THEORETICAL ATOMIC PHYSICS
CONTENTS REVIEW OF QUANTUM MECHANICS WAVE FUNCTIONS AND EQUATIONS OF MOTION STATES AND WAVE FUNCTIONS LINEAR OPERATORS AND OBSERVABLES THE HAMILTONIAN AND EQUATIONS OF MOTION SYMMETRIES CONSTANTS OF MOTION AND SYMMETRIES THE RADIAL SCHR¨ODINGER EQUATION EXAMPLE: THE RADIALLY SYMMETRIC HARMONIC OSCILLATOR BOUND STATES AND UNBOUND STATES BOUND STATES UNBOUND STATES EXAMPLES NORMALIZATION OF UNBOUND STATES PROCESSES INVOLVING UNBOUND STATES WAVE PACKETS TRANSMISSION AND RE?ECTION TIME DELAYS AND SPACE SHIFTS RESONANCES AND CHANNELS CHANNELS FESHBACH RESONANCES POTENTIAL RESONANCES METHODS OF APPROXIMATION TIME-INDEPENDENT PERTURBATION THEORY RITZ’S VARIATIONAL METHOD SEMICLASSICAL APPROXIMATION INVERSE POWER-LAW POTENTIALS ANGULAR MOMENTUM AND SPIN ADDITION OF ANGULAR MOMENTA SPIN SPIN-ORBIT COUPLING PROBLEMS REFERENCES ATOMS AND IONS ONE-ELECTRON SYSTEMS THE HYDROGEN ATOM HYDROGENIC IONS THE DIRAC EQUATION RELATIVISTIC CORRECTIONS TO THE SCHR¨ODINGER EQUATION MANY-ELECTRON SYSTEMS THE HAMILTONIAN PAULI PRINCIPLE AND SLATER DETERMINANTS THE SHELL STRUCTURE OF ATOMS CLASSI?CATION OF ATOMIC LEVELS THE N-ELECTRON PROBLEM THE HARTREE-FOCK METHOD CORRELATIONS AND CON?GURATION INTERACTION THE THOMAS?FERMI MODEL DENSITY FUNCTIONAL METHODS ELECTROMAGNETIC TRANSITIONS TRANSITIONS IN GENERAL, “GOLDEN RULE” THE ELECTROMAGNETIC FIELD INTERACTION BETWEEN ATOM AND FIELD EMISSION AND ABSORPTION OF PHOTONS SELECTION RULES OSCILLATOR STRENGTHS, SUM RULES ATOMIC SPECTRA LONG-RANGED AND SHORTER-RANGED POTENTIALS VERY-LONG-RANGED POTENTIALS SHORTER-RANGED POTENTIALS THE TRANSITION FROM A FINITE NUMBER TO IN?NITELY MANY BOUND STATES, INVERSE-SQUARE TAILS EXAMPLE: TRUNCATED DIPOLE SERIES IN THE H?ION ONE ELECTRON IN A MODI?ED COULOMB POTENTIAL RYDBERG SERIES, QUANTUM DEFECTS SEATON’S THEOREM, ONE-CHANNEL QUANTUM DEFECT THEORY PHOTOABSORPTION UND PHOTOIONIZATION COUPLED CHANNELS CLOSE-COUPLING EQUATIONS AUTOIONIZING RESONANCES CON?GURATION INTERACTION, INTERFERENCE OF RESONANCES PERTURBED RYDBERG SERIES MULTICHANNEL QUANTUM DEFECT THEORY (MQDT) TWO COUPLED COULOMB CHANNELS THE LU-FANO PLOT MORE THAN TWO CHANNELS ATOMS IN EXTERNAL FIELDS ATOMS IN A STATIC, HOMOGENEOUS ELECTRIC FIELD ATOMS IN A STATIC, HOMOGENEOUS MAGNETIC FIELD ATOMS IN AN OSCILLATING ELECTRIC FIELD SIMPLE REACTIONS ELASTIC SCATTERING ELASTIC SCATTERING BY A SHORTER-RANGED POTENTIAL MEAN SCATTERING LENGTHS NEAR-THRESHOLD FESHBACH RESONANCES SEMICLASSICAL DESCRIPTION OF ELASTIC SCATTERING ELASTIC SCATTERING BY A PURE COULOMB POTENTIAL ELASTIC SCATTERING BY A MODI?ED COULOMB POTENTIAL, DWBA FESHBACH PROJECTION OPTICAL POTENTIAL SPIN AND POLARIZATION CONSEQUENCES OF SPIN-ORBIT COUPLING APPLICATION TO GENERAL PURE SPIN STATES APPLICATION TO MIXED SPIN STATES INELASTIC SCATTERING GENERAL FORMULATION COUPLED RADIAL EQUATIONS THRESHOLD E?ECTS AN EXAMPLE EXIT CHANNELS WITH TWO UNBOUND ELECTRONS APPLICATION TO ELECTRONS EXAMPLE THRESHOLD BEHAVIOUR OF IONIZATION CROSS SECTIONS SPECIAL TOPICS MULTIPHOTON ABSORPTION EXPERIMENTAL OBSERVATIONS ON MULTIPHOTON IONIZATION CALCULATING IONIZATION PROBABILITIES VIA VOLKOV STATES CALCULATING IONIZATION PROBABILITIES VIA FLOQUET STATES CLASSICAL TRAJECTORIES AND WAVE PACKETS PHASE SPACE DENSITIES COHERENT STATES COHERENT WAVE PACKETS IN REAL SYSTEMS REGULAR AND CHAOTIC DYNAMICS IN ATOMS CHAOS IN CLASSICAL MECHANICS TRACES OF CHAOS IN QUANTUM MECHANICS SEMICLASSICAL PERIODIC ORBIT THEORY SCALING PROPERTIES FOR ATOMS IN EXTERNAL FIELDS BOSE-EINSTEIN CONDENSATION IN ATOMIC GASES QUANTUM STATISTICS OF FERMIONS AND BOSONS THE E?ECT OF INTERACTIONS IN BOSE-EINSTEIN CONDENSATES REALIZATION OF BOSE-EINSTEIN CONDENSATION IN ATOMIC GASES SOME ASPECTS OF ATOM OPTICS ATOM-WALL INTERACTIONS EVANESCENT-WAVE MIRRORS QUANTUM RE?ECTION A SPECIAL MATHEMATICAL FUNCTIONS A 1 LEGENDRE POLYNOMIALS, SPHERICAL HARMONICS A 2 LAGUERRE POLYNOMIALS A 3 GAMMA FUNCTION A 4 BESSEL FUNCTIONS A 5 WHITTAKER FUNCTIONS, COULOMB FUNCTIONS SOLUTIONS TO THE PROBLEMS