The book presents the materials of papers (reports) of the II International Scientific Conference "Quantum Systems in Chemistry, Physics and Mathematics" (Odessa State Environmental University, Ministry of Education and Science of Ukraine, December 1 - 7, 2018, Odessa, Ukraine), which contain new methods and solutions of a whole number of topical issues in the modern quantum mathematics, chemistry, physics (in particular, quantum geometry and algebra, quantum optics, spectroscopy, laser physics, dynamics of atomic and nuclear systems, atomic and molecular systems in strong external fields, new concepts and methods in quantum chemistry, physics, mathematics, relativistic effects in quantum systems, molecular structure, dynamics and spectroscopy, atomic, electronic collision, the use of the theory of quantum systems in computer science, Geo and Environmental sciences etc.).

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