index Mechanics

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

  1. THE EQUATIONS OF MOTION
  1. Generalized co-ordinates
  2. The principle of least action
  3. Galileos’s relativity principle
  4. The Lagrangian for a free particle
  5. The Lagrangian for a system of particles
  1. CONSERVATION LAWS
  1. Energy
  2. Momentum
  3. Centre of mass
  4. Angular momentum
  5. Mechanical similarity
  1. INTEGRATION OF THE EQUATIONS OF MOTION
  1. Motion in one dimension
  2. Determination of the potential energy from the period of oscillation
  3. The reduced mass
  4. Motion in a central field
  5. Kepler’s problem
  1. COLLISION BETWEEN PARTICLES
  1. Disintegration of particles
  2. Elastic collisions

🚧 WORK IN PROGRESS BELOW THIS POINT 🚧

  1. Scattering
  2. Rutherford’s formula
  3. Small-angle scattering
  1. SMALL OSCILLATIONS
  1. Free oscillations in one dimension
  2. Forced oscillations
  3. Oscillations of systems with more than one degree of freedom
  4. Vibrations of molecules
  5. Damped oscillations
  6. Forced oscillations under friction
  7. Parametric resonance
  8. Anharmonic oscillations
  9. Resonance in non-linear oscillations
  10. Motion in a rapidly oscillating field
  1. MOTION OF A RIGID BODY
  1. Angular velocity
  2. The inertia tensor
  3. Angular momentum of a rigid body
  4. The equations of motion of a rigid body
  5. Eulerian angles
  6. Euler’s equations
  7. The asymmetrical top
  8. Rigid bodies in contact
  9. Motion in a non-inertial frame of reference
  1. THE CANONICAL EQUATIONS
  1. Hamilton’s equations
  2. The Routhian
  3. Poisson brackets
  4. The action as a function of the co-ordinates
  5. Maupertuis’ principle
  6. Canonical transformations
  7. Liouville’s theorem
  8. The Hamilton-Jacobi equation
  9. Separation of the variables
  10. Adiabatic invariants
  11. General properties of motion in s dimensions