Quantum mechanics and chaotic fields quantum chaos, complex spectral representation and time-symmetry breaking, T. Petrosky and I. Prigogine scale relativity, fractal space-time and quantum mechanics, L. Nottale introduction to wave phenomena and uncertainty in a fractal space - I, A. Le Mehaute et al young double-slit experiment, Heisenberg uncertainty principle and cantoria space-time, M.S. El Naschie the quantum dimension of space-time, E. Alvarez et al intra-observer chaos - hidden root of quantum mechanics?, O.E. Rossler amplification of superpositional effects through electronic - conformational interactions, M. Conrad quantum cellular automation in 1-D, D.W. Belousek et al an energy-barrier model of biased transport in disordered systems, M. Giona chaos in the Einstein equations, S.E. Rugh.
Quantum mechanics and chaotic fields quantum chaos, complex spectral representation and time-symmetry breaking, T. Petrosky and I. Prigogine scale relativity, fractal space-time and quantum mechanics, L. Nottale introduction to wave phenomena and uncertainty in a fractal space - I, A. Le Mehaute et al young double-slit experiment, Heisenberg uncertainty principle and cantoria space-time, M.S. El Naschie the quantum dimension of space-time, E. Alvarez et al intra-observer chaos - hidden root of quantum mechanics?, O.E. Rossler amplification of superpositional effects through electronic - conformational interactions, M. Conrad quantum cellular automation in 1-D, D.W. Belousek et al an energy-barrier model of biased transport in disordered systems, M. Giona chaos in the Einstein equations, S.E. Rugh.
Foreword. The quantal fattening of fractals N.L. Balazs. How and when quantum phenomena become real Ph. Blanchard, A. Jadczyk. Chaotic dynamics in a periodically driven anharmonic oscillator Yu.L. Bolotin, V.Yu. Gonchar, M.Ya. Granovsky. Coherent and incoherent dynamics in a periodically driven bistable system T. Dittrich, F. Grossman, P. Hanggi, B. Oelschlagel, R. Utermann. The Ehrenfest theorem for Markov diffusions P. Garbaczewski. The quantum state diffusion model, asymptotic solutions, thermal equilibrium and Heisenberg picture N. Gisin. Stochastic representation of quantum dynamics Z. Haba. Level repulsion and exceptional points W.D. Heiss, W.-H. Steeb. Type-II intermittency in the presence of additive and multiplicative noise H. Herzel, F. Argoul, A. Arneodo. Aspects of Liouville integrability in quantum mechanics J. Hietarinta. KAM techniques for time dependent quantum systems H.R. Jauslin. Dissipation and noise in quantum mechanics N.G. van Kampen. Irregular scattering, number theory, and statistical mechanics A. Knauf. Band random matrices, kicked rotator and disordered systems L. Molinari. Robust scarred states D. Richards. The quasiclassical statistical description of quantum dynamical systems and quantum chaos Yu.P. Virchenko. Quantum measurement by quantum brain M. Jibu, K. Yasue. Time reversal and Gaussian measures in quantum physics J.C. Zambrini. Stochastic resonance in bistable systems with fluctuating barriers L. Gammaitoni, F. Marchesoni, E. Menichella-Saetta, S. Santucci. Index.
A. The Course.- Molecules Coupled to Their Environment.- Theories of Molecular Chirality: A Short Review.- Condensed Cooper Pairs and Macroscopic Quantum Phenomena.- Non-Equilibrium Statistical Mechanics: Dynamics of Macroscopic Observables.- Quantum Brownian Motion.- Localization Critical Exponents.- Stochastic Models of Population and Phase Relaxation.- Classical and Quantum, Lattice and Continuum Percolation.- Tunneling and Relaxation in Low Temperature Systems.- Dynamics of Quantum Particles: Coupled Coherent and Incoherent Motion.- Chaotic Motion of Molecular Chains.- Complex Surface Geometry in Nano-Structure Solids: Fractal versus Bernal-Type Models.- Aggregation Phenomena.- Electrodeposition: Phenomenology and Theory.- Screening in Electrolytes and in Polymer Solutions: The Charge Structure Function.- In Search of Scaling Laws in Porous Silica Gels.- Stochastic Aspects in Reaction Kinetics.- B. The Seminars.- I Quantum Theory of Large Systems.- Coherence and Quantum Mechanics.- The Dynamical Generation of Macroscopic Coherent Light.- Macroscopically Inhomogeneous Bose-Einstein Condensation.- Generalized Squeezing of Boson States.- Equilibrium States of Long-Range Interacting Quantum Lattice Systems.- Environment and Symmetry Breaking in Quantum Field Theory.- Gauge Chemistry.- II Localized and Extended States.- Coherence Effects in Excitation Transfer: Application to Hexagonal Photosynthetic Unit.- Random Matrix Theory and Anderson Localisation.- Local Moments and the Localization of Electrons in Liquids.- How Universal is the Scaling Theory of Localization?.- Dimers, Repulsions, and the Absence of Localisation.- III Transport and Reactions.- Electronic Excitations in Polysilanes: Frenkel Excitons of a Disordered Chain.- The Study of Energy Change in Radical Systems.- Decay From an Initial Unstable State in a Chemical Reaction Model.- The Effects of Static Disorder on Polaron Transport.- Diffusion in a Disordered Line.- Bimolecular Diffuion-Limited Reaction Kinetics at Steady State.- Dynamic Percolation Theory for Diffusion of Interacting Particles: Tracer Diffusion in a Multi-Component Lattice Gas.- Crossover from Dispersive to Diffusive Energy Transport.- The Coupling Scheme for Relaxations in Complex Correlated Systems.- Simulation of Excitation Transport in Disordered Media.- Dynamical Exponents for 1-D Random-Random Directed Walks.- IV Polymers.- Interactions between Poly(styrene-co-styrene Sulfonic Acid) and Poly(methylmethacrylate-co-4-vinyl Pyridine) in Dimethyl Sulfoxide Solution by Photon Correlation Spectroscopy.- Interactions of Sigma Conjugated Polymers With Strong Optical Fields.- Randomly Branched Polymers.- Multi-Particle Relaxation in Electronically Excited Polymers: Distribution of Transition Rates from Fluorescence Data - A Numerical Approach.- Understanding Heat Conduction in Oriented Polymers.- Static Correlations of Polymer Chains in Networks.- Theory of Polymers on Fractal Lattices.- V Disordered and Low-Dimensional Systems.- Self-Consistent Interpretation of Percolation in a Microemulsion.- Experimental Evidence of Fractal Aggregates in Dense Microemulsions.- Fractal Dynamics of the Catalytic CO-Oxydation - Application of Fractal Cellular Automata Models.- Electrodeposition: Fractal and Multifractal Measures.- High Resolution Spectroscopy of Langmuir-Blodgett Films.- Molecular Dynamics Simulation of the Transport of Small Molecules Across a Polymer Membrane.- Reactions in Microemulsions: Fractal Modeling.- Enhanced Membrane Rigidity in Charged Lamellar Phases.- VI Words of thanks.- Lecturers.- Participants.
