Semi-classical asymptotics for the counting functions and Riesz means of Pauli and Dirac operators with large magnetic fields

Details Semi-classical asymptotics for the counting functions and Riesz means of Pauli and Dirac operators with large magnetic fields Semi-classical asymptotics for the counting functions and Riesz means of Pauli and Dirac operators with large magnetic fields

1999-11-09

arxiv.org/abs/math-ph/9911013v1

Physics

Mathematical Physics

Scientific paper

We study the asymptotic behavior, as Planck's constant $\hbar\to 0$, of the number of discrete eigenvalues and the Riesz means of Pauli and Dirac operators with a magnetic field $\mu\mathbf{B}(x)$ and an electric field. The magnetic field strength $\mu$ is allowed to tend to infinity as $\hbar\to 0$. Two main types of results are established: in the first $\mu\hbar\le constant$ as $\hbar\to 0$, with magnetic fields of arbitrary direction; the second results are uniform with respect to $\mu\ge 0$ but the magnetic fields have constant direction. The results on the Pauli operator complement recent work of Sobolev.

Affiliated with

Also associated with

No associations

Rating

Semi-classical asymptotics for the counting functions and Riesz means of Pauli and Dirac operators with large magnetic fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Semi-classical asymptotics for the counting functions and Riesz means of Pauli and Dirac operators with large magnetic fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semi-classical asymptotics for the counting functions and Riesz means of Pauli and Dirac operators with large magnetic fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-496133