Lagrangian Interaction: An Introduction To Relativistic Symmetry In Electrodynamics And GravitationCRC Press, 8 mrt 2018 - 592 pagina's This book is an introduction to Lagrangian mechanics, starting with Newtonian physics and proceeding to topics such as relativistic Lagrangian fields and Lagrangians in General Relativity, electrodynamics, Gauge theory, and relativistic gravitation. The mathematical notation used is introduced and explained as the book progresses, so it can be understood by students at the undergraduate level in physics or applied mathmatics, yet it is rigorous enough to serve as an introduction to the mathematics and concepts required for courses in relativistic quantum field theory and general relativity. |
Inhoudsopgave
Tensor fields in Euclidean spacetime | |
Spacetime kinematics and Galilean relativity | |
Newtonian mechanics | |
Newtonian gravity | |
EulerLagrange equations of motion | |
Poincaré transformations | |
Tensor fields in Minkowskian spacetime | |
Einsteinian mechanics | |
Relativistic Lagrangian fields | |
Relativistic scalar gravity | |
Maxwells equations | |
Electrodynamics | |
Gauge principle | |
Overige edities - Alles bekijken
Lagrangian Interaction: An Introduction To Relativistic Symmetry In ... Noel Doughty Geen voorbeeld beschikbaar - 1990 |
Veelvoorkomende woorden en zinsdelen
3-vector action angular momentum antisymmetric arbitrary boost chiral classical components conserved constant coordinates corresponding covariant derivatives described determine dimensions Dirac field Einstein Einsteinian electric charge electrodynamics electromagnetic field electron energy energy-momentum tensor equations of motion equivalent Euclidean space Euler-Lagrange equations example Exercise field equations field theory frame function fundamental Galilean invariant Galilean relativity gauge freedom gauge invariance gravitational field gravitational interaction Hamiltonian identity implies independent inertial kinematic Klein-Gordon Lagrangian density laws Lorentz Lorentz transformation magnetic massless mathematical matrix Maxwell's equations mechanical system nature Newton Newtonian gravity Noether charge non-quantum observed parameter parity particle photon Phys Poincaré postulate potential Principle of relativity propagation properties quantities quantization quarks referred relativistic Relativity principle result rotation scalar field Show spacetime spatial special relativity speed spin spinor symmetry time-reversal trajectory transformation translation variables variation vector velocity wave μν