English

Analytical Mechanics and Field Theory

Classical Physics 2025-03-24 v1 High Energy Physics - Phenomenology

Abstract

Lecture notes for a one-semester master-level course on analytical mechanics and classical field theory, covering: 0 Mathematical Introduction, 1 Lagrangian Mechanics, 2 Application: Motion in Central Fields, 3 Hamiltonian Mechanics, 4 Application: Oscillations of Mechanical Systems, 5 Application: Relativistic Mechanics, 6 Geometry of Classical Mechanics, 7 Application: Dynamics of Rigid Bodies, 8 Lagrangian and Hamiltonian Mechanics of Continuous Systems, 9 Application: Elasticity of Solids, 10 Symmetries and Conservation Laws, 11 Application: Fluid Dynamics, 12 Application: Electrodynamics

Keywords

Cite

@article{arxiv.2503.16568,
  title  = {Analytical Mechanics and Field Theory},
  author = {Tomas Brauner},
  journal= {arXiv preprint arXiv:2503.16568},
  year   = {2025}
}

Comments

313 pages, 39 figures, uses Springer's svmono style

R2 v1 2026-06-28T22:28:51.725Z