Problems March 2026

List of problems

My solutions to problems from Landau–Lifshitz and other textbooks.


LL1 Mechanics
Chapter I
Chapter II

§ Energy

§ COM

§ Angular momentum

§ Mechanical similarity

Chapter III

§ Motion in 1D

§ Reduced mass

§ Motion in central field

  • Problem 1
  • Problem 2
  • Problem 3

§ Kepler problem

  • Problem 1
  • Problem 2
  • Problem 3
Chapter IV

§ Disintegration

  • Problem 1
  • Problem 2

§ Elastic

  • Problem

§ Scattering

  • Problem 1
  • Problem 2
  • Problem 3
  • Problem 4
  • Problem 5
  • Problem 6
  • Problem 7

§ Rutherford

  • Problem 1
  • Problem 2

§ Small-angle scattering

  • Problem 1
  • Problem 2
Chapter V

§21. Free oscillations in one dimension

Chapter VI

§32. The inertia tensor

§35. Eulerian angles

  • Problem 1
  • Problem 2
  • Problem 3

§37. The asymmetrical top

  • Problem 1
  • Problem 2

§38. Rigid bodies in contact

  • Problem 1
  • Problem 2
  • Problem 3
  • Problem 4

§39. Motion in a non-inertial frame of reference

Chapter VII

§40. Hamilton's equations

§41. The Routhian

  • Problem

§42. Poisson brackets

§44. Maupertuis' principle

§48. Separation of the variables

  • Problem 1
  • Problem 2

§50. Canonical variables

  • Problem

§51. Accuracy of conservation of the adiabatic invariant

  • Problem 1
  • Problem 2

§52. Conditionally periodic motion

  • Problem
LL2 The Classical Theory of Fields
Chapter I

§6 Four-vectors

  • Problem 1

§7 Four-dimensional velocity

  • Problem 1
Chapter II

§11. Decay of particles

  • Problem 1
  • Problem 2
  • Problem 3
  • Problem 4
  • Problem 5
  • Problem 6

§12 Invariant cross section

  • Problem 1

§17. Equations of motion of a charge in a field

§21. Motion in a constant uniform magnetic field

LL3 Quantum Mechanics
Chapter II

§11. Matrices

§15. Momentum

  • Problem 1
  • Problem 2
Chapter III

§22. The potential well

  • Problem 1
  • Problem 2
  • Problem 3

§25. The transmission coefficient

Chapter V

§36. Motion in a Coulomb field

LL5 Statistical Physics, Part 1
Chapter II

§15. The free energy and the thermodynamic potential

§24. The dependence of the thermodynamic quantities on the number of particles

  • Problem
Chapter III

§29. The Maxwellian distribution

§31. The free energy in the Gibbs distribution

Chapter IV

§38. The Boltzmann distribution in classical statistics

§39. Molecular collisions

§42. The equation of state of an ideal gas

LL6 Fluid Mechanics
Chapter I

§2 Euler's equation

§8 The conservation of circulation

  • Problem 1

§10 Incompressible fluids

  • Problem 1
  • Problem 2
  • Problem 3
  • Problem 4
  • Problem 5
  • Problem 6
  • Problem 7
  • Problem 8
  • Problem 9
LL7 Theory of elasticity
Chapter I

§7. The equations for equilibrium for isotropic bodies

§8. Equilibrium of an elastic medium bounded by a plane

  • Problem 1

§9. Solid bodies in contact

  • Problem 1
  • Problem 2

§10. The elastic properties of crystals

  • Problem 1

§12. The equation of equilibrium for a plate

  • Problem 1
  • Problem 2
  • Problem 3
  • Problem 4
  • Problem 5
  • Problem 6
LL8 Electrodynamics of Continuous Media
Chapter I

§2. The energy of the electrostatic field of conductors

LL9 Statistical Physics, Part 2

To be added.

LL10 Physical Kinetics
Chapter III — Collisionless plasmas

§30. Landau damping

§31. Permittivity of a Maxwellian plasma

Kozel Collected Problems in Physics (S. Kozel)

To be added.

Irodov General Problems in Physics (I. E. Irodov)

Reflections on Irodov.

Chapter II — THERMODYNAMICS AND MOLECULAR PHYSICS

To be added.

Motivation

Solve every problem in every core textbook because it has to be done.

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