On the Spectra of Momentum Operators

On the Spectra of Momentum Operators

The selfadjoint momentum operators acting in two intervals are parametrized by the unitary two-by-two matrices. Fixing a parametrization of the unitary two-by-two matrices we study how the spectra of the selfadjoint momentum operators depends on these parameters as well as on the lengths of the two...

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Veröffentlicht in:Complex analysis and operator theory 2015-10, Vol.9 (7), p.1557-1587
Hauptverfasser: Pedersen, Steen, Phillips, Jason D., Tian, Feng, Watson, Cody E.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
Operator Theory
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Beschreibung
Zusammenfassung:The selfadjoint momentum operators acting in two intervals are parametrized by the unitary two-by-two matrices. Fixing a parametrization of the unitary two-by-two matrices we study how the spectra of the selfadjoint momentum operators depends on these parameters as well as on the lengths of the two intervals.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-014-0409-8