A Lieb-Thirring bound for a magnetic Pauli Hamiltonian (II).

Bugliaro, Luca, Fefferman, Charles L., and Graf, Gian Michele. "A Lieb-Thirring bound for a magnetic Pauli Hamiltonian (II).." Revista Matemática Iberoamericana 15.3 (1999): 593-619. <http://eudml.org/doc/39578>.

@article{Bugliaro1999,
abstract = {We establish a Lieb-Thirring type estimate for Pauli Hamiltonians with non-homogeneous magnetic fields. Besides of depending on the size of the field, the bound also takes into account the size of the field gradient. We then apply the inequality to prove stability of non-relativistic quantum mechanical matter coupled to the quantized ultraviolet-cutoff electromagnetic field for arbitrary values of the fine structure constant.},
author = {Bugliaro, Luca, Fefferman, Charles L., Graf, Gian Michele},
journal = {Revista Matemática Iberoamericana},
keywords = {Sistema hamiltoniano; Gradientes; Campo electromagnético},
language = {eng},
number = {3},
pages = {593-619},
title = {A Lieb-Thirring bound for a magnetic Pauli Hamiltonian (II).},
url = {http://eudml.org/doc/39578},
volume = {15},
year = {1999},
}

TY - JOUR
AU - Bugliaro, Luca
AU - Fefferman, Charles L.
AU - Graf, Gian Michele
TI - A Lieb-Thirring bound for a magnetic Pauli Hamiltonian (II).
JO - Revista Matemática Iberoamericana
PY - 1999
VL - 15
IS - 3
SP - 593
EP - 619
AB - We establish a Lieb-Thirring type estimate for Pauli Hamiltonians with non-homogeneous magnetic fields. Besides of depending on the size of the field, the bound also takes into account the size of the field gradient. We then apply the inequality to prove stability of non-relativistic quantum mechanical matter coupled to the quantized ultraviolet-cutoff electromagnetic field for arbitrary values of the fine structure constant.
LA - eng
KW - Sistema hamiltoniano; Gradientes; Campo electromagnético
UR - http://eudml.org/doc/39578
ER -