Geodesic
Hull-range potentials and M.~G.~Krein's formula for generalized resolvents
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XV, Tome 149 (1986), pp. 7-23

Voir la notice de l'article provenant de la source Math-Net.Ru

For non-additive finite dimensional perturbations of an Hermitian operator Krein's formula is used to obtain arepresentation of scattering matrices with Hermitian $(n\times n)$-matrix as a parameter. Relying on this representation, we obtain explicit formulae for a number of new models of quantum mechanics with null-range potential. We also establish a connection of the parametrization obtained with phenomenological $S$-matrices and relevant Wigner's $R$-functions. 
@article{ZNSL_1986_149_a0,
     author = {V. M. Adamyan and B. S. Pavlov},
     title = {Hull-range potentials and {M.~G.~Krein's} formula for generalized resolvents},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {7--23},
     publisher = {mathdoc},
     volume = {149},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1986_149_a0/}
}
TY  - JOUR
AU  - V. M. Adamyan
AU  - B. S. Pavlov
TI  - Hull-range potentials and M.~G.~Krein's formula for generalized resolvents
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1986
SP  - 7
EP  - 23
VL  - 149
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1986_149_a0/
LA  - ru
ID  - ZNSL_1986_149_a0
ER  - 
%0 Journal Article
%A V. M. Adamyan
%A B. S. Pavlov
%T Hull-range potentials and M.~G.~Krein's formula for generalized resolvents
%J Zapiski Nauchnykh Seminarov POMI
%D 1986
%P 7-23
%V 149
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_1986_149_a0/
%G ru
%F ZNSL_1986_149_a0
V. M. Adamyan; B. S. Pavlov. Hull-range potentials and M.~G.~Krein's formula for generalized resolvents. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XV, Tome 149 (1986), pp. 7-23. http://geodesic.mathdoc.fr/item/ZNSL_1986_149_a0/