caa a22 4500 467948038 CHVBK 20180405193739.0 cr unu---uuuuu 170328e20041101xx s 000 0 eng 10.1007/s10440-004-5591-7 doi (NATIONALLICENCE)springer-10.1007/s10440-004-5591-7 (NATIONALLICENCE)springer-10.1007/s10440-005-4591-6 Pegarkov Alexander Chemical Physics Theory Group, Department of Chemistry, University of Toronto, 80 St. George Street, Toronto, Ontario M5S 3H6, Canada, and Physics Faculty, Voronezh State University, 1 Universitetskaya Ploschad, 394693, Voronezh, Russia aut Matrix Technique for Nonperturbative Green Function of Time-Independent Schrödinger Equation [Elektronische Daten] [Alexander Pegarkov] A Green function of time-independent multi-channel Schrödinger equation is considered in matrix representation beyond a perturbation theory. Nonperturbative Green functions are obtained through the regular in zero and at infinity solutions of the multi-channel Schrödinger equation for different cases of symmetry of the full Hamiltonian. The spectral expansions for the nonperturbative Green functions are obtained in simple form through multi-channel wave functions. The developed approach is applied to obtain simple analytic equations for the Green functions and transition matrix elements for compound multi-potential system within quasi-classical approximation. The limits of strong and weak inter-channel interactions are studied. Kluwer Academic Publishers, 2004 Green function nationallicence Schrödinger equation nationallicence matrix nationallicence Acta Applicandae Mathematica Kluwer Academic Publishers 84/2(2004-11-01), 163-191 0167-8019 84:2<163 2004 84 10440 https://doi.org/10.1007/s10440-004-5591-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10440-004-5591-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Pegarkov Alexander Chemical Physics Theory Group, Department of Chemistry, University of Toronto, 80 St. George Street, Toronto, Ontario M5S 3H6, Canada, and Physics Faculty, Voronezh State University, 1 Universitetskaya Ploschad, 394693, Voronezh, Russia aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers 84/2(2004-11-01), 163-191 0167-8019 84:2<163 2004 84 10440 NATIONALLICENCE 100 1- Pegarkov Alexander Chemical Physics Theory Group, Department of Chemistry, University of Toronto, 80 St. George Street, M5S 3H6, Ontario, Toronto, Canada aut NATIONALLICENCE 856 40 https://doi.org/10.1007/s10440-005-4591-6 text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer