On the Aharonov-Casher formula for different self-adjoint extensions of the Pauli operator with singular magnetic field

Summary, in English

Two different self-adjoint Pauli extensions describing a spin-1/2 two-dimensional quantum system with singular magnetic field are studied. An Aharonov-Casher type formula is proved for the maximal Pauli extension and the possibility of approximation of the two different self-adjoint extensions by operators with regular magnetic fields is investigated.

• Author: Mikael Persson Sundqvist
• Publishing year: 2005
• Language: English
• Pages: 1-16
• Publication/Series: Electronic Journal of Differential Equations
• Volume: 55
• Links: http://ejde.math.txstate.edu/Volumes/2005/55/abstr.html; http://ejde.math.txstate.edu/Volumes/2005/55/persson.pdf
• Document type: Journal article
• Publisher: Texas State University - San Marcos Department of Mathematics
• Topic: Mathematics
• Status: Published
• ISBN/ISSN/Other: ISSN: 1550-6150