A theory with a simple physical model gives logical and reasonable answers to all the strange phenomena and difficult-to-understand problems in modern physics, from the theory of relativity, quantum mechanics QM, and up to the field of cosmology. It is a theory suitable for explaining phenomena from small particles to large bodies such as stars, galaxies, and the entire universe. In this article, we will define in an innovative manner how space-time is seen and we will give a different graphical representation to the special theory of relativity. We will show how the Lorentz transformation equations and the space-time interval are obtained from it, how light behaves in space-time, and according to it, how to obtain relativistic Doppler formulas. The most important thing in this article is that just as two bodies can be in two different times, according to the theory of relativity, they can also be simultaneously in two different locations. According to it, Heisenberg's uncertainty principle and quantum superposition can be explained. We will present for the first time a very common physical phenomenon, but unknown up to this day, which we will call "leap set". According to it, we will logically and deterministically explain the double-slit experiment of electrons and we will show that the result of the experiment is not a wave interference because the electron does not pass through the slits, but it performs a leap set to possible locations on the screen. Also, according to the same model, we will see the conditions and reasons for quantum entanglement and how it is obtained. We will also show the expansion of the universe and Hubble's law according to this theory and model, the Casimir effect as a cosmological phenomenon. We will discuss the possibility of the existence of a mirror world completely identical to our world, located at a distance of 2x13.8Gly in the space-time and we will prove that the material mass energy of the universe is zero.
Quantum chaotic scattering, R. Blumel microwave ionization of Rydberg atoms, P. Koch and L. Moorman geometry and quantum mechanics, L.N. Chang and Y.G. Liang where is the chaos in two-electron atoms?, R. Blumel and W.P. Reinhardt quantum classical correspondence and quantum chaos, W-M. Chang et al phase space structure and fractal dissociation boundary of a kicked molecular system, J.M Yuan et al from classical to quantum chaos, G. Zaslavsky quantum chaos in nuclear physics, F. Sakata and M. Marumori.
The present collection of papers is devoted to a rather new and very controversial topic, the so-called “quantum chaos”. Some researchers see nothing essentially new at all in this phenomenon (apart from a number of various examples and models), and they have good reason to believe so. Indeed, the problems in this field all belong to the traditional, “old-fashion”, and rather “simple” quantum mechanics of finite-dimensional systems with a given interaction and no quantized fields. Nevertheless, many, including ourselves, consider quantum chaos to be a new discovery, though in an old field, of a great importance for fundamental physics. To understand this, the phenomenon of quantum chaos should be put into its proper perspective in recent developments in physics. The central point of this perspective is the conception of dynamical chaos (also a rather new topic) in classical mechanics (for a good review see, e.g., Refs.[l-3]). Thus before discussing the current understanding of quantum chaos we need briefly to describe classical dynamical chaos
Abstract The theoretical results of quantum mechanics (QM) have been verified by experiments, but the probabilistic Copenhagen interpretation is still controversial, and many counterintuitive phenomena are still difficult to understand. To trace the origin of probability in QM, we construct the amplitudes of a space-time position in a multiparticle quantum objective system and find that the probability in QM originates from the particle number distribution rate in a unit volume near position r at time t in the multiparticle quantum objective system. Based on the origin of probability, the quantization conditions of action and the principle of least action for an elementary particle (referred to as particle) , we find that when a particle moves in space-time, it periodically and alternately exhibit particle and wave state. We have derived the formula for the fringe positions in the double-slit experiment with particles, a new certainty relation and the uncertainty relation, obtain the localized and nonlocalized spatiotemporal range of the particle, the apparent trajectory of the particle motion. Based on this, through rigorous mathematical derivation and analysis, we propose new physical interpretations of the quantum superposition state, wave-particle duality, the double-slit experiment, the Heisenberg uncertainty principle, and the quantum tunnelling effect, and these interpretations are physically logical and not counterintuitive.