Quantum Mechanical Model of Neuron Network Elements
https://doi.org/10.1134/S2079562920040144
Abstract
A model of a quantum-mechanical system organized by the principle of a neural network is considered. The role of neurons is played by quantum particles evolving under the action of an external doublewell potential. The instanton acts as a spike. The connection between neurons is provided by the interaction potential . The connection is directional due to asymmetry of the interaction potential. Thus, the complete Hamiltonian of the system is . The system is investigated by PIMC metod. It is shown that with a certain choice of parameters in this system, the transfer of activity in long chains of neurons is possible.
About the Authors
A. A. Novoselov
Faculty of Physics, Moscow State University
Russian Federation
Russian Federation
Moscow, 119991
O. V. Pavlovsky
Faculty of Physics, Moscow State University; Alikhanov Institute for Theoretical and Experimental Physics, National Research Center “Kurchatov Institute”
Russian Federation
Russian Federation
Moscow, 119991
Moscow, 117218
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Review
For citations:
Novoselov A.A., Pavlovsky O.V. Quantum Mechanical Model of Neuron Network Elements. Nuclear Physics and Engineering. 2020;11(5):266-270. (In Russ.) https://doi.org/10.1134/S2079562920040144
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