### 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.

Original language | English (US) |
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Pages (from-to) | 107-116 |

Number of pages | 10 |

Journal | Letters in Mathematical Physics |

Volume | 82 |

Issue number | 2-3 |

DOIs | |

State | Published - Dec 1 2007 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Keywords

- Cwikel-Lieb-Rozenblum inequality
- Lieb-Thirring inequality
- Schrödinger operator

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## Cite this

Frank, R. L., Lieb, E. H., & Seiringer, R. (2007). Number of bound states of schrödinger operators with matrix-valued potentials.

*Letters in Mathematical Physics*,*82*(2-3), 107-116. https://doi.org/10.1007/s11005-007-0211-x