Some estimates concerning the Zeeman effect
Studia Mathematica, Tome 105 (1993) no. 1, pp. 13-23
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
The Itô integral calculus and analysis on nilpotent Lie grops are used to estimate the number of eigenvalues of the Schrödinger operator for a quantum system with a polynomial magnetic vector potential. An analogue of the Cwikel-Lieb-Rosenblum inequality is proved.
Keywords:
estimation of eigenvalues, Schrödinger operator
Affiliations des auteurs :
Wiesław Cupała 1
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author = {Wies{\l}aw Cupa{\l}a},
title = {Some estimates concerning the {Zeeman} effect},
journal = {Studia Mathematica},
pages = {13--23},
publisher = {mathdoc},
volume = {105},
number = {1},
year = {1993},
doi = {10.4064/sm-105-1-13-23},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-105-1-13-23/}
}
Wiesław Cupała. Some estimates concerning the Zeeman effect. Studia Mathematica, Tome 105 (1993) no. 1, pp. 13-23. doi: 10.4064/sm-105-1-13-23
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