Dror Bar-Natan: AcademicPensieve: Classes: 9697-Mechanics:

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	Notebook (.pdf)	Source (.nb)	Created	Last Modified	Summary
1	index	source	2024-03-17 10:28:38	2014-01-19 16:15:44

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Course description

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Course plan

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Oct 17: ??

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Euler-Lagrange as in Itzykson-Zuber

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Oct 24: Basic calculus of variations

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Oct 24: Basic calculus of variations (2)

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HW1: Basic calculus of variations

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Oct 31: Symmetries and conservation laws

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Nov 7: The Hamiltonian

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HW2: Hamiltonians

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Review of differential forms

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Nov 14: Symplectic geometry, Poisson brackets

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Nov 21: The Maxwell equations

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Feynman's equations of classical physics

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HW3: Symplectic geometry, Poisson brackets

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HW4: Maxwell and special relativity

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Nov 28: Probability theories

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The 3/4,3/4,3/4,0 square

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Planning

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Dec 5: Quantization of the harmonic oscillator

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First page of Feynman's Quantu

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Dec 6: The CCRs and von-Neuman's uniqueness

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Lemmas for von-Neuman's uniqueness

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Jan 2: Term summary, von-Neuman's uniqueness

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Jan 9: Presenting path integrals

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Pricing of options

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Term 2 course description

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First page of Telfer's paper

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Plans

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Constants and units according to Encarta

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Constants and units according to Encarta (2)

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Constants and units according to Encarta (3)

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Jan 16: Path integrals to canonical quantization

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Feb 19: Energy levels from uncertainty

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Feb 23: Lehavi on planetary orbits

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Feb 23: Lehavi on planetary orbits (2)

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Feb 23: Lehavi on planetary orbits (3)

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Kepler's laws

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Feb 27: Bohr's model, basic E&M

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March 2: More E&M, Schroedinger's hydrogen atom

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March 6: more Schroedinger, SO(3)

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117 of Apr 27, 1994: Rotations and spin

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117 of Apr 27, 1994: Rotations and spin (2)

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March 9: Irreps of SO(3)

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March 13: Irreps of SO(3), solving Schroedinger's hydrogen atom

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March 16: Schroedinger's hydrogen atom, errors

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March 16: Schroedinger's hydrogen atom, errors (2)

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March 20: The errors

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March 30: Klein-Gordon and towards Dirac

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Apr 6: Clifford algebras

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Apr 10: Dirac's equation

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Apr 13: Dirac's equation

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May 1: Dirac's equation

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May 4: Dirac's equation

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First page of Bjorken & Drell, Sections 1 & 4

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