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Classical field theory and the stress-energy tensor /
Classical Field Theory and the Stress-Energy Tensor (Second Edition) is an introduction to classical field theory and the mathematics required to formulate and analyze it.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :
IOP Publishing,
[2022]
|
| Edición: | Second edition. |
| Colección: | IOP (Series). Release 22.
IOP ebooks. 2022 collection. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 024 | 7 | |a 10.1088/978-0-7503-3455-6 |2 doi | |
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| 082 | 0 | 4 | |a 530.14 |2 23 |
| 100 | 1 | |a Swanson, Mark S., |d 1947- |e author. | |
| 245 | 1 | 0 | |a Classical field theory and the stress-energy tensor / |c Mark S. Swanson. |
| 250 | |a Second edition. | ||
| 264 | 1 | |a Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : |b IOP Publishing, |c [2022] | |
| 300 | |a 1 online resource (various pagings) : |b illustrations. | ||
| 336 | |a text |2 rdacontent | ||
| 337 | |a electronic |2 isbdmedia | ||
| 338 | |a online resource |2 rdacarrier | ||
| 490 | 1 | |a [IOP release $release] | |
| 490 | 1 | |a IOP ebooks. [2022 collection] | |
| 500 | |a "Version: 20220401"--Title page verso. | ||
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | |a 1. Geometry and physics -- 1.1. Manifolds -- 1.2. Coordinate systems -- 1.3. The Jacobian -- 1.4. Contravariant and covariant quantities -- 1.5. The summation convention -- 1.6. Vectors and direction vectors -- 1.7. Vector addition and the scalar product -- 1.8. The metric tensor and distance in manifolds -- 1.9. The metric tensor and raising and lowering indices -- 1.10. General tensors and tensor densities -- 1.11. Trajectories and tangent spaces -- 1.12. The vector product -- 1.13. The gradient -- 1.14. The divergence, the Laplacian, and the curl -- 1.15. Differential forms and the wedge product -- 1.16. Differential forms and Stokes' theorem -- 1.17. The Lie derivative | |
| 505 | 8 | |a 2. Newtonian mechanics and functional methods -- 2.1. Newton's second law -- 2.2. Newtonian trajectories and tangent vectors -- 2.3. Newton's first law and Galilean relativity -- 2.4. Functionals and the calculus of variations -- 2.5. The action approach to Newtonian mechanics | |
| 505 | 8 | |a 3. Basic field theory -- 3.1. The mechanical properties of a stretched string -- 3.2. The stretched string as a field theory -- 3.3. The Euler-Lagrange equation for the stretched string -- 3.4. Solving the Euler-Lagrange equation -- 3.5. Galilean relativity and wave solutions -- 3.6. Momentum and energy in field theories -- 3.7. The stress-energy tensor -- 3.8. Static sources and Green's function techniques -- 3.9. The catenary, the Beltrami identity, and constraints -- 3.10. Functional derivatives and Poisson brackets | |
| 505 | 8 | |a 4. Newtonian fluid dynamics -- 4.1. Fluid flow from Newtonian physics -- 4.2. The equation of continuity -- 4.3. Viscosity -- 4.4. The Navier-Stokes equation and the stress-energy tensor -- 4.5. Basic solutions to the Navier-Stokes equation -- 4.6. Homentropic flow -- 4.7. The action formulation for homentropic flow -- 4.8. The homentropic stress-energy tensor -- 4.9. The symmetric fluid stress-energy tensor -- 4.10. Fluctuations around solutions and stability -- 4.11. Spherical sound waves, power, and the Doppler effect | |
| 505 | 8 | |a 5. Galilean covariant complex fields -- 5.1. The complex classical nonrelativistic field -- 5.2. The Euler-Lagrange equation and its solutions -- 5.3. Symmetries of the Lagrangian -- 5.4. Galilean covariance -- 5.5. Complex analysis and Cauchy's theorem -- 5.6. Scattering and the Dirac delta potential -- 5.7. Bose-Einstein condensation -- 5.8. Condensate fluctuations -- 5.9. Vortices and the healing length | |
