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Number of Bound States of Schrödinger Operators with Matrix-Valued Potentials |
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| Authors: | Rupert L Frank Elliott H Lieb Robert Seiringer |
| Institution: | (1) Department of Mathematics, Princeton University, Washington Road, Princeton, NJ 08544, USA;(2) Departments of Mathematics and Physics, Princeton University, P. O. Box 708, Princeton, NJ 08544, USA;(3) Department of Physics, Princeton University, P. O. Box 708, Princeton, NJ 08544, USA |
| Abstract: | We give a Cwikel–Lieb–Rozenblum type bound on the number of bound states of Schrödinger operators with matrix-valued potentials using the functional integral method of Lieb. This significantly improves the constant in this inequality obtained earlier by Hundertmark. |
| Keywords: | Primary: 35P15 Secondary: 35J10 47F05 81Q10 |
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