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.

• Författare: Mikael Persson Sundqvist
• Publiceringsår: 2005
• Språk: Engelska
• Sidor: 1-16
• Publikation/Tidskrift/Serie: Electronic Journal of Differential Equations
• Volym: 55
• Länkar: http://ejde.math.txstate.edu/Volumes/2005/55/abstr.html; http://ejde.math.txstate.edu/Volumes/2005/55/persson.pdf
• Dokumenttyp: Artikel i tidskrift
• Förlag: Texas State University - San Marcos Department of Mathematics
• Ämne: Mathematics
• Status: Published
• ISBN/ISSN/Övrigt: ISSN: 1550-6150