CONCEPTS OF HIGHLY EXCITED ELECTRONIC SYSTEMS
CONTENTS THE TWO-BODY KEPLER PROBLEM: A CLASSICAL TREATMENT QUANTUM MECHANICS OF TWO-BODY COULOMB SYSTEMS HISTORICAL BACKGROUND GROUP THEORETICAL APPROACH TO THE TWO-BODY PROBLEM THE BOUND SPECTRUM EIGENSTATES OF TWO CHARGED-PARTICLE SYSTEMS THE TWO-BODY COULOMB WAVE FUNCTIONS SPHERICAL COORDINATES PARABOLIC COORDINATES ANALYTICAL CONTINUATION OF THE TWO-BODY COULOMB WAVE FUNCTIONS ONE PARTICLE IN AN ARBITRARY POTENTIAL THE VARIABLE-PHASE METHOD PHASE-AMPLITUDE EQUATIONS FOR NON-LOCAL POTENTIALS THE LOCAL POTENTIAL CASE NUMERICAL CONSIDERATIONS THE SCATTERING AMPLITUDE REPRESENTATION ILLUSTRATIVE EXAMPLES GROUND STATES OF MANY-ELECTRON SYSTEMS TIME-SCALE SEPARATION HARTREE-FOCK APPROXIMATION BASIS SET EXPANSION CON?GURATION INTERACTION THE COUPLED CLUSTER METHOD VARIATIONAL AND DIFFUSION MONTE CARLO TECHNIQUES DENSITY FUNCTIONAL THEORY THE HOHENBERG-KOHN THEOREM THE KOHN-SHAM EQUATIONS THE LOCAL DENSITY APPROXIMATION GRADIENT CORRECTIONS IMPLICIT ORBITAL FUNCTIONALS SELF-INTERACTION CORRECTIONS EXTENSIONS OF DFT ELECTRONIC EXCITATIONS ELECTRIC DIPOLE TRANSITIONS SINGLE-PHOTOELECTRON EMISSION ONE-ELECTRON PHOTOEMISSION FROM UNPOLARIZED TARGETS SINGLE PHOTOEMISSION FROM POLARIZED TARGETS GENERAL PROPERTIES OF EMITTED DIPOLE RADIATION SYMMETRY PROPERTIES OF MANY-BODY PHOTOEXCITATIONS PROPENSITY RULES FOR THE DICHROISM IN MULTIPLE PHOTOIONIZATION RESONANT PHOTOEXCITAIONS PROCESSES SINGLE CHANNEL MULTI-CHANNEL RESONANT PHOTOEXCITATIONS FEW-BODY RESONANCES REGULARITIES AND CLASSI?CATIONS OF DOUBLY EXCITED STATES COMPLEX ROTATION METHOD TWO-ELECTRONS SYSTEMS AT THE COMPLETE FRAGMENTATION THRESHOLD: WANNIER THEORY CLASSICAL MECHANICS OF TWO EXCITED ELECTRONS AT THE DOUBLE ESCAPE THRESHOLD WANNIER THRESHOLD LAW: A CLASSICAL APPROACH REMARKS ON THE CLASSICAL TREATMENT OF TWO ELECTRONS AT THRESHOLD QUANTUM MECHANICS OF MANY-ELECTRON SYSTEMS AT THE DOUBLE ESCAPE THRESHOLD GENERALITIES OF MANY-ELECTRON THRESHOLD ESCAPE CROSS SECTION DEPENDENCE ON THE NUMBER OF ESCAPING PARTICLES STRUCTURE OF THE TOTAL POTENTIAL SURFACE FOR N ELECTRON SYSTEMS QUANTUM MECHANICS OF N ELECTRONS AT LOW KINETIC ENERGIES QUANTAL CALCULATIONS OF THE UNIVERSAL THRESHOLD BEHAVIOUR INCORPORATION OF SYMMETRY AND SPIN IN MANY-PARTICLE WAVE FUNCTIONS HIGHLY EXCITED STATES OF MANY-BODY SYSTEMS GENERAL REMARKS ON THE STRUCTURE OF THE N PARTICLE SCHRÖDINGER EQUATION THE FOCK EXPANSION THE KATO CUSP CONDITIONS BOUNDARY CONDITIONS FOR THE N-BODY PROBLEM THE THREE-BODY COULOMB SYSTEM APPROPRIATE COORDINATE SYSTEMS SEPARATION OF INTERNAL AND EXTERNAL COORDINATES SPHERICAL POLAR COORDINATES HYPERSPHERICAL COORDINATES RELATIVE COORDINATES ELLIPTIC COORDINATES COORDINATE SYSTEMS FOR CONTINUUM PROBLEMS JACOBI COORDINATES PARABOLIC-RELATIVE COORDINATES