On the Spectrum of Certain Non-Commutative Harmonic Oscillators and Semiclassical Analysis
- First Online:
- 72 Downloads
A localization and “cardinality” property, along with a multiplicity result, of the spectrum of certain 2 × 2 globally elliptic systems of ordinary differential operators, a class of vector-valued deformations of the classical harmonic oscillator called non-commutative harmonic oscillators, will be described here. The basic tool is the study of a semiclassical reference system.
Unable to display preview. Download preview PDF.