PRINCIPLES OF QUANTUM SCATTERING THEORY

By LINDA JACKSON

PART I THE SELECTED MAIN PRINCIPLES AND THE BASIC THEORETICAL FRAMEWORKS FOR A NON-RELATIVISTIC QUANTUM-MECHANICAL THEORY OF SCATTERING A INTRODUCTION B THE MAIN PHYSICAL FEATURES OF COLLISION PROBLEMS C UNIVERSALITY OF THE SCATTERING PROBLEM 1 THE KEY FEATURES OF QUANTUM SYSTEMS AND THE KATO CONDITIONS 2 TIME EVOLUTION OF QUANTUM SYSTEMS 3 THE SCHRÖDINGER PICTURE 4 THE HEISENBERG PICTURE 5 THE DIRAC PICTURE 6 THE DYSON PERTURBATION EXPANSION OF THE EVOLUTION OPERATOR 7 TIME-DEPENDENT SCATTERING THEORY 8 TIME-INDEPENDENT SCATTERING THEORY 9 THE PROBLEM OF ASYMPTOTIC CONVERGENCE OF SCATTERING STATES 10 THE PRINCIPLE OF DETAILED BALANCE CONTENTS 11 CONVERGENCE OF SERIES OF OPERATORS, STATE VECTORS AND MATRIX ELEMENTS 12 RECAPITULATION OF THE SELECTED MAIN PRINCIPLES OF QUANTUM SCATTERING THEORY 13 SUMMARY TO PART I PART II SELECTED APPLICATIONS OF NON-RELATIVISTIC QUANTUM SCATTERING THEORY TO ENERGETIC INELASTIC COLLISIONS OF IONS WITH ATOMS 14 THE PHYSICS OF DOUBLE SCATTERINGS 15 THE LEADING EXPERIMENTAL METHODS FOR DOUBLE SCATTERINGS 16 THE TWO MAIN THEORETICAL FRAMEWORKS FOR ION–ATOM COLLISIONS FROM LOW TO HIGH ENERGIES 17 BASIC MECHANISMS BEHIND ELEMENTARY ATOMIC PROCESSES 18 DIRECT MOMENTUM MATCHING 19 INDIRECT MOMENTUM MATCHING 20 DYNAMIC ELECTRON CORRELATIONS 21 THOMAS DOUBLE SCATTERINGS OF THE ACTIVE ELECTRON WITH TWO ATOMIC NUCLEI 22 THE IMPULSE HYPOTHESIS 23 DRAWBACKS OF THE CONTINUUM DISTORTED WAVE METHOD AND ITS ‘DERIVATIVES’ 24 COULOMB–BORN-TYPE METHODS FOR ELECTRON DETACHMENT 25 A VARIATIONAL UNIFICATION OF LOW- AND HIGH-ENERGY METHODS 26 THOMAS-LIKE DIELECTRONIC SCATTERINGS IN TRANSFER IONIZATION 27 PROJECTILE AND TARGET MERGED COLD BEAMS FOR HIGHLY CORRELATED EVENTS 28 THOMAS DOUBLE SCATTERINGS OF ATOMS IN ION–MOLECULE COLLISIONS 29 COLLISIONS OF COLD IONS AND BOSE–EINSTEIN CONDENSATES 30 FUNDAMENTAL REASONS FOR THE EQUIVALENCE BETWEEN THE CLASSICAL THOMAS SUCCESSIVE BINARY COLLISIONS AND QUANTAL DOUBLE SCATTERINGS 31 MULTIPLE IONIZATION IN FAST ION–ATOM AND ION–MOLECULE COLLISIONS 32 RECAPITULATION ON DOUBLE SCATTERING MECHANISMS 33 THE REASONS FOR THE INADEQUACY OF THE STANDARD IMPULSE APPROXIMATION 34 THE REFORMULATED IMPULSE APPROXIMATION (RIA) 35 AN ANALYTICAL CALCULATION OF THE MAIN SCATTERING INTEGRAL 36 CORRELATED ELECTRONIC DYNAMICS AT ALL ENERGIES 37 CORRECT LINKS BETWEEN SCATTERED WAVES AND TRANSITION OPERATOR POTENTIALS 38 ILLUSTRATIONS 39 SUMMARY TO PART II 40 OUTLOOK REFERENCES