2.5 KiB
2.5 KiB
| title | subtitle |
|---|---|
| Mechanics | Course of Theoretical Physics, Volume 1 By L. D. Landau and E. M. Lifschitz Translated from the Russian by J. B. Sykes and J. S. Bell |
I. THE EQUATIONS OF MOTION
- Generalized co-ordinates
- The principle of least action
- Galileos's relativity principle
- The Lagrangian for a free particle
- The Lagrangian for a system of particles II. CONSERVATION LAWS
- Energy
- Momentum
- Centre of mass
- Angular momentum
- Mechanical similarity
III. INTEGRATION OF THE EQUATIONS OF MOTION 11. Motion in one dimension
🚧 WORK IN PROGRESS BELOW THIS POINT 🚧- Determination of the potential energy from the period of oscillation
- The reduced mass
- Motion in a central field
- Kepler's problem IV. COLLISION BETWEEN PARTICLES
- Disintegration of particles
- Elastic collisions
- Scattering
- Rutherford's formula
- Small-angle scattering V. SMALL OSCILLATIONS
- Free oscillations in one dimension
- Forced oscillations
- Oscillations of systems with more than one degree of freedom
- Vibrations of molecules
- Damped oscillations
- Forced oscillations under friction
- Parametric resonance
- Anharmonic oscillations
- Resonance in non-linear oscillations
- Motion in a rapidly oscillating field VI. MOTION OF A RIGID BODY
- Angular velocity
- The inertia tensor
- Angular momentum of a rigid body
- The equations of motion of a rigid body
- Eulerian angles
- Euler's equations
- The asymmetrical top
- Rigid bodies in contact
- Motion in a non-inertial frame of reference VII. THE CANONICAL EQUATIONS
- Hamilton's equations
- The Routhian
- Poisson brackets
- The action as a function of the co-ordinates
- Maupertuis' principle
- Canonical transformations
- Liouville's theorem
- The Hamilton-Jacobi equation
- Separation of the variables
- Adiabatic invariants
- General properties of motion in
sdimensions