Quantum mathematics: backgrounds and some applications to nonlinear dynamical systems

DOI10.1007/S11072-008-0010-ZzbMath1276.81114OpenAlexW1974547762MaRDI QIDQ368104

Jolanta Golenia, Nikolai N. jun. Bogoliubov, Ufuk Taneri, Anatoliy K. Prykarpatsky

Publication date: 18 September 2013

Published in: Nonlinear Oscillations (Search for Journal in Brave)

Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/178153

zbMATH Keywords

second quantizationFock spacenonlinear dynamical systemsrigged Hilbert spaces

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Quantization in field theory; cohomological methods (81T70) Many-body theory; quantum Hall effect (81V70) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (1)

Nonlinear quantum-dynamical system based on the Kadomtsev-Petviashvili II equation

Cites Work

• Non-Abelian bosonization in two dimensions
• A generalization of white noise analysis by means of theory of hypergroups
• Wick calculus on spaces of generalized functions of compound Poisson white noise
• An application of gauge theory to four dimensional topology
• Non-Gaussian analysis and hypergroups
• Quantum theory, the Church–Turing principle and the universal quantum computer
• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• Relativistic quantum mechanics
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