04042nam a22004335i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001000153072001700163072002300180072001600203100008200219245019700301250001800498264006900516300004200585336002600627337002600653338003600679347002400715505098000739520151301719650001703232650002103249650003403270650003503304650003103339650002403370710003403394773002603428776003603454776003603490776003603526856004603562978-3-031-61407-1DE-He21320251030113247.0cr nn 008mamaa241027s2024    sz |    s    |||| 0|eng d  a97830316140717 a10.1007/978-3-031-61407-12doi 4aQC178 7aPHDV2bicssc 7aSCI0330002bisacsh 7aPHDV2thema1 aPoliakovsky, Arkady.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut14aThe Laws of Gravity and Electromagnetismh[electronic resource] :bA Non-relativistic Model Invariant Under the Change of Inertial and Non-inertial Coordinate Systems /cby Arkady Poliakovsky.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXV, 641 p. 1 illus.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 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.  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. 0aGravitation. 0aElectrodynamics. 0aGeneral relativity (Physics).14aClassical and Quantum Gravity.24aClassical Electrodynamics.24aGeneral Relativity.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303161406408iPrinted edition:z978303161408808iPrinted edition:z978303161409540uhttps://doi.org/10.1007/978-3-031-61407-1