caa a22 4500 465754643 CHVBK 20180323111843.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF01170023 doi (NATIONALLICENCE)springer-10.1007/BF01170023 Löwdin Per-Olov Quantum Theory Project, Departments of Chemistry and Physics, University of Florida, Gainesville, 32611, FL, USA aut Concepts of convergence in mathematical chemistry [Elektronische Daten] [Per-Olov Löwdin] Some concepts of convergence used in mathematical chemistry are briefly reviewed: number convergence, uniform and non-uniform function convergence, convergence in norm and binary product, operator convergence, computer convergence, etc. Some properties of the abstract Hilbert space and some of its realizations in mathematical chemistry are discussed. Finally, it is pointed out that the scattering wave functions of importance in the theory of chemical reactions are limit points of theL 2Hilbert space — not in the norm, but in the sense of a non-uniform point-by-point convergence, which is of essential value in practical applications. J.C. Baltzer AG, Publishing Company, 1990 Journal of Mathematical Chemistry Kluwer Academic Publishers 4/1(1990-12-01), 401-414 0259-9791 4:1<401 1990 4 10910 https://doi.org/10.1007/BF01170023 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01170023 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Löwdin Per-Olov Quantum Theory Project, Departments of Chemistry and Physics, University of Florida, Gainesville, 32611, FL, USA aut NATIONALLICENCE 773 0- Journal of Mathematical Chemistry Kluwer Academic Publishers 4/1(1990-12-01), 401-414 0259-9791 4:1<401 1990 4 10910 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer