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| * <<la(L14-Kepler-and-Many-Body.pdf","Lecture 14, Nov. 10")>>: Kepler problem and many particle system. | * Lecture 17: Coupled oscillators. [[/L17/Qs|Qs]] * <<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)")>>.-~ * <<la(L14-Kepler-and-Many-Body.pdf,"Lecture 14, Nov. 10")>>: Kepler problem and many particle system. |
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| * ~-<<color("Correction: page 2, $L_{M} \rightarrow L_{cm}$.")>>-~ | |
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| * ~-Page numbers corrected.-~ — [[Sam]], ~-''<<DateTime(2011-10-25T14:25:34-0700)>>''-~ | * ~-<<color(Page numbers corrected.)>>-~ — [[Sam]], ~-''<<DateTime(2011-10-25T14:25:34-0700)>>''-~ |
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| * 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)>>''-~ | * ~-<<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)>>''-~ |
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| * <<la(A01-Perturbation.pdf,"A1: Perturbation")>>. Page 5 and examples are important. | * <<la(A01-Perturbation.pdf,"A1: Perturbation")>>. * Page 5 and examples are important. |
Lecture notes
Lecture 17: Coupled oscillators. Qs
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).
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)
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.