Towards computerized typology and classification of ceramics. Action correlations and random matrix theory. Monastra A. Avoided intersections of nodal lines. Kottos T. Quantum graphs: a simple model for chaotic scattering. Hornberger K. Magnetic edge states. Spectral cross correlations of magnetic edge states. Blum G. Nodal domains statistics: A criterion for quantum chaos.
The exterior and interior edge states of magnetic billiards: Spectral statistics and correlations. Physica Scripta. Gutkin B. Can one hear the shape of a graph?. Eckhardt B. Stroboscopic quantization of autonomous systems. Foundations of Physics. The boundary integral method for magnetic billiards. Spectral statistics for quantum graphs: periodic orbits and combinatorics. Chaotic scattering on graphs. Periodic-orbit theory of Anderson localization on graphs.
Primack H. The quantum three-dimensional Sinai billiard - A semiclassical analysis. Trace identities and their semiclassical implications. Chaotic scattering of microwaves. Radio Science. Hyperbolic billiards on surfaces of constant curvature. Periodic orbit theory and spectral statistics for quantum graphs. Annals of Physics. Dittrich T. Spectral correlations in systems undergoing a transition from periodicity to disorder. Physical Review E. On the accuracy of the semiclassical trace formula. Signature of chaotic diffusion in band spectra.
Cohen D. Quantal-classical duality and the semiclassical trace formula. Kettemann S. Characterization of quantum chaos by the autocorrelation function of spectral determinants. Penumbra diffraction in the semiclassical quantization of concave billiards. Universal spectral properties of spatially periodic quantum systems with chaotic classical dynamics. Quantum chaos and random matrix theory - Some new results. Quantum chaos on graphs. Klakow D. Wavefunctions, expectation values and scars on Poincare sections - A scattering approach.
The smooth spectral counting function and the total phase shift for quantum billiards. Penumbra diffraction in the quantization of dispersing billiards. Semiclassical quantization of chaotic billiards - A scattering approach. Mesoscopic Quantum Physics. Doron E. Quantum Chaos. Physical Review B. Dietz B. A scattering approach to the quantization of billiards-The inside-outside duality. Nuclear Physics A. Contemporary Physics. Physica B. Chaotic spectroscopy. European Physical Journal D. Bottom Sec. Adapted from [ 33 ]. Left Sec. The Introduction Sec.
Plenio Rev. Abstract The coherent superposition of states, in combination with the quantization of observables, represents one of the most fundamental features that mark the departure of quantum mechanics from the classical realm. Research Areas. Issue Vol. Authorization Required. Log In. Figure 1 Plan of the Colloquium. Sign up to receive regular email alerts from Reviews of Modern Physics. Graded Tensor Products and Entanglement. AIP Conference Proceedings. New experimental tests of the photon's indivisibility.
Quantization of propagating modes in optical fibres. Quantum correlations as correlations of classical Gaussian signals : "entanglement'' at the subquantum level. Reports on mathematical physics. Kosyak, A. Wavelet bases on adele rings. Quantum-like model of diauxie in Escherichia coli : operational description of precultivation effect. Journal of Theoretical Biology. Quantum-like dynamics of decision-making. Quantum-like model of glucose effect on Escherichia coli growth.
Bell Argument : Locality or Realism? Time to Make the Choice. Nordebo, S. Fisher information for inverse problems and trace class operators. Journal of Mathematical Physics. Pseudodifferential operators on adele rings and wavelet bases. Quantum probabilities from a mathematical model of threshold detection of classical random waves. Journal of Physics A : Mathematical and Theoretical. Role of detectors and their proper calibration in inter-relation between classical and quantum optics.
Born's rule from measurements of classical signals by threshold detectors which are properly calibrated. Journal of Modern Optics. Toft, J. Decompositions of Gelfand-Shilov kernels into kernels of similar class. Journal of Mathematical Analysis and Applications. Distance Dependence of Entangled Photons in Waveguides. Ergodicity of dynamical systems on 2-adic spheres. Quantum probabilities and violation of CHSH-inequality from classical random signals and threshold type detection scheme.
Progress of theoretical physics. Towards a Field Model of Prequantum Reality. Towards new Grangier type experiments. Violation of Bell's inequality by correlations of classical random signals. On an experimental test of prequantum theory of classical random fields : an estimate from above of the coefficient of second-order coherence. Rosinger, E.
