Introductive Backgrounds of Modern Quantum Mathematics with Application to Nonlinear Dynamical Systems

2009/02/25 by Anatoliy K. Prykarpatsky, Nikolai N. Bogolubov, Prykarpatsky, Anatoliy K. +5
Computer Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0902.4411

Available at: http://publications.ictp.it

arxiv created 2009/02/25 · openalex publication_date 2009/02/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Quantum mechanical computers
• Quantum theory, the Church–Turing principle and the universal quantum computer
• Simulating physics with computers

Cited by

• The Field Structure of Vacuum, Maxwell Equations and Relativity Theory Aspects. Part 1

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