Quantics

Preface. 1. The Quantum Regime. Quantics today. The quantum constant. Limits of validity of classical physics and the need for a quantum physics. Quantum order of magnitude. Some open problems. Exercises. 2. Quantons. The concepts of classical physics. The new entities. The new concepts. Exercises. 3. Quantum Magnitudes and the Heisenberg Inequalities. Spectral extensions and classical wave pockets. The Heisenberg inequalities: eigen states and eigen values. Applications. Exercises. 4. Probabilities and Quantum Amplitudes. The polarization of light. Transition probabilities and physical magnitudes. Probability amplitudes. Rules for calculating quantum amplitudes. The diffraction of neutrons. Exercises. 5. Quantons in Space and Time. The time dependence of quantum amplitudes. Localization amplitudes and wave functions. Amplitudes and effective scattering cross-sections, quantons ``in motion'', Exercises. 6. Steps, Wells, Barriers and Battlements (flat potentials). Flat potential. The infinite flat well. A potential step. The finite flat well. The ``tunnel'' effect. The double well. The battlement-like potential. Theory of band-structure. Exercises. 7. Collective Behaviour: Identical Quantons. Composite systems. Systems of two identical quantons. Systems of N identical quantons. Fermions. Bosons. The number-phase inequality and the classical limit. A new duality? Exercises. Subject index.