| 505 | 8 | |a 6. Basic special relativity -- 6.1. Maxwell's equations -- 6.2. The problem with electromagnetic waves -- 6.3. Lorentz transformations -- 6.4. Observational effects of special relativity -- 6.5. The Minkowski metric and space-time -- 6.6. Relativistic energy and momentum -- 6.7. Proper velocity and accelerated motion -- 6.8. Relativistic action in the presence of force -- 6.9. Relativistic quantities | |
| 505 | 8 | |a 7. Linear algebra and group theory -- 7.1. Linear algebra and matrices -- 7.2. Basic group theory -- 7.3. SO (3,1) and the Lorentz group -- 7.4. Spinor representations of the Lorentz group | |
| 505 | 8 | |a 8. Scalar and spinor field theories -- 8.1. Classical point particles -- 8.2. Lorentz invariant actions -- 8.3. Relativistic scalar field theory -- 8.4. Classical scalar solutions and broken symmetry -- 8.5. Relativistic spinor fields and quadratic actions -- 8.6. Symmetry and conservation laws | |
| 505 | 8 | |a 9. Classical relativistic electrodynamics -- 9.1. Aspects of Maxwell's equations -- 9.2. The Helmholtz decomposition and the Coulomb potential -- 9.3. The field strength tensor -- 9.4. Electromagnetic fields and the gauge field -- 9.5. Gauge transformations and gauge conditions -- 9.6. Natural units -- 9.7. The gauge field action and minimal coupling -- 9.8. Relativistic point charges and electromagnetic interactions -- 9.9. The stress-energy tensor and electrodynamics -- 9.10. Angular momentum for gauge and spinor fields -- 9.11. Electromagnetic waves and spin -- 9.12. The Proca field -- 9.13. Green's functions and electromagnetic radiation -- 9.14. The gauge field as a differential form -- 9.15. Magnetic monopoles | |
| 505 | 8 | |a 10. General relativity and gravitation -- 10.1. The metric tensor and Einstein's principle of equivalence -- 10.2. The affine connection and the covariant derivative -- 10.3. The curvature tensor -- 10.4. The connection and curvature in differential geometry -- 10.5. Variational techniques in general relativity -- 10.6. The generalized stress-energy tensor -- 10.7. Einstein's field equation -- 10.8. Vacuum solutions to Einstein's equation -- 10.9. Kaluza-Klein theory -- 10.10. Basic cosmology | |
| 505 | 8 | |a 11. Yang-Mills fields and connections -- 11.1. Unitary symmetry and isospin -- 11.2. Nonabelian gauge fields -- 11.3. The Yang-Mills stress-energy tensor and force equation -- 11.4. Spontaneous breakdown of symmetry -- 11.5. Aspects of classical solutions for Yang-Mills fields -- 11.6. Yang-Mills fields, forms, and connections -- 11.7. Spinor fields in general relativity -- 11.8. Yang-Mills fields and the Gribov instability -- 11.9. Classical string theory. | |
| 520 | 3 | |a Classical Field Theory and the Stress-Energy Tensor (Second Edition) is an introduction to classical field theory and the mathematics required to formulate and analyze it. | |
| 521 | |a Advanced undergraduate and graduate level physics courses. | ||
| 530 | |a Also available in print. | ||
| 538 | |a Mode of access: World Wide Web. | ||
| 538 | |a System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader. | ||
| 545 | |a Mark Swanson is currently Emeritus Professor of Physics at the University of Connecticut and lives in Monroe, Connecticut. | ||
| 588 | 0 | |a Title from PDF title page (viewed on May 8, 2022). | |
| 650 | 0 | |a Field theory (Physics) | |
| 650 | 7 | |a Physics. |2 bicssc | |
| 650 | 7 | |a Classical physics. |2 bisacsh | |
| 710 | 2 | |a Institute of Physics (Great Britain), |e publisher. | |
| 776 | 0 | 8 | |i Print version: |z 9780750334532 |
| 830 | 0 | |a IOP (Series). |p Release 22. | |
| 830 | 0 | |a IOP ebooks. |p 2022 collection. | |
| 856 | 4 | 0 | |u https://iopscience.uam.elogim.com/book/978-0-7503-3455-6 |z Texto completo |