The Interaction of Spin with Gravity in Particle Physics: Low Energy Quantum Gravity

Table of ContentsIntroductionChapter 1 - Quantum Systems In Gravitational Fields1.1 Introduction1.2 Wave equations1.2.1 The Schroedinger equation1.2.2 The Klein-Gordon Equation1.2.3 Spin-1 equations1.2.4 Spin-gravity coupling for spin-1 particles1.2.5 The Dirac equation in curved space-time1.2.6 The Geometry of a Rotating Body: The Lense-Thirring metric1.2.7 Vierbeins for accelerating and rotating systems1.2.8 The generally covariant Dirac equation1.2.9 Spin-2 Particles in Gravitational Fields1.2.10 Solution of the spin-2 wave equation1.2.11 Helicity-gravity coupling and geometrical optics1.3 The e ect of space-time curvature on Hilbert Space. Berry phaseChapter 2 - Applications2.1 Introduction2.1.1 Superconductors2.1.2 Gravitational waves and super uids2.1.3 Gravitational red-shift2.1.4 Schwarzschild metric2.1.5 Lense-Thirring eld of Earth2.1.6 Bound states of ultra cold neutrons in Earth's gravitational eld2.2 Spin-rotation coupling2.2.1 Spin-rotation coupling in muon g-2 experiments2.2.2 Spin-rotation coupling and limits on P and T invariance2.3 Spin-rotation coupling in compound spin objects2.4 Interferometers in various metrics2.4.1 Interferometer in the eld of Earth2.4.2 Rotation2.4.3 The Lense-Thirring e ect for quantum systems2.5 Zitterbewegung and gravitational Berry phase2.5.1 Dirac and Klein-Gordon equations2.6 Wave optics2.7 Helicity precession of fermions in gravitational elds2.8 Chirality precession of fermions in gravitational elds2.9 Space-times with torsion2.9.1 Spin- ip transition in spacetimes with torsionChapter 3 - Neutrinos in Gravitational Fields3.1 Introduction3.1.1 Neutrino helicity oscillations3.1.2 Helicity oscillations in a medium3.1.3 Neutrino avour oscillations3.2 Neutrino Optics3.3 Helicity Transition Induced by Gravitational Fields3.4 Neutrino Flavour Oscillations3.5 Neutrino Lensing3.6 Spin-Gravity Coupling of Neutrinos with Primordial Gravitational Waves3.7 Pulsar KickChapter - 4 Radiative Processes, Spin Currents, Vortices4.1 Radiative Processes4.2 Spin Currents in Gravitational Fields4.3 Vortices4.3.1 Spin- 1/2 fermionsChapter 5 - Other developments5.1 Scalar-Pseudoscalar Coupling And The Search For Axions5.2 Axion Electrodynamics5.3 The Extended Bargmann-Michel-Telegdi ModelConclusionsUnits and Fundamental ConstantsBibliography