Magnetic Lieb-Thirring inequalities on the torus. (English) Zbl 1532.35319
Summary: In this paper we prove Lieb-Thirring inequalities for magnetic Schrödinger operators on the torus, where the constants in the inequalities depend on the magnetic flux.
MSC:
| 35P15 | Estimates of eigenvalues in context of PDEs |
| 35J10 | Schrödinger operator, Schrödinger equation |
| 46E35 | Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems |
| 26D10 | Inequalities involving derivatives and differential and integral operators |
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