theory
    1. General Group Theory (Tung: ch2,3; Hamm: ch1,2; tink: 1-3; Ziman: ch7)
    2. Discrete Groups (Tink: ch 4; Hamm ch2)
    3. Continuous Groups (Tung: ch6-8; Hamm: ch8,9; Tink:ch 5; Ziman: ch7)
    4. Symmetric Group (Hamm: 7; Tung: ch5)
  3. Special Relativity (Schweber[RQFT]: ch2; Ziman: ch6
  4. The Dirac Equation(Bjorken and Drell, v1: ch 1-5; Sakurai: ch 3; Tung: ch 10; Mess: ch20; Schweber[RQFT]: ch3-5)
Homework
(pdf files)

PHY854:

Problem Set 1 pdf
Problem Set 1 ps
available, due by: March 3.

Problem Set 2 pdf
Problem Set 2 ps

Should be Version #2b
available, due by April 28 and May 3

PHY853:

Problem Set 1:
availble,
due by: October 29
Problem Set 2:
due by: November 29
Problem Set 3:
due by: December 15

 

Handouts
(html, pdf files, and scans)

HANDOUTS

Postulates of Quantum Mechanics (PS) (PDF)

Group Theory Definitions (PS) (PDF)

Grades
none yet