Lagrangian Interaction: An Introduction To Relativistic Symmetry In Electrodynamics And GravitationThis 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. |
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Inhoudsopgave
Euclidean geometry | |
Tensor fields in Euclidean spacetime | |
Spacetime kinematics and Galilean relativity | |
Newtonian mechanics | |
Newtonian gravity | |
EulerLagrange equations of motion | |
Tensor fields in Minkowskian spacetime | |
Einsteinian mechanics | |
Relativistic Lagrangian fields | |
Relativistic scalar gravity | |
Maxwells equations | |
Electrodynamics | |
Gauge principle | |
Relativistic gravitation | |
Nonrelativistic Lagrangian fields | |
Hamiltonian dynamics | |
Poincaré transformations | |
Appendices | |
Symmetries and Noethers theorem | |
Overige edities - Alles weergeven
Lagrangian Interaction: An Introduction To Relativistic Symmetry In ... Noel Doughty Geen voorbeeld beschikbaar - 1990 |
Veelvoorkomende woorden en zinsdelen
4-momentum 4-vector action angular momentum antisymmetric arbitrary boost bosons chiral classical components conserved constant coordinates corresponding covariant derivatives described dimensions Dirac equation Dirac field Dirac spinor dynamical Einstein Einsteinian electric charge electrodynamics electromagnetic field electron energy energy-momentum tensor equations of motion equivalent Euclidean Euler-Lagrange equations example Exercise factor field equations first-order fundamental Galilean relativity gauge freedom gauge invariance gravitational field Hamilton’s Hamiltonian identity independent intervals involving Klein-Gordon equation Lagrangian density laws linear Lorentz transformation magnetic massless matrix Maxwell’s equations mechanical Minkowskian spacetime namely nature Newton’s Newtonian gravity Noether non-quantum non-relativistic non-zero null observed obtain parameter parity particle Phys physics Poincaré potential propagation proper properties quantities quantization referred relativistic Relativity principle respect result rotation satisfy scalar field Schrödinger second-order Show space spacelike spatial special relativity speed spin 12 symmetry trajectory translation variables variation vector velocity wave function zero
Bibliografische gegevens
| Titel | Lagrangian Interaction: An Introduction To Relativistic Symmetry In Electrodynamics And Gravitation |
| Auteur | Noel Doughty |
| Uitgever | CRC Press, 2018 |
| ISBN | 0429973160, 9780429973161 |
| Lengte | 592 pagina's |
| Citatie exporteren | BiBTeX EndNote RefMan |