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| Under construction. | = Lecture notes = * <<la(L19-IT-Nonlinear-Physics.pdf, "Lecture 19, Dec. 1")>>: Inertia tensors and non-linear physics. * ~-<<color("One correction in page 12")>>-~: $\omega_N \rightarrow \omega_N^2$. * <<ln(http://pages.physics.cornell.edu/~myers/teaching/ComputationalMethods/ComputerExercises/PythonSoftware/AnimateDoublePendulum.py,"source code (python) for the double pendulum demo")>>. * <<la(L18-CO-Rigid-Body.pdf, "Lecture 18, Nov. 29")>>: Coupled Oscillator examples and rigid body. * ~-<<color("One correction in page 4")>>.-~ Thanks, IL! * ~-<<color("Two corrections in page 9")>>.-~ Thanks, NS! * <<la(L17-CO-Example.pdf,"Lecture 17, Nov. 22")>>: Coupled oscillators. ([[/L17/Qs|Qs]]) * ~-<<color("One correction in page 3")>>.-~ Thanks, MD! * <<la(L16-Coupled-Oscillators.pdf,"Lecture 16, Nov. 17")>>: Coupled oscillators. * ~-<<color("Some footnotes and several sentences added.", green)>>-~ — [[Sam]], ~-''<<DateTime(2011-11-18T11:15:53-0700)>>''-~ * <<la(L15-Scattering.pdf,"Lecture 15, Nov. 15")>>: Collisions, impact parameter, crossection. * ~-<<color("'Typically but not always,' added in page 7 (red)")>>.-~ * ~-<<color("'short' added in page 1 (red)")>>.-~ Thanks, PW! * <<la(L14-Kepler-and-Many-Body.pdf,"Lecture 14, Nov. 10")>>: Kepler problem and many particle system. * <<la(L13-Central-Force-Kepler+.pdf,"Lecture 13, Nov. 8")>>: Kepler problem. ([[/L13/Qs|Qs]]) * ~-<<color("Correction: page 2, $L_{M} \rightarrow L_{cm}$.")>>-~ * <<la(L12-Gravity.pdf,"Lecture 12, Nov. 3")>>: Gravity. ([[/L12/Qs|Qs]]) * <<la(L11-LwC-H-Gravity+.pdf,"Lecture 11, Nov. 1")>>: Lagrangian with constraint, Effective potential, Gravity. * <<la(L10-H-and-LwC.pdf,"Lecture 10, Oct. 25")>>: Hamiltonian. Lagrangian with constraint. ([[/L10/Qs|Qs]]) * <<la(L09-Sym-Cons+.pdf,"Lecture 9, Oct. 20")>>: Symmetry and conservation. Momentum and angular momentum. ([[/L09/Qs|Qs]]) * ~-<<color("One correction in page 4")>>.-~ Thanks, NS! * <<la(L08-PoLA+.pdf,"Lecture 8, Oct. 18")>>: Principle of least action. (<<la(GF-w-Sols.pdf,"Green's function method -- solutions")>>) * ~-<<color(Page numbers corrected.)>>-~ — [[Sam]], ~-''<<DateTime(2011-10-25T14:25:34-0700)>>''-~ * <<la(L07-Driven-SHO.pdf,"Lecture 7, Oct. 13")>>: Driven oscillations. ([[/L07/Qs|Qs]]) * <<la(L06-Small-Oscillations.pdf,"Lecture 6, Oct. 11")>>: Small oscillations, free or damped. ([[/L06/Qs|Qs]]) * <<la(L05-Conservations-1D-Motion.pdf,"Lecture 5, Oct. 6")>>: Conservation principles and 1D motions. * <<la(L04-Lorentz-Force.pdf,"Lecture 4, Oct. 4")>>: Lorentz force. ([[/L04/Qs|Qs]]) * Read footnote 3, to clear up the confusion for the number of integration constants. * When we consider the time-reversal symmetry of this problem, we do not reverse the direction of $\vec{B}$, taking it as given. If we can reverse the direction of $\vec{B}$ as well as the direction of the particle's motion, then the time reversal symmetry would be valid. Read end of page 4, to see why sometimes $\vec{B}$ is not reversible. * <<la(L03-Perturbation-and-Air-Resistance.pdf,"Lecture 3, Sep. 29")>>: Perturbation. Air resistance. ([[/L03/Qs|Qs]]) * ~-<<color("Correction: Page 8, a new box on perturbation expansion. 