Quantum-mechanical models in~$R_n$ associated with extensions of the energy operator in a~Pontryagin space
Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 3, pp. 331-344
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The paper describes self-adjoint extensions of the operator $H_0=-\Delta$ from the Hilbert space $L_2(R_n)$ to a certain Pontryagin space generated by “interactions” represented by generalized functions. Hamiltonians of quantum-mechanical models are obtained by restricting such extensions to positive invariant subspaces.
@article{TMF_1988_74_3_a1,
author = {Yu. G. Shondin},
title = {Quantum-mechanical models in~$R_n$ associated with extensions of the energy operator in {a~Pontryagin} space},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {331--344},
publisher = {mathdoc},
volume = {74},
number = {3},
year = {1988},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1988_74_3_a1/}
}
TY - JOUR AU - Yu. G. Shondin TI - Quantum-mechanical models in~$R_n$ associated with extensions of the energy operator in a~Pontryagin space JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1988 SP - 331 EP - 344 VL - 74 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1988_74_3_a1/ LA - ru ID - TMF_1988_74_3_a1 ER -
%0 Journal Article %A Yu. G. Shondin %T Quantum-mechanical models in~$R_n$ associated with extensions of the energy operator in a~Pontryagin space %J Teoretičeskaâ i matematičeskaâ fizika %D 1988 %P 331-344 %V 74 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1988_74_3_a1/ %G ru %F TMF_1988_74_3_a1
Yu. G. Shondin. Quantum-mechanical models in~$R_n$ associated with extensions of the energy operator in a~Pontryagin space. Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 3, pp. 331-344. http://geodesic.mathdoc.fr/item/TMF_1988_74_3_a1/