Table of Contents
Introduction
Chapter 1 - Quantum Systems In Gravitational Fields
1.1 Introduction
1.2 Wave equations
1.2.1 The Schroedinger equation
1.2.2 The Klein-Gordon Equation
1.2.3 Spin-1 equations
1.2.4 Spin-gravity coupling for spin-1 particles
1.2.5 The Dirac equation in curved space-time
1.2.6 The Geometry of a Rotating Body: The Lense-Thirring metric
1.2.7 Vierbeins for accelerating and rotating systems
1.2.8 The generally covariant Dirac equation
1.2.9 Spin-2 Particles in Gravitational Fields
1.2.10 Solution of the spin-2 wave equation
1.2.11 Helicity-gravity coupling and geometrical optics
1.3 The e ect of space-time curvature on Hilbert Space. Berry phase
Chapter 2 - Applications
2.1 Introduction
2.1.1 Superconductors
2.1.2 Gravitational waves and super uids
2.1.3 Gravitational red-shift
2.1.4 Schwarzschild metric
2.1.5 Lense-Thirring eld of Earth
2.1.6 Bound states of ultra cold neutrons in Earth's gravitational eld
2.2 Spin-rotation coupling
2.2.1 Spin-rotation coupling in muon g-2 experiments
2.2.2 Spin-rotation coupling and limits on P and T invariance
2.3 Spin-rotation coupling in compound spin objects
2.4 Interferometers in various metrics
2.4.1 Interferometer in the eld of Earth
2.4.2 Rotation
2.4.3 The Lense-Thirring e ect for quantum systems
2.5 Zitterbewegung and gravitational Berry phase
2.5.1 Dirac and Klein-Gordon equations
2.6 Wave optics
2.7 Helicity precession of fermions in gravitational elds
2.8 Chirality precession of fermions in gravitational elds
2.9 Space-times with torsion
2.9.1 Spin- ip transition in spacetimes with torsion
Chapter 3 - Neutrinos in Gravitational Fields
3.1 Introduction
3.1.1 Neutrino helicity oscillations
3.1.2 Helicity oscillations in a medium
3.1.3 Neutrino avour oscillations
3.2 Neutrino Optics
3.3 Helicity Transition Induced by Gravitational Fields
3.4 Neutrino Flavour Oscillations
3.5 Neutrino Lensing
3.6 Spin-Gravity Coupling of Neutrinos with Primordial Gravitational Waves
3.7 Pulsar Kick
Chapter - 4 Radiative Processes, Spin Currents, Vortices
4.1 Radiative Processes
4.2 Spin Currents in Gravitational Fields
4.3 Vortices
4.3.1 Spin- 1/2 fermions
Chapter 5 - Other developments
5.1 Scalar-Pseudoscalar Coupling And The Search For Axions
5.2 Axion Electrodynamics
5.3 The Extended Bargmann-Michel-Telegdi Model
Conclusions
Units and Fundamental Constants
Bibliography
G. Lambiase is Professor at the Università di Salerno, Italy. He serves as National Coordinator of the INFN project and Local Coordinator of FARB grant. He has been Member of the local team of the PRIN and of the International Ph.D. in Physics in "Gravitational Physics and Astrophysics" at the University of Salerno, a joint operation with Portsmouth University (GB) and Zurich University (CH). He also has served as Adviser at the International Institute for Advanced Scientific Studies, Vietri sul Mare, Italy. His main fields of interest are quantum field theory, general theories of gravity, astroparticles, astrophysics and cosmology.
G. Papini is Professor emeritus at the University of Regina, Canada, as well as Professor and Head of that same schools Physics Department. He is Adviser at the International Institute for Advanced Scientific Studies, Vietri sul Mare, Italy; the Institute of Field Physics, University of North Carolina, Chapel Hill, N.C. USA; and the Institute for Advanced Studies, Dublin, Ireland. His main fields of interest are the interaction of gravity with quantum systems, the general theory of relativity and relativistic theories of gravitation.
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