Some estimates concerning the Zeeman effect
Studia Mathematica, Tome 105 (1993) no. 1, pp. 13-23
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.
@article{10_4064_sm_105_1_13_23,
author = {Wies{\l}aw Cupa{\l}a},
title = {Some estimates concerning the {Zeeman} effect},
journal = {Studia Mathematica},
pages = {13--23},
year = {1993},
volume = {105},
number = {1},
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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