A measurement of the group velocity of scintillation light in liquid argon
M. Babicz, S. Bordoni, A. Fava, U. Kose, M. Nessi, F. Pietropaolo, G.L. Raselli, F. Resnati, M. Rossella, P. Sala, F. Stocker, A. Zani
Abstract
Using elements of symmetry, as gauge invariance, aspects of field theories represented in symplectic space are introduced and analyzed under physical bases. The states of a system are described by symplectic wave functions, which are associated with the Wigner function. Such wave functions are vectors in a Hilbert space introduced from the cotangent-bundle of the Minkowski space. The symplectic Klein-Gordon and the Dirac equations are derived, and a minimum coupling is considered in order to analyze the Landau problem in phase space.
Topics & Concepts
Symplectic geometryPhysicsPhase spaceMinkowski spaceHilbert spaceGroup (periodic table)Dirac (video compression format)Gauge (firearms)Space (punctuation)Group velocitySymplectic groupQuantum mechanicsField (mathematics)Phase (matter)Coupling (piping)Gauge theoryVector fieldOrder (exchange)ScintillationMathematical analysisGroup delay and phase delayWave functionQuantum electrodynamicsMathematical physicsWave equationSymplectic integratorClassical mechanicsInterference (communication)OpticsStanding waveDark Matter and Cosmic PhenomenaAtomic and Subatomic Physics ResearchAstrophysics and Cosmic Phenomena