COHERENT DYNAMICS OF COMPLEX QUANTUM SYSTEMS
CONTENTS COMPLEX SYSTEMS AND THEIR STATISTICAL DESCRIPTION EXAMPLES OF COMPLEX SYSTEMS MOLECULES AND ATOMS IN LASER FIELDS LASER BREAKING OF A WEAKLY BONDED COMPLEX LASER-INDUCED ELECTRONIC TRANSITIONS IN MOLECULES VIBRATIONAL EXCITATION OF POLYATOMIC MOLECULES TRANSITIONS AMONG LEVELS WITH FINE STRUCTURE EXCITATION OF RYDBERG STATES IN ATOMS COMPETITION OF MULTIPHOTON PROCESSES OF DI?ERENT ORDERS COLLISIONS AND REACTIONS OF MOLECULES COLLISIONAL REDISTRIBUTION OF ENERGY CHEMICAL REACTIONS INTERMOLECULAR CONVERSION AND PHOTOCHEMISTRY RYDBERG MOLECULES SUBTHRESHOLD PHOTOIONIZATION COLLISIONAL IONIZATION ATOMIC AND MOLECULAR CLUSTERS GROUND ELECTRONIC STATE OF HOT METALLIC CLUSTERS OPTICAL PROPERTIES OF CLUSTERS SOME OTHER EXAMPLES ION TRAPS DISORDERED SOLIDS AND SURFACES NONLINEAR OPTICS COOPERATIVE E?ECT MANY-BODY E?ECTS IN COLD RYDBERG GAS TWO-LEVEL AND LEVEL–BAND SYSTEMS TWO-LEVEL SYSTEM LEVEL–BAND SYSTEM GENERAL CONSIDERATION CONTINUOUS BAND MODEL MEASUREMENTS AND RELAXATION AS PROCESSES IN LEVEL–CONTINUUM SYSTEMS LONG-TIME BEHAVIOR GENERAL CONSIDERATION OF THE LONG-TIME LIMIT QUANTUM RECURRENCES QUANTUM REVIVALS FRACTIONAL REVIVALS REVIVALS AND THE CLASSICAL LIMIT POPULATION OF INHOMOGENEOUS BANDS STATISTICALLY INDEPENDENT LEVELS FACTORIZATION OF THE LEVEL POPULATION AND THE ENSEMBLE AVERAGE THE LONG-TIME ASYMPTOTIC TWO-BAND SYSTEM SERIES AND DIAGRAMS FOR THE LEVEL–BAND PROBLEM SERIES AND DIAGRAMS FOR THE TWO-BAND PROBLEM THE RENORMALIZATION NON-DEGENERATE BANDS GENERAL REMARKS AND THE MAIN QUESTIONS DYNAMICS OF THE TOTAL POPULATIONS OF BANDS DI?ERENT BANDS TWO DEGENERATE LEVELS DEGENERATE LEVELS AS A COMPLEX SYSTEM THE BANDS AS AN ENSEMBLE OF TWO-LEVEL SYSTEMS A BAND COUPLED TO A DEGENERATE LEVEL TOTAL POPULATION OF THE BANDS POPULATION DISTRIBUTION OVER THE BAND ROLE OF THE INTERACTION RANK THE ROLE OF CORRELATIONS TWO LEVELS AND A BAND TWO BANDS WITH A CORRELATED COUPLING REGIME OF STABILIZATION FOR THE CORRELATED COUPLING CORRELATION BETWEEN THE MEAN SQUARED COUPLING AND THE ENERGY POSITION SOLUBLE TIME-DEPENDENT SYSTEMS ALGEBRAIC STRUCTURE OF TIME DEPENDENT SYSTEMS TIME-DEPENDENT TWO-LEVEL SYSTEMS LANDAU–ZENER PROBLEM LANDAU–ZENER TRANSITION TO A DECAYING STATE LANDAU–ZENER TRANSITION IN THE PRESENCE OF TRANSVERSAL RELAXATION EXCITATION BY A PULSE EXPONENTIALLY RISING COUPLING SEMICLASSICAL ANALYSIS OF TIME-DEPENDENT SYSTEMS TWO-LEVEL SYSTEMS AND THE DYKHNE FORMULA MULTILEVEL SYSTEMS TIME-DEPENDENT LEVEL–BAND SYSTEM THE DEMKOV–OSHEROV PROBLEM THE LANDAU–ZENER TRANSITION AT THE