Introductive Backgrounds of Modern Quantum Mathematics with Application to Nonlinear Dynamical Systems
Anatoliy K. Prykarpatsky, Nikolai N. Bogolubov (jr.), Jolanta Golenia, and Ufuk Taneri
TL;DR
This paper introduces Quantum Mathematics, exploring its historical development, key properties like second quantization, and its application to nonlinear dynamical systems, highlighting its potential in mathematical physics.
Contribution
It provides a comprehensive overview of Quantum Mathematics and demonstrates its innovative application to nonlinear dynamical systems theory.
Findings
Second quantization method exhibits unique properties
Application to nonlinear dynamical systems shows promising results
Historical analysis enriches understanding of Quantum Mathematics
Abstract
Introductive backgrounds of a new mathematical physics discipline - Quantum Mathematics - are discussed and analyzed both from historical and analytical points of view. The magic properties of the second quantization method, invented by V. Fock in 1932, are demonstrated, and an impressive application to the nonlinear dynamical systems theory is considered.
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Taxonomy
TopicsQuantum Mechanics and Applications · Quantum Computing Algorithms and Architecture · Quantum Information and Cryptography