Abstract
A Lieb-Thirring-Sobolev type inequality for Pauli Hamiltonians with magnetic fields is derived. The bound is in terms of an effective field, whose energy is comparable to that of the magnetic field itself. An application to the stability of matter in magnetic fields is given.
Original language | English (US) |
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Pages (from-to) | 567-582 |
Number of pages | 16 |
Journal | Communications In Mathematical Physics |
Volume | 187 |
Issue number | 3 |
DOIs | |
State | Published - 1997 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics