Quantum Measurement of Gravity for Geodesists and Geophysicists (Springer Geophysics)

Preface
Contents
1 Recalls of Classical Mechanics
	1.1 Introduction
	1.2 From Newton to Lagrange
	1.3 From Lagrange to Hamilton
	1.4 Poisson Parentheses
	1.5 Canonical Transformations. Conjugate Variables
	1.6 Dynamic Systems with Generalized Potentials
	References
2 Recalls of the Classical Theory  of the Electromagnetic Field
	2.1 Introduction
	2.2 Maxwell Equations and Lorentz Equation
	2.3 Electromagnetic Waves in Empty Space
	2.4 Wave Packets
	2.5 Electromagnetic Potentials, Lorentz Gauge
	2.6 Energy Conservation
	2.7 Momentum Conservation
	References
3 The Crisis of Classical Physics  and the Dawn of Quantum Physics
	3.1 Introduction
	3.2 The Untenable Planetary Model of the Atom
	3.3 The Birth of Quanta
	3.4 The Electromagnetic Radiation Behaves Like a Flow of Particles
	3.5 The Quantized Atom of Niels Bohr
	3.6 Overcoming the Dualism Waves–Particles. …
	3.7 The Heisenberg Indetermination Principle
	References
4 The Principles of Quantum Mechanics
	4.1 Introduction
	4.2 A Theorem on Fourier Transform
	4.3 Some Facts About Hermitian Operators in Hilbert Spaces
	4.4 A More Precise Formulation of Seven Principles  of Quantum Mechanics
	4.5 The Time Evolution of a Quantum State: Schrödinger Equation
	4.6 Stationary States; Constants of Motion
	References
5 First Applications of Quantum Theory
	5.1 Introduction
	5.2 The Free Particle
	5.3 The Hydrogen Atom as an Example
	5.4 The Quantum Theory of Angular Momentum
	5.5 First-Order Spectral Analysis of Static Perturbations …
	5.6 The Zeeman Effect, the Spin, and the Atomic Spectrum
	5.7 Time-Dependent Perturbations of the Hamiltonian
	References
6 The Quantum Measurement of Gravity
	6.1 Introduction
	6.2 The Dipole Approximation of the Optical Radiation—Atom Interaction
	6.3 Rabi Equation
	6.4 Adding Momentum Exchange to the Atom–Photon Interaction
	6.5 The Atom Interferometry and the Measurement of g- .4
	6.6 Complements and Improvements
	6.7 Results and Perspectives
	References