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Beyond Archimedean Space-Time Structure. Genetic code and deformation of the 2-dimensional 2-adic metric. Quantum-like model of processing of information in the brain based on classical electromagnetic field. Replica procedure for probabilistic algorithms as a model of gene duplication.
Quantum-like interference effect in gene expression : glucose-lactose destructive interference. A classical field theory comeback?
Physica scripta. On topological extensions of Archimedean and non-Archimedean rings. Journal of Computational and Theoretical Nanoscience. About some probabilistic algebraic model of interaction between particles. Characterization of ergodicity of p-adic dynamical systems by using the van der Put basis.
Prequantum classical statistical field theory : background field as a source of everything? Subquantum nonlocal correlations induced by the background random field. Albeverioa, S. The Cauchy problems for evolutionary pseudo-differential equations over p-adic field and the wavelet theory. Quantum probability from classical signal theory. On application of Gorini-Kossakowski-Sudarshan-Lindblad equation in cognitive psychology. Quantum-like model of brain's functioning: Decision making from decoherence. Correlations of components of prequantum field corresponding to biparticle quantum system.
Europhysics letters. Description of composite quantum systems by means of classical random fields. Non-Haar p-adic wavelets and their application to pseudo-differential operators and equations. Applied and Computational Harmonic Analysis. Subquantum detection theory—SDT.
E, Low-Dimensional systems and nanostructures. Representation of probabilistic data by quantum-like hyperbolic amplitudes. Advances in Applied Clifford Algebras. An analogue of the Heisenberg uncertainty relation in prequantum classical field theory. Classical signal model for quantum channels. Dialog on Beyond Quantum. Benois-Pineau, J. Computer journal. Correlations of entangeled systems from fluctuations of the prequantum field : the case of an arbitrary density operator. Pairwise correlations in a three-partite quantum system from a prequantum random field. Quantum correlations from classical Gaussian random variables: fundamental role of vacuum noise.
Fluctuation and Noise Letters. Quantum Integers. Two-particle wave funcion as an integral operator and the random field approach quantum correlations. Classical and quantum probability for biologists-introdaction.
Rev. Mod. Phys. 89, () - Colloquium: Quantum coherence as a resource
A number theoretical observationabout the degeneracy of the genetic code. Laser physics. Fractal fluctuations and quantum-like chaos in the brain by analysis of variability of brain waves: A new method based on a fractal variance function and random matrix theory: A link with El Naschie fractal Cantorian space—time and V. Weiss and H. Weiss golden ratio in brain. Gene expression from polynomial dynamics in the2-adic information space. Nonlocality as well as rejection of realism are only sufficient but non-necessary!
Information Sciences. Oleg Georgievich Smolyanov on his 70th birthday. Russian Mathematical Surveys. On uniqueness of Gibbs measurefor p-adic countable state Potts model on the Cayley tree. Nonlinear Analysis. Quantum mechanics and violation ofthe sure-thing principle: the use of probability interference andother concepts. EPR "paradox", projection postulate, time synchronization "nonlocality". Albeverio, S. Operator calculus for p-adic valued symbols and quantization.
Rendicoti Del Seminario Matematico. What does probability theory tell us about Bell's inequality? Advanced Science Letters. Entanglement's dynamics from classical stochastic process. Smolyanov, O. Generalized Kolmogorov models for probabilistic quantum-type experiments. Von Neumann and Luders postulates and quantuminformation theory.
An infinite family of p -adic non-Haar wavelet bases and pseudo-differential operators. Asymptotical behavior of oneclass of p-adic singular Fourier integrals. Gene expression from 2-adic dynamical systems. Hilbert space over complex hyperbolic numbers andhyper-trigonometric interference. P-adic refinable functions and MRA-based wavelets. Journal of Approximation Theory.
Quantum correlations from classical Gaussiancorrelations. Quantum-like model of cognitive decision makingand information processing. Bell-Boole inequality: Nonlocality or probabilistic incompatibility of random variables? Einstein-Podolsky-Rosen paradox, Bell's inequality, and the projection postulate. Ezhov, A. Indications of a possible symmetry and its breaking in a many-agent model obeying quantum statistics.
