LOSS OF QUANTUM COHERENCE DUE TO TOPOLOGICAL CHANGES: A TOY MODEL

1988 ◽  
Vol 03 (13) ◽  
pp. 1231-1242 ◽  
Author(s):  
G.V. LAVRELASHVILI ◽  
V.A. RUBAKOV ◽  
P.G. TINYAKOV
Keyword(s):  
State Vector ◽  
Arbitrary Number ◽  
Quantum Coherence ◽  
The Third ◽  
Natural Choice ◽  
Topological Changes

We present a toy model for the third quantization theory of topological changes. We find that the natural choice of the “Heisenberg” state vector of the system with one large universe and an arbitrary number of small universes gives rise to the loss of quantum coherence.

Monte Carlo Algorithms for Moments of Transition Arrays

1988 ◽  
Vol 102 ◽  
pp. 79-81
Author(s):  
A. Goldberg ◽  
S.D. Bloom
Keyword(s):  
Monte Carlo ◽  
State Vector ◽  
Basis Vector ◽  
Collective State ◽  
Dispersion Characteristics ◽  
Dipole Strength ◽  
The Third ◽  
Monte Carlo Algorithms ◽  
Third Moment ◽  
Very High

AbstractClosed expressions for the first, second, and (in some cases) the third moment of atomic transition arrays now exist. Recently a method has been developed for getting to very high moments (up to the 12th and beyond) in cases where a “collective” state-vector (i.e. a state-vector containing the entire electric dipole strength) can be created from each eigenstate in the parent configuration. Both of these approaches give exact results. Herein we describe astatistical(or Monte Carlo) approach which requires onlyonerepresentative state-vector |RV> for the entire parent manifold to get estimates of transition moments of high order. The representation is achieved through the random amplitudes associated with each basis vector making up |RV>. This also gives rise to the dispersion characterizing the method, which has been applied to a system (in the M shell) with≈250,000 lines where we have calculated up to the 5th moment. It turns out that the dispersion in the moments decreases with the size of the manifold, making its application to very big systems statistically advantageous. A discussion of the method and these dispersion characteristics will be presented.

scholarly journals Automorphy lifting for residually reducible -adic Galois representations, II

2020 ◽  
Vol 156 (11) ◽  
pp. 2399-2422
Author(s):  
Patrick B. Allen ◽  
James Newton ◽  
Jack A. Thorne
Keyword(s):  
Arbitrary Number ◽  
Galois Representations ◽  
The Third

We revisit the paper [Automorphy lifting for residually reducible$l$-adic Galois representations, J. Amer. Math. Soc. 28 (2015), 785–870] by the third author. We prove new automorphy lifting theorems for residually reducible Galois representations of unitary type in which the residual representation is permitted to have an arbitrary number of irreducible constituents.

Homeostasis and Evolution From the Standpoint of the Third Paradigm

2015 ◽  
Vol 22 (3) ◽  
pp. 33-39
Author(s):  
Филатова ◽  
O. Filatova ◽  
Еськов ◽  
Valeriy Eskov ◽  
Хадарцев ◽  
...  
Keyword(s):  
Heart Rate ◽  
Numerical Investigation ◽  
State Vector ◽  
Stationary Regime ◽  
Living System ◽  
Self Organization ◽  
New Paradigm ◽  
Statistical Function ◽  
The Third ◽  
New Interpretation

According to new theory of chaos - self organization if was presented new paradigm of homeostasis and evolution. Numerical investigation of tremor, miogram, encephalograms, heart-rate, etc. proved the simultaneously changing of experimental results as dx/dt=0 for the special human state vector x(t) for different interval of time At. The statistical function of x(t) -fix) present the simultaneously changing of/(x). So the homeostasis seems as a stationary regime when the parameters of quasi-attractor are not change. The authors present the new interpretation of homeostasis and evolution for special systems with special dynamic of living system (hymen lodi special). Then the first place take the x(t) parameters of such special third type of system.

ON REGULAR AND IRREGULAR NONLINEAR VIBRATIONS IN TORSIONAL DISCRETE-CONTINUOUS SYSTEMS

2011 ◽  
Vol 21 (10) ◽  
pp. 3073-3082 ◽  
Author(s):  
AMALIA PIELORZ ◽  
DANUTA SADO
Keyword(s):  
Arbitrary Number ◽  
Nonlinear Vibrations ◽  
Rigid Bodies ◽  
Continuous Systems ◽  
Bifurcation Diagrams ◽  
Governing Equations ◽  
Mass System ◽  
The Third ◽  
Multimass System ◽  
Local Nonlinearity

