04049nam 22007095 450 991073946440332120230629193212.03-030-69105-510.1007/978-3-030-69105-9(CKB)4100000011949991(MiAaPQ)EBC6633367(Au-PeEL)EBL6633367(OCoLC)1253477471(DE-He213)978-3-030-69105-9(PPN)255883285(EXLCZ)99410000001194999120210529d2021 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierThe Development of the Action Principle A Didactic History from Euler-Lagrange to Schwinger /by Walter Dittrich1st ed. 2021.Cham :Springer International Publishing :Imprint: Springer,2021.1 online resource (141 pages)SpringerBriefs in Physics,2191-54313-030-69104-7 Short 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.This 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.SpringerBriefs in Physics,2191-5431MechanicsPhysics—HistoryMathematical physicsElementary particles (Physics)Quantum field theoryPhysics—PhilosophyClassical MechanicsHistory of Physics and AstronomyMathematical PhysicsElementary Particles, Quantum Field TheoryPhilosophical Foundations of Physics and AstronomyMechanics.Physics—History.Mathematical physics.Elementary particles (Physics).Quantum field theory.Physics—Philosophy.Classical Mechanics.History of Physics and Astronomy.Mathematical Physics.Elementary Particles, Quantum Field Theory.Philosophical Foundations of Physics and Astronomy.530.1209Dittrich Walter46017MiAaPQMiAaPQMiAaPQBOOK9910739464403321The Development of the Action Principle2005655UNINA