Variational principles and the virial theorem in quantum scattering theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 1, pp. 62-74
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Problems concerning some functionals of quantum scattering theory in three-dimensional
space are studied. Variation principles for these functionals are formulated.
The virial theorem for the continuous spectrum is derived with the aid of one of
these variation principles. This theorem makes it possible to obtain a new representation
for the spectral shift function. On the basis of this representation the new expression
for the second group integral is found.
@article{TMF_1977_31_1_a6,
author = {M. I. Lomonosov and A. E. Oganyan and K. P. Cherkasova},
title = {Variational principles and the virial theorem in quantum scattering theory},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {62--74},
publisher = {mathdoc},
volume = {31},
number = {1},
year = {1977},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1977_31_1_a6/}
}
TY - JOUR AU - M. I. Lomonosov AU - A. E. Oganyan AU - K. P. Cherkasova TI - Variational principles and the virial theorem in quantum scattering theory JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1977 SP - 62 EP - 74 VL - 31 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1977_31_1_a6/ LA - ru ID - TMF_1977_31_1_a6 ER -
%0 Journal Article %A M. I. Lomonosov %A A. E. Oganyan %A K. P. Cherkasova %T Variational principles and the virial theorem in quantum scattering theory %J Teoretičeskaâ i matematičeskaâ fizika %D 1977 %P 62-74 %V 31 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1977_31_1_a6/ %G ru %F TMF_1977_31_1_a6
M. I. Lomonosov; A. E. Oganyan; K. P. Cherkasova. Variational principles and the virial theorem in quantum scattering theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 1, pp. 62-74. http://geodesic.mathdoc.fr/item/TMF_1977_31_1_a6/