Quantum mathematics: backgrounds and some applications to nonlinear dynamical systems

• Published in: Нелінійні коливання
• Date: 2008
• Main Authors: Bogolubov, N.N., Golenia, J., Prykarpatsky, A.K., Taneri, U.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/178153
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Quantum mathematics: backgrounds and some applications to nonlinear dynamical systems / N.N. Bogolubov, J. Golenia, A.K. Prykarpatsky, U. Taneri // Нелінійні коливання. — 2008. — Т. 11, № 1. — С. 7-20. — Бібліогр.: 31 назв. — англ.

Backgrounds of a new mathematical physics discipline ’Quantum Mathematics’ are discussed and analyzed from both historical and analytical points of view. The magic properties of the second quantization method, invented by V. Fock in 1934, are demonstrated, and an impressive application to the nonl...