The paper deals with regular and irregular nonlinear vibrations of discrete-continuous systems torsionally deformed. The systems consist of an arbitrary number of shafts connected by rigid bodies. In the systems, a local nonlinearity having a soft type characteristic is introduced. This nonlinearity is described by the polynomial of the third degree. General governing equations using the wave approach are derived for a multimass system. Detailed numerical considerations are presented for a two-mass system and a three-mass system. The possibility of occurrence of irregular vibrations is discussed on the basis of the Poincaré maps and bifurcation diagrams.

scholarly journals Being Bayesian: Discussions from the Perspectives of Stakeholders and Hydrologists

Water ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 461
Author(s):  
Ty P.A. Ferre
Keyword(s):  
Bayesian Analysis ◽  
Bayesian Approach ◽  
Bayes Theorem ◽  
Standard Practice ◽  
Natural Approach ◽  
The Third ◽  
Optimal Observation ◽  
Bayes Theory ◽  
Hydrologic Analysis ◽  
Natural Choice

Bayes’ Theorem is gaining acceptance in hydrology, but it is still far from standard practice to cast hydrologic analyses in a Bayesian context—especially in the realm of hydrologic practice. Three short discussions are presented to encourage more complete adoption of a Bayesian approach. The first, aimed at a stakeholder audience, seeks to explain that an informal Bayesian analysis is the default approach that we all take to any decision made under uncertainty. The second, aimed at a general hydrologist audience, seeks to establish multi-model approaches as the natural choice for Bayesian hydrologic analysis. The goal of this discussion is to provide a bridge from the stakeholder’s natural approach to a more formal, quantitative Bayesian analysis. The third discussion is targeted to a more advanced hydrologist audience, suggesting that some elements of hydrologic practice do not yet reflect a Bayesian philosophy. In particular, an example is given that puts Bayes Theory to work to identify optimal observation sets before data are collected.

Other World, Other Science, Other Models in Complexity Descreaption

10.12737/3328 ◽  
2014 ◽  
Vol 21 (1) ◽  
pp. 138-141
Author(s):  
Еськов ◽  
Valeriy Eskov ◽  
Филатова ◽  
O. Filatova
Keyword(s):  
Phase Space ◽  
State Vector ◽  
Stochastic Systems ◽  
Chaotic Behavior ◽  
Future Generation ◽  
Self Organization ◽  
Stationary Mode ◽  
Initial State ◽  
Heisenberg Uncertainty Principle ◽  
The Third

The understanding of very special systems of third type was created according to W.Weaver efforts. The new theory of chaos – self- organization was created last 40 years and was based on other understanding of stationary mode of third type of systems and its very specific chaotic behavior. The analog of the systems with physical system was discussed too. The third type of systems (opposite of deterministic and stochastic systems) was presented. It was discussed the principle distinguishes between dynamics of such system and traditional systems according to Heisenberg uncertainty principle. Traditional systems have certain and reproducible initial state of its system’s state vector and we can predict its future states. But in the third type of systems the authors have uncertain initial system state and uncertain vector states. It is a unique system which I.R. Prigogine in his famous article to the future generation determines as systems behind the science. The time for researching of such systems has come. For the modeling of biosystems, the authors propose method of quasi-attractor and define five special properties of complex systems. The main of it is connected with uninterrupted chaotic movements (glimmering property) of system’s vector in phase space of state and evolution of such system’s state vector in phase space of state. It was demonstrated that Heizenberg principle of uncertainty has special analog at theory of chaos – self organization. The botton boarder of the left side of inequality for the systems of third type the authors propose the value of quasiattractors, inside of it we chaos uninferrupled and chaotic movements of systems state vector. The value of quasiattractor determine like multiplication of coordinat x its speed dx/dt.

scholarly journals A Psychological View of Complex Numbers through Classical and Quantum Computing

2017 ◽  
Vol 6 (1) ◽  
pp. 66
Author(s):  
Antonio Cassella
Keyword(s):  
Quantum Computing ◽  
Quantum Coherence ◽  
Quantum Decoherence ◽  
Second Step ◽  
Complex Numbers ◽  
The Third ◽  
Classical Computing ◽  
Psychological View ◽  
Fact Learning ◽  
Euler’S Identity

This article explores a psychological view of zero and complex numbers under the embrace of classical with quantum computing. At first, the author broaches classical computing, after-the-fact learning, and the autistic finiteness of the first attention spared in high-functioning autistics. Secondly, he deals with quantum computing, before-the-fact learning, and the less-than-perfect infinity of the second attention impaired in the autistic spectrum before the age of three years. The author emphasizes that quantum computing in the second step agrees with quantum coherence, the angle Greek Pi (p) in radians, Euler’s Identity (eip + 1 = 0), and the approach of daring explorers to the schizophrenia attached to algebraic zero. Thirdly, this article shows that the alliance of classical with quantum computing, or of the first with the second attention, allows the atoned self to reach transcendental zero, quantum decoherence, and a renovated home in the arms of the Third Attention. In turn, the renewal brought by the Third Attention can be linked to the angle twice Greek Pi (t, or Tau), the “Tau” identity (eit -1 = 0), the union of real with imaginary numbers in complex numbers, and the proposition by Pythagoras that “all is number.”

