Semi-classical properties of Berezin–Toeplitz operators with C{sup k}-symbol

Journal Article · Tue Apr 15 00:00:00 EDT 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4870869· OSTI ID:22250783

Barron, Tatyana; Pinsonnault, Martin ^[1]; Ma, Xiaonan ^[2]; Marinescu, George ^[3]

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1. Department of Mathematics, University of Western Ontario, London, Ontario N6A 5B7 (Canada)
2. Institut Universitaire de France and Université Paris Diderot–Paris 7, UFR de Mathématiques, Case 7012, 75205 Paris Cedex 13 (France)
3. Mathematisches Institut, Universität zu Köln, Weyertal 86-90, 50931 Köln, Germany and Institute of Mathematics “Simion Stoilow,” Romanian Academy, Bucharest (Romania)

We obtain the semi-classical expansion of the kernels and traces of Toeplitz operators with C{sup k}-symbol on a symplectic manifold. We also give a semi-classical estimate of the distance of a Toeplitz operator to the space of self-adjoint and multiplication operators.

• OSTI ID: 22250783
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DISTANCE
KERNELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE