LEADER 04042nam 22007095 450 001 9910739464403321 005 20230629193212.0 010 $a3-030-69105-5 024 7 $a10.1007/978-3-030-69105-9 035 $a(CKB)4100000011949991 035 $a(MiAaPQ)EBC6633367 035 $a(Au-PeEL)EBL6633367 035 $a(OCoLC)1253477471 035 $a(DE-He213)978-3-030-69105-9 035 $a(PPN)255883285 035 $a(EXLCZ)994100000011949991 100 $a20210529d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Development of the Action Principle $eA Didactic History from Euler-Lagrange to Schwinger /$fby Walter Dittrich 205 $a1st ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021. 215 $a1 online resource (141 pages) 225 1 $aSpringerBriefs in Physics,$x2191-5431 311 $a3-030-69104-7 327 $aShort Historical Introduction -- Curva Elastica -- The Curva Elastica, a Curve of Least Energy -- From Euler to Lagrange -- Laplace and the Capillary - 1807 -- A Final Application in Elasticity with Jacobi Elliptic Functions -- Short List of Jacobi Elliptic Functions and Constants Used in Chapter 5 -- Variational Methods for Periodic Motions; Mathieu Functions -- Lagrangian for Isentropic Irrotational Flow -- Action Principle in Classical Electrodynamics -- The Two Giants in Gravity: Einstein and Hilbert -- The Quantum Action Principle -- The Action Principle in Quantum Field Theory -- Quantum Field Theory on Space-Like Hypersurfaces -- Lagrangian Formulation of Gauge Theories -- Effective Actions (Lagrangians) in Quantum Field Theory -- Modified Photon Propagation Function, Source Theory. 330 $aThis book describes the historical development of the principle of stationary action from the 17th to the 20th centuries. Reference is made to the most important contributors to this topic, in particular Bernoullis, Leibniz, Euler, Lagrange and Laplace. The leading theme is how the action principle is applied to problems in classical physics such as hydrodynamics, electrodynamics and gravity, extending also to the modern formulation of quantum mechanics and quantum field theory, especially quantum electrodynamics. A critical analysis of operator versus c-number field theory is given. The book contains many worked examples. In particular, the term "vacuum" is scrutinized. The book is aimed primarily at actively working researchers, graduate students and historians interested in the philosophical interpretation and evolution of physics; in particular, in understanding the action principle and its application to a wide range of natural phenomena. 410 0$aSpringerBriefs in Physics,$x2191-5431 606 $aMechanics 606 $aPhysics?History 606 $aMathematical physics 606 $aParticles (Nuclear physics) 606 $aQuantum field theory 606 $aPhysics?Philosophy 606 $aClassical Mechanics 606 $aHistory of Physics and Astronomy 606 $aMathematical Physics 606 $aElementary Particles, Quantum Field Theory 606 $aPhilosophical Foundations of Physics and Astronomy 615 0$aMechanics. 615 0$aPhysics?History. 615 0$aMathematical physics. 615 0$aParticles (Nuclear physics) 615 0$aQuantum field theory. 615 0$aPhysics?Philosophy. 615 14$aClassical Mechanics. 615 24$aHistory of Physics and Astronomy. 615 24$aMathematical Physics. 615 24$aElementary Particles, Quantum Field Theory. 615 24$aPhilosophical Foundations of Physics and Astronomy. 676 $a530.1209 700 $aDittrich$b Walter$046017 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910739464403321 996 $aThe Development of the Action Principle$92005655 997 $aUNINA