Quantum Measurement of Gravity for Geodesists and Geophysicists Intro 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.