# Number of bound states of Schrödinger operators with matrix-valued potentials

Frank R, Lieb É, Seiringer R. 2007. Number of bound states of Schrödinger operators with matrix-valued potentials. Letters in Mathematical Physics. 82(2–3), 107–116.

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*Journal Article*|

*Published*

Author

Frank, Rupert L;
Lieb, Élliott H;
Seiringer, Robert

^{IST Austria}^{}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.

Publishing Year

Date Published

2007-12-01

Journal Title

Letters in Mathematical Physics

Volume

82

Issue

2-3

Page

107 - 116

IST-REx-ID

### Cite this

Frank R, Lieb É, Seiringer R. Number of bound states of Schrödinger operators with matrix-valued potentials.

*Letters in Mathematical Physics*. 2007;82(2-3):107-116. doi:10.1007/s11005-007-0211-xFrank, R., Lieb, É., & Seiringer, R. (2007). Number of bound states of Schrödinger operators with matrix-valued potentials.

*Letters in Mathematical Physics*. Springer. https://doi.org/10.1007/s11005-007-0211-xFrank, Rupert, Élliott Lieb, and Robert Seiringer. “Number of Bound States of Schrödinger Operators with Matrix-Valued Potentials.”

*Letters in Mathematical Physics*. Springer, 2007. https://doi.org/10.1007/s11005-007-0211-x.R. Frank, É. Lieb, and R. Seiringer, “Number of bound states of Schrödinger operators with matrix-valued potentials,”

*Letters in Mathematical Physics*, vol. 82, no. 2–3. Springer, pp. 107–116, 2007.Frank, Rupert, et al. “Number of Bound States of Schrödinger Operators with Matrix-Valued Potentials.”

*Letters in Mathematical Physics*, vol. 82, no. 2–3, Springer, 2007, pp. 107–16, doi:10.1007/s11005-007-0211-x.**All files available under the following license(s):**

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