2/3 → 1/3 in 3 lines above the box.")>>-~ — [[Sam]], ~-''<<DateTime(2011-10-04T13:04:22-0700)>>''-~ * <<la(L02-Newtons-Laws.pdf,"Lecture 2, Sep. 27")>>: Newton's laws. Air resistance. ([[/L02/Qs|Qs]]) * <<la(L01-Intro.pdf,"Lecture 1, Sep. 22")>>: What to learn? Particles, dimensions. Vectors and (orthogonal) matrices. = Appendices = * <<la(A01-Perturbation.pdf,"A1: Perturbation")>>. * Page 5 and examples are important. * ~-<<color("Correction: Page 8, $gt$ → $g$ for the first term in the equation for $\dot{v}$ from 2nd order and higher.")>>-~ Thanks, JW. You will get 10 % "LN debug bonus" on the current homework (#8). — [[Sam]], ~-''<<DateTime(2011-11-23T01:45:47-0700)>>''-~ * <<la(A02-Trig.pdf,"A2: Essential trig identities")>>. |
Lecture notes
Lecture 19, Dec. 1: Inertia tensors and non-linear physics.
One correction in page 12: $\omega_N \rightarrow \omega_N^2$.
Lecture 18, Nov. 29: Coupled Oscillator examples and rigid body.
One correction in page 4. Thanks, IL!
Two corrections in page 9. Thanks, NS!
Lecture 17, Nov. 22: Coupled oscillators. (Qs)
One correction in page 3. Thanks, MD!
Lecture 16, Nov. 17: Coupled oscillators.
Some footnotes and several sentences added. — Sam, 11:15AM, Nov 18, 2011
Lecture 15, Nov. 15: Collisions, impact parameter, crossection.
'Typically but not always,' added in page 7 (red).
'short' added in page 1 (red). Thanks, PW!
Lecture 14, Nov. 10: Kepler problem and many particle system.
Lecture 13, Nov. 8: Kepler problem. (Qs)
Correction: page 2, $L_{M} \rightarrow L_{cm}$.
Lecture 12, Nov. 3: Gravity. (Qs)
Lecture 11, Nov. 1: Lagrangian with constraint, Effective potential, Gravity.
Lecture 10, Oct. 25: Hamiltonian. Lagrangian with constraint. (Qs)
Lecture 9, Oct. 20: Symmetry and conservation. Momentum and angular momentum. (Qs)
One correction in page 4. Thanks, NS!
Lecture 8, Oct. 18: Principle of least action. (Green’s function method – solutions)
Page numbers corrected. — Sam, 2:25PM, Oct 25, 2011
Lecture 7, Oct. 13: Driven oscillations. (Qs)
Lecture 6, Oct. 11: Small oscillations, free or damped. (Qs)
Lecture 5, Oct. 6: Conservation principles and 1D motions.
Lecture 4, Oct. 4: Lorentz force. (Qs)
- Read footnote 3, to clear up the confusion for the number of integration constants.
When we consider the time-reversal symmetry of this problem, we do not reverse the direction of $\vec{B}$, taking it as given. If we can reverse the direction of $\vec{B}$ as well as the direction of the particle's motion, then the time reversal symmetry would be valid. Read end of page 4, to see why sometimes $\vec{B}$ is not reversible.
Lecture 3, Sep. 29: Perturbation. Air resistance. (Qs)
Correction: Page 8, a new box on perturbation expansion. 2/3 → 1/3 in 3 lines above the box. — Sam, 1:04PM, Oct 04, 2011
Lecture 2, Sep. 27: Newton's laws. Air resistance. (Qs)
Lecture 1, Sep. 22: What to learn? Particles, dimensions. Vectors and (orthogonal) matrices.
Appendices
- Page 5 and examples are important.
Correction: Page 8, $gt$ → $g$ for the first term in the equation for $\dot{v}$ from 2nd order and higher. Thanks, JW. You will get 10 % "LN debug bonus" on the current homework (#8). — Sam, 1:45AM, Nov 23, 2011