Analytical mechanics for relativity and quantum mechanics /
Oliver Davis Johns.
- Second edition.
- xxii, 629 pages : illustrations (black and white) ; 25 cm
- Oxford graduate texts .
- Oxford graduate texts. .
Previous edition: 2005.
Includes bibliographical references and index.
Basic dynamics of point particles and collections -- Introduction to Lagrangian mechanics -- Lagrangian theory of constraints -- Introduction to Hamiltonian mechanics -- The calculus of variations -- Hamilton's principle -- Linear operators and dyadics -- Kinematics of rotation -- Rotational dynamics -- Small vibrations about equilibrium -- Central Force Motion -- Scattering -- Lagrangian mechanics with time as a coordinate -- Hamiltonian mechanics with time as a coordinate -- Hamilton's principle and Noether's theorem -- Relativity and spacetime -- Fourvectors and operators -- Relativistic mechanics -- Canonical transformations -- Generating functions -- Hamilton-Jacobi theory -- Angle-Action Variables -- Vector fundamentals -- Matrices and determinants -- Eigenvalue problem with general metric -- The calculus of many variables -- Geometry of phase space.