Preface
Contents
Acronyms
1 Quantum Systems in Gravitational Fields. Berry Phases
1.1 Introduction
1.2 The Effect of Space–Time Curvature on Hilbert Space. Berry Phase
1.3 Wave Equations
1.3.1 The Schroedinger Equation. Superfluids
1.3.2 The Klein–Gordon Equation
1.3.3 Spin-1 Equations
1.3.4 The Dirac Equation in Curved Space–Time
1.3.5 The Lense–Thirring Metric
1.3.6 Spin-2 Particles in Gravitational Fields
2 The Mashhoon Effect. Spin-Gravity Interactions
2.1 Introduction
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 Helicity Precession of Fermions in Gravitational Fields
2.5 Chirality Precession of Fermions in Gravitational Fields
3 Interferometers in Gravitational Fields
3.1 Introduction
3.1.1 Superconductors
3.1.2 Gravitational Waves and Superfluids
3.2 Interferometers in Various Metrics
3.2.1 Interferometer in the Field of Earth
3.2.2 Rotation
3.2.3 The Lense–Thirring Effect for Quantum Systems
3.3 Wave Optics
4 Neutrinos in Gravitational Fields
4.1 Introduction
4.1.1 Neutrino Helicity Oscillations
4.1.2 Helicity Oscillations in a Medium
4.1.3 Neutrino Flavour Oscillations: The Effect of Neutrino's Travel Time
4.2 Neutrino Optics
4.3 Helicity Transitions Induced by Gravitational Fields
4.4 Neutrino Flavour Oscillations
4.5 Neutrino Lensing
4.6 Spin-Gravity Coupling Of Neutrinos with Primordial Gravitational Waves
4.7 Pulsar Kick
5 Neutrinos Physics: Further Topics
5.1 Introduction—The Standard Model
5.2 General Aspects of Neutrino Spin-Flavour and Spin-Flip
5.2.1 The Equation of Evolution in Curved Space–Time
5.2.2 Relativistic Effects Near a Static Star
5.2.3 Relativistic Effects Near a Rotating Star
5.3 Spin Oscillations of Neutrinos Scattered Off a Rotating Black Hole
5.4 Lensing and Oscillations Probability
5.4.1 Gravitational Lensing of Neutrinos in Schwarzschild Space–Time
6 Radiative Processes, Spin Currents, Vortices
6.1 Radiative Processes
6.2 Spin Currents in Gravitational Fields
6.3 Vortices
6.3.1 Spin-12 Fermions
6.4 Zitterbewegung and Gravitational Berry Phase
7 Other Developments
7.1 Scalar–Pseudoscalar Coupling and the Search for Axions
7.2 Axion Electrodynamics
7.3 The Extended Bargmann–Michel–Telegdi Model
7.4 Space–Times with Torsion
7.4.1 Spin-Flip Transitions in Space–Times with Torsion
7.4.2 More About Torsion
7.5 Axions and Berry Phase
8 Perspectives
8.1 The Gravitational-Wave Memory Effect
8.2 Quantum Wave Equations and Quasi-normal Modes
8.3 Conclusions
9 Conclusions
A Natural Units and Conventions
B Dirac Matrices
C Neutrino Oscillations in Flat and Curved Space–Time
D Dirac Hamiltonians in the Low-Energy Approximation
D.1 Low-Energy Approximation
E Fermion Helicity Flip in Weak Gravitational Fields
Index