Introductive backgrounds to modern quantum mathematics with application to nonlinear dynamical systems
DOI10.1007/s10773-008-9721-2zbMath1160.81312arXiv0902.4411OpenAlexW2033312291MaRDI QIDQ1008220
Nikolai N. jun. Bogoliubov, Ufuk Taneri, Anatoliy K. Prykarpatsky, Jolanta Golenia
Publication date: 24 March 2009
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0902.4411
nonlinear dynamical systemscreation and annihilation operators\(C^{*}\)-algebra representationsBogolubov functional equationFock space imbedding methodquantum mathematics
General and philosophical questions in quantum theory (81P05) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)
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