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QUANTUM! Seminar Archive

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I inaugurated QUANTUM! Seminar in September of 1999. This page archives the schedule of talks from then to the present.
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QUANTUM! Seminar Topics

The topics marked by a double asterisk (**) have already been covered.

  1. **Historical Survey
  2. **The Harmonic Oscillator: Classical verses Quantum Treatment
  3. **Mathematical Structure of Quantum Mechanics (QM)
  4. **The Dirac Calculus
  5. **Commutation Relations
  6. **The Classical Limit: Ehrenfest's Theorem
  7. **The Quantum Oscillator--Algebraic Treatment
  8. **Angular Momentum Operators and Spin
  9. **Multi-Particle States
  10. **Einstein-Podolsky-Rosen (EPR) Paradoxes and Bell's Inequality
  11. **Ensembles and Density Operators, Traces and Projections
  12. **Bosons and Fermions
  13. **Fock Space: Annihilation and Creation Operators
  14. **Quantum Statistical Mechanics
  15. **Schroedinger, Heisenberg, and Dirac Formulations of QM
  16. **Quantum Dynamics
  17. **Unitary Representations, Symmetries, and Conservation Laws
  18. **Path Integrals: The Feynman Formulation of QM
  19. Algebraic QM--C* Algebras
  20. **Quantum Computing
  21. **Shor's Quantum Factoring Algorithm/Grover's Quantum Search Algorithm
  22. **Special Relativity (SR) Primer
  23. **Klein-Gordon and Dirac Equations--Antimatter Predicted!
  24. Deriving the Hydrogen Spectrum Relativistically
  25. Deriving the Helium Spectrum through Perturbations
  26. **Quantizing the Classical String
  27. **Quantizing Lagrangian Fields
  28. Covariant Electrodynamics and its Quantization: Quantum Electrodynamics (QED)

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Fall Semester 1999
o Thursday, 09 September: Notes on the History of Quantum Mechanics
o Thursday, 16 September: The Harmonic Oscillator: Classical verses Quantum Treatment
o Thursday, 23 September: The Quantum Oscillator: Implications of Quantum Mechanics
o Thursday, 30 September: The Mathematical Structure of Quantum Mechanics
o Thursday, 07 October: Observables: Self-Adjoint Operators and Expectation Values
o Thursday, 18 November: The Projection Postulate Examined
o Thursday, 02 December: The Dirac Calculus
Spring Semester 2000
o Thursday, 13 January: The Dirac Calculus: Two Impossible Equations Habilitated
o Thursday, 20 January: No Seminar--I am in Washington at the AMS Meeting
o Thursday, 27 January: Commutation Relations
o Thursday, 03 February: Classical Mechanics Recovered: Ehrenfest's Theorems-Part I: The Equations of Classical Mechanics
o Thursday, 10 February: Classical Mechanics Recovered: Ehrenfest's Theorems-Part II: Ehrenfest's Theorems
o Thursday, 17 February: Algebraic Treatment of the Quantum Oscillator
o Thursday, 24 February: Angular Momentum Operators-Part I: The Basics
o Thursday, 02 March: Angular Momentum Operators-Part II: Representations of su(2)
o Thursday, 16 March: Angular Momentum Operators-Part III: Application to the Central Force Problem
o Thursday, 23 March: Cancelled for guest lecture
o Thursday, 30 March: Angular Momentum Operators-Part IV: Spin and Addition Rules
o Thursday, 06 April: Mult-particle States and Tensor Products
o Thursday, 13 April: Einstein-Podolsky-Rosen (EPR) Paradoxes and Bell's Inequality
o Thursday, 20 April: EPR and Bell Continued
Fall Semester 2000
o Thursday, 31 August: Organizational Meeting
o Thursday, 07 September: Ensembles and Density Operators
o Thursday, 14 September: Bosons and Fermions
o Thursday, 21 September: Annihilation and Creation Operators on Fock Space
o Thursday, 28 September: More Fock Space
o Thursday, 05 October: A Brief Introduction to Quantum Statistical Mechanics
o Thursday, 12 October: Schroedinger, Heisenberg, and Dirac Formulations of QM
o Thursday, 19 October: Unitary Representations, Symmetries, and Conservation Laws
o Thursday, 26 October: Cancelled: for Special Topology Seminar
o Thursday, 02 November: Path Integrals: The Feynman Formulation of QM
o Thursday, 09 November: Cancelled: I am in Washington, DC
o Thursday, 16 November: More on Feynman Path Integrals
o Thursday, 30 November: Quantizing Lagrangian Fields: An Introduction to Field Theory
o Thursday, 07 December: Quantizing the Classical String: An Archetype of Field Theory
Spring Semester 2001
o Thursday, 11 January: No meeting: AMS Meeting in New Orleans
o Thursday, 18 January: Go to Physics Colloquium
             Quantum Information Processing Using NMR, UPL 101 3:45 (Refreshments 3:15)
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o 01 February - 08 March: Lectures on QUANTIZING THE CLASSICAL STRING (QCS)
o Thursday, 01 February: QCS: Normal Modes and the Classical Hamiltonian
o Thursday, 08 February: QCS: Normal Mode Quantization via Coefficient Operators
o Thursday, 15 February: QCS: Field Quantization via Canonical Commutation Relations (CCRs)
o Thursday, 01 March: Symmetries and Noether's Theorem Ettore Aldrovandi
o Thursday, 08 March: Classical Field Theory and Noether's Theorem Ettore Aldrovandi
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o Thursday, 15 March: SPRING BREAK
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o Thursday, 22 March: Classical Field Theory and Noether's Theorem (continued) Ettore Aldrovandi
o Thursday, 29 March: Scalar Fields and Vertex Algebras Ettore Aldrovandi
o Thursday, 05 April: Cancelled Go to physics colloquium.
o Thursday, 12 April: More Vertex Algebras Ettore Aldrovandi
Fall 2001
o Thursday, 06 September: The Classical Equations of Electrodynamics: Maxwell, Continuity, and Lorentz Force Equations
o Thursday, 13 September: A Quick Glance at Relativity Theory
o Thursday, 20 September: Lorentz Transformations and Four-Vectors
o Thursday, 27 September: Lorentz Transformations, continued
o Tuesday, 02 October: Four-Vectors, again!
o Thursday, 11 October: Covariant Electrodynamics: The Four-Potential and the Gauge Principle
o Thursday, 18 October: No Seminar Today
o Thursday, 25 October: Electrodynamic Action: Lagrangians and Hamiltonians for Particle and Field
o Thursday, 01 November: Quantum Gauge Invariance of the Electromagnetic Field
o Thursday, 08 November: No Seminar Today
o Thursday, 15 November: Seminar Cancelled
o Thursday, 22 November: Thanksgiving Break
Spring 2002
o Thursday, 24 January: The Dirac Equation I
o Thursday, 31 January: The Dirac Equation II
Fall 2002
o Thursday, 05 September: The Feynmann Path Integral Revisited
o Thursday, 12 September: Calculating Path Integrals
o Thursday, 26 September: Calculations of Path Integrals via Polynomial Path Families
o Thursday, 10 October: Path Integrals via Polynomial Path Families, II
o Thursday, 17 October: The Constant Force Propagator
o Thursday, 24 October: The Harmonic Oscillator Propagator

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o Night Thoughts of a Quantum Physicist, Adrian Kent, pdf file.
o Night Thoughts of a Quantum Physicist, Adrian Kent, ps file.



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