scholarly journals Exploring the Social Link between Cerebral and Cerebellar Neural Ensembles through a Falsifiable Psychological Heuristics

2018 ◽  
Vol 6 (2) ◽  
pp. 69
Author(s):  
Antonio Cassella
Keyword(s):  
Purkinje Cells ◽  
Quantum Coherence ◽  
Granule Cells ◽  
Cerebellar Granule Cells ◽  
Long Term Potentiation ◽  
Quantum Decoherence ◽  
The Third ◽  
Neural Ensembles ◽  
The Social

This article wields the logos psychological heuristics in proposing that the universe, the social brain, and subatomic ensembles sustain the journey of the Mesoamerican demigod Quetzalcoatl. Within quantum coherence, the going “coatl-quetzal” marries in the hyperspace of our 5000 microcomplexes the legitimacy (probability = p = 1) of the autistic “coatl” (“serpent”), guarded by the 2 000 000 cortical columns in the cerebral cortex, with the illegitimacy (p = 0) of the schizophrenic “quetzal” (“bird”) lodged in the cerebellar cortex. Within quantum decoherence, the return of “quetzal-coatl” to the cerebral coatl in spacetime reflects our escape from madness with a new piece of knowledge. At the turn of the 20th century, the author found that autistics’ strength in Performance IQ agrees with the victory of repetitive legitimacy over unexpected illegitimacy in the first attention. He concluded that autistics’ weakness in verbal IQ agrees with a damaged qubit |1› and |0› (ket one and ket zero) in the going journey of Quetzalcoatl with the second attention. At the turn of the first decade of the 21st century, the author researched the reciprocal empowerment of the first and the second attention in the Third Attention. Here he emphasizes that in spontaneous laughing, the coherence of long-term potentiation in cerebellar granule cells, parallel fibers, and Purkinje cells is followed by the decoherence of long-term depression in the fewer Purkinje cells that carry Quetzalcoatl and the Third Attention into the deep nuclei of the cerebellum, and then into the spacetime of a refreshed first attention.

The five principles of the functioning of complex systems, systems of the third type

2015 ◽  
Vol 9 (1) ◽  
pp. 0-0 ◽  
Author(s):  
Еськов ◽  
V. Eskov ◽  
Филатова ◽  
O. Filatova ◽  
Хадарцев ◽  
...  
Keyword(s):  
Phase Space ◽  
Complex Systems ◽  
Human Body ◽  
State Vector ◽  
Kinematics And Dynamics ◽  
Motion Trajectory ◽  
First Principle ◽  
Final State ◽  
The Third ◽  
Homogeneous Systems

The article is devoted to the basis of the five principles that characterize complex systems, systems of the third type. The authors provide the opportunities caused from the solutions of the equations of kinematics and dynamics. Uncertainty, unpredictability and uniqueness of complex systems, which include the human body, are demonstrated. The first principle, the postulate of synergetics, is associated with homogeneous systems in which the dynamics of the behavior of the system as a whole and not its individual elements, - is studied. The second principle of the organization of the systems of the third type - the glimmering property, - it is impossible to repeat the motion trajectory in phase space. This position is confirmed by the tremorogramm analysis. The third and fourth principles are evolution and teleological motion vectors of such systems to the final state, de-scribed not a point, but the area of phase space, quasi-attractor. The fifth property is the possibility of the output coordinates of the state vector to outside at 3, 10 and more Sigma, which ensures the survivability of biological systems.

Progress report on 21-cm observations at low latitude between longitudes (l 11) 0° and 66°

1967 ◽  
Vol 31 ◽  
pp. 177-179
Author(s):  
W. W. Shane
Keyword(s):  
Preliminary Report ◽  
Progress Report ◽  
Galactic Centre ◽  
Low Latitude ◽  
The Third ◽  
Introductory Lecture ◽  
Centre Region

In the course of several 21-cm observing programmes being carried out by the Leiden Observatory with the 25-meter telescope at Dwingeloo, a fairly complete, though inhomogeneous, survey of the regionl11= 0° to 66° at low galactic latitudes is becoming available. The essential data on this survey are presented in Table 1. Oort (1967) has given a preliminary report on the first and third investigations. The third is discussed briefly by Kerr in his introductory lecture on the galactic centre region (Paper 42). Burton (1966) has published provisional results of the fifth investigation, and I have discussed the sixth in Paper 19. All of the observations listed in the table have been completed, but we plan to extend investigation 3 to a much finer grid of positions.

Sign in / Sign up

Export Citation Format

Share Document