Quantum Measurement of Gravity for Geodesists and Geophysicists: Fid-Bau Portal

Quantum Measurement of Gravity for Geodesists and Geophysicists

Sansò, Fernando / Migliaccio, Federica

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.