• Corpus ID: 28464742

Constructive physics

@inproceedings{Ozhigov2008ConstructiveP,
  title={Constructive physics},
  author={Yuri Ozhigov},
  year={2008}
}
Discussion of the necessity to use the constructive mathematics as the formalism of quantum theory for systems with many particles. 

Introduction to the Renormalization Group with Applications to Non-Relativistic Quantum Electron Gases

In these lectures we review the rigorous work on many Fermions models which led to the first constructions of interacting Fermi liquids in two dimensions, and to the proof that they obey different

"Einstein's Dream" - Quantum Mechanics as Theory of Classical Random Fields

This is an introductory chapter of the book in progress on quantum foundations and incompleteness of quantum mechanics. Quantum mechanics is represented as statistical mechanics of classical fields.

Description of quantum systems by the collective behavior method

We develop the constructive viewpoint to quantum theory, which means the using of constructive mathematics as the basic formalism. It is shown how the heuristic of collective behavior leads to the

Constructivist treatment of Bell’s inequality violations and the no-hidden-variable theorems

The biphoton experiment demonstrating Bell’s inequality violation is discussed from the standpoint of constructive quantum mechanics. It is shown that the no-go theorems on hidden-variable theories

Bosonic colored group field theory

Bosonic colored group field theory is considered. Focusing first on dimension four, namely the colored Ooguri group field model, the main properties of Feynman graphs are studied. This leads to a

Comparison of Dynamic Diffusion with an Explicit Difference Scheme for the Schrödinger Equation

TLDR
The method of dynamic diffusion cannot be reduced to the solution of differential equations, in contrast to Bohm’s quantum hydrodynamics; hence, direct computer simulation is the mandatory next step.

0 00 10 31 v 1 2 0 Ja n 20 00 An inversion theorem in Fermi surface theory

We prove a perturbative inversion theorem for the map between the interacting and the noninteracting Fermi surface for a class of many fermion systems with strictly convex Fermi surfaces and

Clustering Bounds on n-Point Correlations for Unbounded Spin Systems

TLDR
Clustering estimates for the truncated correlations, i.e., cumulants of an unbounded spin system on the lattice, are proved and a unified treatment of four different regimes is provided, based on cluster expansion techniques, of large mass, small interaction between sites, large self-interaction, as well as the more delicate small self-Interaction or near massive Gaussian regime.

Self-Dual Noncommutative $${\phi^4}$$ϕ4 -Theory in Four Dimensions is a Non-Perturbatively Solvable and Non-Trivial Quantum Field Theory

We study quartic matrix models with partition function $${\mathcal{Z}[E, J] = \int dM}$$Z[E,J]=∫dM exp(trace$${(JM - EM^{2} - \frac{\lambda}{4} M^4)}$$(JM-EM2-λ4M4)). The integral is over the space

References

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“When we go far in the direction of the very small, quantum theory says that our forms of thought fail, so that it is questionable whether we can properly think at all”. These words of Bridgman

A quantum computer with fixed interaction is universal

It is proved that a quantum computer with fixed and permanent interaction of diagonal type between qubits proposed in the work quant-ph/0201132 is universal. Such a computer is controlled only by

Concept of consciousness in the context of quantum mechanics

Conceptual problems of the quantum theory of measurement are considered, which are embodied in well-known paradoxes and in Bell's inequalities. Arguments are advanced in favor of the viewpoint that

Dynamical diffusion as the approximation of one quantum particle dynamics

The paper contains the proof that the diffusion ensemble of point wise particles with the intensity depending on the grain of spatial resolution serves as the satisfactory approximation of one

Dialogue model of quantum dynamics

We introduce an original model of quantum phenomena, a model that provides a picture of a "deep structure", an "underlying pattern" of quantum dynamics. We propose that the source of a particle and

Fermionic quantum computation

We define a model of quantum computation with local fermionic modes (LFMs) — sites which can be either empty or occupied by a fermion. With the standard correspondence between the Foch space of m

Quantum mechanical hamiltonian models of turing machines

Quantum mechanical Hamiltonian models, which represent an aribtrary but finite number of steps of any Turing machine computation, are constructed here on a finite lattice of spin-1/2 systems.

How behavior of systems with sparse spectrum can be predicted on a quantum computer

TLDR
It is shown how the behavior of a system with a sparse spectrum up to time T=( 1−ρ)/14ε can be predicted on a quantum computer with the time complexity t=4/(1−ρ)ε1 plus the time of classical algorithm, where ρ is the fidelity.

Quantum recognition of eigenvalues, structure of devices, and thermodynamic properties

Quantum algorithms that speed up their classical counterparts are proposed for the following problems: recognition of eigenvalues with a fixed precision, recognition of molecular and electronic

Probabilities from Entanglement, Born's Rule from Envariance

I show how probabilities arise in quantum physics by exploring implications of environment assisted invariance or envariance , a recently discovered symmetry exhibited by entangled quantum systems.