CONTINUUM EDGE TIME-DEPENDENT COMPLEX SYSTEMS DEGENERATE LEVEL CROSSES AN IN?NITE BAND PERTURBATION PROPORTIONAL TO A RANDOM MATRIX POPULATION DISTRIBUTION RESPONSE TO PERTURBATION PROPORTIONAL TO A RANDOM MATRIX HARMONIC PERTURBATION OF COMPLEX SYSTEMS POPULATION DISTRIBUTION OVER A UNIFORM SPECTRUM RESPONSE OF THE UNIFORM SPECTRUM TO A HARMONIC PERTURBATION TWO-FREQUENCY EXCITATION OF COMPLEX SYSTEMS POPULATION DYNAMICS FOR BI-HARMONIC EXCITATION RESPONSE TO BI-HARMONIC EXCITATION TWO-BAND SYSTEM IN A PERIODIC FIELD DYNAMICS OF TOTAL BAND POPULATIONS POPULATION DISTRIBUTION OVER THE BANDS CONTROL OF COMPLEX QUANTUM SYSTEMS CONTROL OF TWO-LEVEL SYSTEMS HOLONOM AND NON-HOLONOM SYSTEMS CONTROL OF COHERENCE LOSS THE DYNAMICS OF ONE-DIMENSIONAL RELAY-TYPE SYSTEMS EXACTLY SOLUBLE RELAYS OF ISOLATED LEVELS UNIFORM COUPLING AND LINEAR DETUNING THE HARMONIC OSCILLATOR IN AN ARBITRARY TIME-DEPENDENT FIELD RAMAN PUMPING OF A HARMONIC OSCILLATOR THE HARMONIC OSCILLATOR IN THE SIMULTANEOUS PRESENCE OF DIPOLE AND RAMAN PUMPING GENERAL CASE OF AN EXACTLY SOLUBLE RELAY CONDITIONS FOR THE EXISTENCE OF A POLYNOMIAL SOLUTION THE INCREASING COUPLING |VN| = A (N ?B) (N ?C) DECREASING COUPLING |VN| = 1/ ? AN + B SMOOTH VARIATION OF THE PARAMETERS WKB APPROXIMATION POSITION AND WIDTH OF THE ERENFEST WAVEPACKET THE TUNNELING PROBABILITY APPLICABILITY OF THE WKB APPROXIMATION RELAY WITH DISORDERED PARAMETERS ENSEMBLE AVERAGED AMPLITUDES AND CORRESPONDING POPULATIONS ENSEMBLE AVERAGED SPECTRUM DISTRIBUTION OF THE AMPLITUDE RATIOS DISTRIBUTION OF THE POPULATIONS FOR LONG TIMES DYNAMICS OF THE ASYMPTOTIC POPULATIONS FIELD THEORY METHOD FOR DISORDERED SYSTEMS TUNNELING TRANSPARENCY AND CLASSICAL BOSONIC FIELDS AN ANALOGY WITH THE LIOUVILLE EQUATION CLASSICAL FERMIONIC FIELDS FOR THE POPULATION DYNAMICS POPULATION DYNAMICS IN A DISORDERED CHAIN POPULATION DYNAMICS AND PROPAGATING FICTITIOUS PARTICLES MAPPING OVER A PERIOD AND THE ENSEMBLE AVERAGE TIME DEPENDENCE OF THE POPULATION DISTRIBUTION COMPOSITE COMPLEX QUANTUM SYSTEMS RELAY OF MULTILEVEL BANDS DEGENERATE BANDS WITH RANDOM COUPLING NON-DEGENERATE BANDS WITH RANDOM COUPLING CORRELATED COUPLING RANDOM WALKS AND COHERENT BEHAVIOR LEVEL DECAY TO A BAND OF RANDOM WALKS INTERFERENCE OF RANDOM RETURNS AT LONG TIMES GENERAL CONSIDERATION THREE TYPES OF RANDOM WALK AND THE ASYMPTOTIC DECAY MANIFESTATION OF QUANTUM COMPLEXITY IN THE STATE DENSITY SPECTRUM TRANSFORMATION INDUCED BY RANDOM PERTURBATION THE E?ECT OF QUANTUM RECURRENCES ON THE STATE DENSITY PRO?LES THE DENSITY OF QUANTUM STATES OF FRACTALS REFERENCES