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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Bibliographic Details
Published in:Complex analysis and operator theory Vol. 9; no. 7; pp. 1557 - 1587
Main Authors: Pedersen, Steen, Phillips, Jason D., Tian, Feng, Watson, Cody E.
Format: Journal Article
Language:English
Published: Basel Springer Basel 01-10-2015
Subjects:
Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Momentum Operator
Selfadjoint Restrictions
Single Hermitian Operator
Graphene Quantum
Boundary Triplet
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Summary: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