Kato's Inequality for Magnetic Relativistic Schrödinger Operators

Fumio Hiroshima, Takashi Ichinose, József Lőrinczi
2017 Publications of the Research Institute for Mathematical Sciences  
Kato's inequality is shown for the magnetic relativistic Schrödinger operator H A,m defined as the operator theoretical square root of the selfadjoint, magnetic nonrelativistic Schrödinger operator (−i∇ − A(x)) 2 + m 2 with an L 2 loc vector potential A(x). ----------Mathematics Subject Classification (2010): 47A50; 81Q10; 47B25; 47N50; 47D06; 47D08.
doi:10.4171/prims/53-1-3 fatcat:6xrnu4dwivc5lfkjcvwzgdhere