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Title: A magnetic contribution to the Hardy inequality

We study the quadratic form associated to the kinetic energy operator in the presence of an external magnetic field in d = 3. We show that if the radial component of the magnetic field does not vanish identically, then the classical lower bound given by Hardy is improved by a non-negative potential term depending on properties of the magnetic field.
Authors:
;  [1]
  1. Department of Mathematics, KTH Royal Institute of Technology, SE-10044 Stockholm (Sweden)
Publication Date:
OSTI Identifier:
22251564
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 2; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; KINETIC ENERGY; MAGNETIC FIELDS; POTENTIALS