Physical Review E. Statistical, Nonlinear, and Soft Matter Physics. Quantum averages from Gaussian random fields at the Planck length scale. Quantum-like microeconomics: Statistical model of distribution of investments and production. Symplectic geometry on an infinite-dimensional phase space and an asymptotic representation of quantum averages by Gaussian functional integrals.
The role of von Neumann and Luders postulates in the Einstein, Podolsky, and Rosen considerations: Comparing measurements with degenerate and nondegenerate spectra. Article Number: Non-Haar p-adic wavelets and pseudodifferential operators. Quantum randomness as a result of random fluctuations at the Planck time scale? Quantum-like model for classical random electromagnetic field. Hyperbolic quantization. Analysis of the role of von Neumann's projection postulate in the canonical scheme of quantum teleportation.
Born's rule from classical random fields. Physics Letters A. Can the mathematical formalism of quantum mechanics be applied to psychology? The quantum-like brain on the cognitive and subcognitive time scales. Journal of consciousness studies. Attracting fixed points of polynomial dynamical systems if fields of p-adic numbers.
Compatibility and Marginality. Distributions on adeles. Journal of Mathematical Sciences. Genetic code on the diadic plane. Replica symmetry breaking related to a general ultrametric space 3: The case of general measure. Is the fair sampling assumption supported by EPR experiments? Journal of Physics B: At. On p-adic Gibbs measures of the countable state Potts model on the Cayley tree.
Prequantum classical statistical field theory: Time scale of fluctuations. Doklady Mathematics. Quantum mechanics as an approximation of statistical mechanics for classical fields. Quantum Information Processing. Fourier analysis over hyperbolic algebra, pseudo-differential operators, and hyperbolic deformation of classical mechanics. Generalized probabilities taking values in non-Archimedean fields and in topological groups.
Russian Journal of Mathematical Physics. New possible properties of atomic nuclei indicated by non linear methods, fractal and reccurence quantifications analysis. To quantum averages through asymptotic expansion of classical averages on infinite-dimensional space. Analysis of explicit and implicit assumptions in the theorems of J. Von Neumann and J. Linear fractional p-adic and adelic dynamical systems.
Quantum mechanics as the quadratic Taylor approximation of classical mechanics: The finite-dimensional case. Quantumlike representation of extensive form games: Probabilistic aspects. Some remarks on an experiment suggesting quantum-like behavior of cognitive entities and formulation of an abstract quantum mechanical formalism to describe cognitive entity and its dynamics.
Chaos, Solitons and Fractals. Associated homogeneous p-adic distributions.
Local realistic representation for correlations in the original EPR-model for position and momentum. Replica symmetry breaking related to a general ultrametric space I: replica matrices and functionals. Classical representation of quantum means and quantum dynamics.
In the same section
Open Systems and Information Dynamics. Nonstationary Kolmogorov probability models describing quantum measurements. Representation Theorem of Observables on a Quantum System. International Journal of Theoretical Physics.
Localization in space for a free particle in ultrametric quantum mechanics. On the problem of hidden variables for quantum field theory. Prequantum classical statistical field theory: Complex representation, Hamilton-Schrodinger equation, and interpretation of stationary states. Foundation of Physics Letters. Quantum mechanics from time scaling and random fluctuations at the "quick time scale''.
Ultrametric random field. Distributional aymptotics and p-adic Tauberian and Shannon-Kotelnikov theorems. Asymptotic Analysis. The formula of total probability with the interference term and the representation of the Kolmogorov model in the Hilbert space. Theory of Probability and its Applications. Distributions and pseudo-differential operators on infinite-dimensional spaces and applications in quantum physics. Operator Theory: Advances and Applications. Logical approach to p-adic probabilities.
Bulletin of the Section of Logic.
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Quantum equilibria for macroscopic systems. Journal of Physics A: Mathematical and General. Tauberian theorems for p-adic distributions. Integral Transforms and Special Functions. Von Neumann uniqueness theorem doesn't hold in hyperbolic quantum Mechanics. Contextual quantization and the principle of complementarity of Probabilities.
Hyperbolic quantum mechanics. Doklady Akademii Nauk. Kolmogorov probability spaces describing Accardi models for quantum correlations. Mathematische Nachrichten. Representation of the contextual statistical model by hyperbolic amplitudes.