000 | 04001nam a22005415i 4500 | ||
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001 | 978-3-031-02079-7 | ||
003 | DE-He213 | ||
005 | 20240730164116.0 | ||
007 | cr nn 008mamaa | ||
008 | 220601s2020 sz | s |||| 0|eng d | ||
020 |
_a9783031020797 _9978-3-031-02079-7 |
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024 | 7 |
_a10.1007/978-3-031-02079-7 _2doi |
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072 | 7 |
_aTBD _2bicssc |
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_aTEC016000 _2bisacsh |
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072 | 7 |
_aTBD _2thema |
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_a620.0042 _223 |
100 | 1 |
_aLand, Martin. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _982173 |
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245 | 1 | 0 |
_aRelativistic Classical Mechanics and Electrodynamics _h[electronic resource] / _cby Martin Land, Lawrence P. Horwitz. |
250 | _a1st ed. 2020. | ||
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2020. |
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300 |
_aXI, 124 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aSynthesis Lectures on Engineering, Science, and Technology, _x2690-0327 |
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505 | 0 | _aPreface -- Symbols -- Conceptual Approaches to Spacetime -- Canonical Relativistic Mechanics -- Classical Electrodynamics -- Problems in Electrostatics and Electrodynamics -- Advanced Topics -- Authors' Biographies. | |
520 | _aThis book presents classical relativistic mechanics and electrodynamics in the Feynman-Stueckelberg event-oriented framework formalized by Horwitz and Piron. The full apparatus of classical analytical mechanics is generalized to relativistic form by replacing Galilean covariance with manifest Lorentz covariance and introducing a coordinate-independent parameter ���� to play the role of Newton's universal and monotonically advancing time. Fundamental physics is described by the ����-evolution of a system point through an unconstrained 8D phase space, with mass a dynamical quantity conserved under particular interactions. Classical gauge invariance leads to an electrodynamics derived from five ����-dependent potentials described by 5D pre-Maxwell field equations. Events trace out worldlines as ���� advances monotonically, inducing pre-Maxwell fields by their motions, and moving under the influence of these fields. The dynamics are governed canonically by a scalar Hamiltonian that generates evolution of a 4D block universe defined at ���� to an infinitesimally close 4D block universe defined at ����+��������. This electrodynamics, and its extension to curved space and non-Abelian gauge symmetry, is well-posed and integrable, providing a clear resolution to grandfather paradoxes. Examples include classical Coulomb scattering, electrostatics, plane waves, radiation from a simple antenna, classical pair production, classical CPT, and dynamical solutions in weak field gravitation. This classical framework will be of interest to workers in quantum theory and general relativity, as well as those interested in the classical foundations of gauge theory. | ||
650 | 0 |
_aEngineering design. _93802 |
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650 | 0 |
_aMaterials. _97549 |
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650 | 0 |
_aProfessional education. _941513 |
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650 | 0 |
_aVocational education. _941514 |
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650 | 1 | 4 |
_aEngineering Design. _93802 |
650 | 2 | 4 |
_aMaterials Engineering. _932311 |
650 | 2 | 4 |
_aProfessional and Vocational Education. _941516 |
700 | 1 |
_aHorwitz, Lawrence P. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _982174 |
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710 | 2 |
_aSpringerLink (Online service) _982175 |
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773 | 0 | _tSpringer Nature eBook | |
776 | 0 | 8 |
_iPrinted edition: _z9783031001512 |
776 | 0 | 8 |
_iPrinted edition: _z9783031009518 |
776 | 0 | 8 |
_iPrinted edition: _z9783031032073 |
830 | 0 |
_aSynthesis Lectures on Engineering, Science, and Technology, _x2690-0327 _982176 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-02079-7 |
912 | _aZDB-2-SXSC | ||
942 | _cEBK | ||
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