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M. V. Altaisky

Publications and source records attributed to M. V. Altaisky.

27 records · Page 2Linked to original sources
arXiv2003

Quantum states of hierarchic systems

The density matrix formalism which is widely used in the theory of measurements, quantum computing, quantum description of chemical and biological systems always imply the averaging over the states of the environment. In practice this is impossible because the environment $U\setminusS$ of the system $S$ is the complement of this system to the whole Universe and contains infinitely many degrees of freedom. A novel method of construction density matrix which implies the averaging only over the direct environment is proposed. The Hilbert space of state vectors for the hierarchic quantum systems is constructed.

quant-ph↗
arXiv2001

On some algebraic problems arising in quantum mechanical description of biological systems

The biological hierarchy and the differences between living and non-living systems are considered from the standpoint of quantum mechanics. The hierarchical organization of biological systems requires hierarchical organization of quantum states. The construction of the hierarchical space of state vectors is presented. The application of similar structures to quantum information processing is considered.

quant-ph↗
arXiv2001

Quantum neural network

It is suggested that a quantum neural network (QNN), a type of artificial neural network, can be built using the principles of quantum information processing. The input and output qubits in the QNN can be implemented by optical modes with different polarization, the weights of the QNN can be implemented by optical beam splitters and phase shifters

quant-ph↗
arXiv2001

Genetic information and quantum gas

Possible explanation of the 64/20 redundancy of the triplet genetic code based on the assumption of quantum nature of genetic information is proposed.

quant-ph↗
arXiv2000

$ϕ^4$ Field theory on a Lie group

The $ϕ^4$ field model is generalized to the case when the field $ϕ(x)$ is defined on a Lie group: $S[ϕ]=\int_{x\in G} L[ϕ(x)] dμ(x)$, $dμ(x)$ is the left-invariant measure on a locally compact group $G$. For the particular case of the affine group $G:x'=ax+b,a\in\R_+, x,b \in \R^n$ t he Feynman perturbation expansion for the Green functions is shown to have no ultra-violet divergences for certain choice of $λ(a) \sim a^ν$.

hep-th↗
arXiv1997

Burridge-Knopoff model and self-similarity

The seismic processes are well known to be self-similar in both spatial and temporal behavior. At the same time, the Burridge-Knopoff (BK) model of earthquake fault dynamics, one of the basic models of theoretical seismicity, does not posses self-similarity. In this article an extension of BK model, which directly accounts for the self-similarity of earth crust elastic properties by introducing nonlinear terms for inter-block springs of BK model, is presented. The phase space analysis of the model have shown it to behave like a system of coupled randomly kicked oscillators. The nonlinear stiffness terms cause the synchronization of collective motion and produce stronger seismic events.

chao-dyn↗