PARABOLIC-HYPERSPHERICAL COORDINATES APPROXIMATE THREE-BODY STATES AND THE PARABOLIC-RELATIVE COORDINATES ASYMPTOTIC PROPERTIES OF THE THREE-BODY WAVE EQUATION DYNAMICAL SCREENING IN FEW-BODY SYSTEMS TWO ELECTRONS IN THE ?ELD OF A POSITIVE ION DYNAMICAL SCREENING VIA COMPLEX EFFECTIVE WAVE VECTORS THRESHOLD BEHAVIOUR KATO CUSP CONDITIONS COMPATIBILITY WITH THE FOCK EXPANSION PARABOLIC-HYPERSPHERICAL APPROACH PARABOLIC-HYPERSPHERICAL SCHRÖDINGER EQUATION PARABOLIC-HYPERSPHERICAL ADIABATIC EXPANSION THREE-BODY WAVE FUNCTIONS WITH MIXED BOUNDARY CONDITIONS ASYMPTOTIC STATES OF TWO BOUND ELECTRONS PARTIAL-WAVE DECOMPOSITION OF THREE-BODY WAVE FUNCTIONS EXPANSION OF COULOMB WAVE FUNCTIONS IN SPHERICAL HARMONICS PARTIAL WAVE EXPANSION OF APPROXIMATE THREE-BODY WAVE FUNCTIONS THREE-BODY S STATES PARTIAL-WAVE EXPANSION OF TWO-CENTER COULOMB FUNCTIONS 10 CORRELATED CONTINUUM STATES OF N SYSTEMS 10 1 THE INTERACTING ELECTRON GAS 10 2 EXCITED STATES OF N INTERACTING ELECTRONS 10 2 1 FORMAL DEVELOPMENT 10 2 2 NORMALIZING THE N-BODY WAVE FUNCTIONS 10 2 3 THE TWO-BODY CUSP CONDITIONS 11 GREEN’S FUNCTION APPROACH AT ZERO TEMPERATURES 11 1 DE?NITIONS AND GENERAL REMARKS ON THE GREEN’S FUNCTIONS 11 1 1 THE TRANSITION (T) OPERATOR 11 1 2 THE MØLLER AND THE SCATTERING (S) OPERATORS 11 1 3 TRANSITION PROBABILITIES AND CROSS SECTIONS 11 2 THE COULOMB PROBLEM IN MOMENTUM SPACE 11 3 THE COULOMB TWO-BODY GREEN’S FUNCTIONS 11 4 THE OFF-SHELL T-MATRIX 11 4 1 THE ON-SHELL LIMIT OF THE COULOMB T MATRIX ELEMENTS 12 OPERATOR APPROACH TO ?NITE MANY-BODY SYSTEMS 12 1 FADDEEV APPROACH TO THE THREE-BODY PROBLEM 12 1 1 THE LOVELACE OPERATOR, LOVELACE EQUATIONS AND AGS EQUATIONS 12 2 REDUCTION SCHEME OF THE GREEN’S OPERATOR OF N-PARTICLE SYSTEMS 12 3 THERMODYNAMICS OF INTERACTING N-PARTICLE SYSTEMS 12 4 INCREMENTAL PRODUCT EXPANSION OF THE MANY-BODY GREEN’S FUNCTION 12 4 1 EXPANSION OF THE GREEN’S OPERATOR OF UNCORRELATED CLUSTERS 12 4 2 GREEN’S OPERATOR EXPANSION OF CORRELATED ?NITE SYSTEMS 12 4 3 REMARKS ON THE APPLICABILITY TO COULOMB POTENTIALS 12 5 PATH-INTEGRAL MONTE-CARLO METHOD 13 FINITE CORRELATED SYSTEMS IN A MULTI-CENTER POTENTIAL 13 1 SINGLE-PARTICLE SCATTERING FROM A MULTI-CENTER POTENTIAL 13 1 1 SCATTERING-PATH FORMALISM 13 1 2 SCATTERING OF CORRELATED COMPOUNDS FROM MULTI-CENTER POTENTIALS 14 EXCITATIONS IN EXTENDED ELECTRONIC SYSTEMS 14 1 TIME-DEPENDENT SINGLE-PARTICLE GREEN’S FUNCTIONS 14 2 GREEN’S FUNCTION APPROACH TO EXCITATIONS IN EXTENDED ELECTRONIC SYSTEMS 14 2 1 SINGLE-PARTICLE GREEN’S FUNCTIONS FOR EXTENDED SYSTEMS 14 2 2 THE SELF-ENERGY CONCEPT 14 2 3 HEDIN EQUATIONS AND THE GW APPROXIMATION 14 3 TWO-BODY GREEN’S FUNCTIONS 14 3 1 THE POLARIZATION PROPAGATOR 14 3 2 PARTICLE-PARTICLE AND HOLE-HOLE PROPAGATORS 14 3 3 SINGLE AND MANY-PARTICLE PHOTOELECTRON CURRENTS