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020 _a9783031614071
_9978-3-031-61407-1
024 7 _a10.1007/978-3-031-61407-1
_2doi
050 4 _aQC178
072 7 _aPHDV
_2bicssc
072 7 _aSCI033000
_2bisacsh
072 7 _aPHDV
_2thema
100 1 _aPoliakovsky, Arkady.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_986681
245 1 4 _aThe Laws of Gravity and Electromagnetism
_h[electronic resource] :
_bA Non-relativistic Model Invariant Under the Change of Inertial and Non-inertial Coordinate Systems /
_cby Arkady Poliakovsky.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXV, 641 p. 1 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aIntroduction -- Notations and preliminaries -- Transformations of scalar and vector elds under the change of inertial or noninertial cartesian coordinate system -- Gravity revised -- Maxwell equations revised -- Maxwell equations in non-inertial cartesian coordinate systems -- Scalar and vectorial electromagnetic potentials -- Lagrangian of the Electromagnetic eld -- Local gravitational time and Maxwell equations in a non-rotating coordinate system -- Motion of particles in external gravitational-electromagnetic eld -- Relation between the gravitational and inertial masses and conservation laws -- Lagrangian of the unied Gravitational-Electromagnetic eld -- Covariant formulation of the physical laws in the four-dimensional non-relativistic space-time -- Relativistic-like Dirac equation -- Thermodynamics of a moving continuum medium -- Maxwell equations in the presence of Dielectrics and/or Magnetics -- Some further consequences of Maxwell equations -- Appendix.
520 _aIn this book the author derives, under the classical non-relativistic consideration of the space-time, general forms of the most common physical laws invariant under the changes of inertial or non-inertial coordinate systems, both in the Classical and the Quantum regime. Some important examples of such invariant Physical Laws are the Maxwell Equations, the Newtonian gravity as well as several more complicated models of gravity and many other Physical Laws including many Laws of Quantum Mechanics, Thermodynamics and Statistical Physics, Continuum Mechanics, Optics et. al. Moreover, several basic Laws of Relativistic Physics, both in the classical and Quantum levels can be still formulated invariant under the non-relativistic consideration of the space-time, like the Classical Relativistic Second Law of Newton and Quantum Dirac and Klein--Gordon equations for relativistic particles, including their interaction with the outer gravitational field. In particular, we introduce the Hamiltonian formulation of the Dirac equation, and moreover, we were able to formulate the Dirac equation for multiple particles, similarly to what was done for the Schroedinger equation of the Non-relativistic Quantum Mechanics. One of the goals of this work is the general self-contained and simple mathematical formulation of the most general Physical Laws in a manner understandable to the reader familiar only with basic calculus, Classical Mechanics and some basic elements of non-relativistic Quantum Mechanics.
650 0 _aGravitation.
650 0 _aElectrodynamics.
_965587
650 0 _aGeneral relativity (Physics).
650 1 4 _aClassical and Quantum Gravity.
_969409
650 2 4 _aClassical Electrodynamics.
_965590
650 2 4 _aGeneral Relativity.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031614064
776 0 8 _iPrinted edition:
_z9783031614088
776 0 8 _iPrinted edition:
_z9783031614095
856 4 0 _uhttps://doi.org/10.1007/978-3-031-61407-1
912 _aZDB-2-PHA
912 _aZDB-2-SXP
999 _c64530
_d64530