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• W2023377107 abstract "In many physical systems it is important to be aware of the crossings and avoided crossings which occur when eigenvalues of a physical observable are varied using an external parameter. We have discovered a powerful algebraic method of finding such crossings via a mapping to the problem of locating the roots of a polynomial in that parameter. We demonstrate our method on atoms and molecules in a magnetic field, where it has implications in the search for Feshbach resonances. In the atomic case our method allows us to point out a new class of invariants of the Breit-Rabi Hamiltonian of magnetic resonance. In the case of molecules, it enables us to find curve crossings with practically no knowledge of the corresponding Born-Oppenheimer potentials." @default.
• W2023377107 created "2016-06-24" @default.
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• W2023377107 date "2006-10-04" @default.
• W2023377107 modified "2023-09-24" @default.
• W2023377107 title "Detecting Level Crossings without Looking at the Spectrum" @default.
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• W2023377107 doi "https://doi.org/10.1103/physrevlett.97.140405" @default.
• W2023377107 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/17155226" @default.
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