Semi-classical properties of Berezin--Toeplitz operators with $\cC^k$--\,symbol
| Autor: | Martin Pinsonnault, Xiaonan Ma, George Marinescu, Tatyana Barron |
|---|---|
| Přispěvatelé: | Department of Mathematics, University of Western Ontario (UWO), Institut de Mathématiques de Jussieu (IMJ), Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS), Mathematisches Institut, Universität zu Köln, Universität zu Köln = University of Cologne |
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
Mathematics - Differential Geometry
Pure mathematics Berezin-Toeplitz quantization Dirac operator FOS: Physical sciences Space (mathematics) symbols.namesake [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] semi-classical limit FOS: Mathematics Mathematics::Symplectic Geometry Mathematical Physics Symplectic manifold Mathematics Mathematics::Operator Algebras Statistical and Nonlinear Physics Mathematical Physics (math-ph) Toeplitz matrix [MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG] Differential Geometry (math.DG) Mathematics - Symplectic Geometry Symbol (programming) [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] symbols Symplectic Geometry (math.SG) Multiplication Toeplitz operator |
| Zdroj: | Journal of Mathematical Physics Journal of Mathematical Physics, American Institute of Physics (AIP), 2014, 55 (4), pp.042108. ⟨10.1063/1.4870869⟩ Journal of Mathematical Physics, 2014, 55 (4), pp.042108. ⟨10.1063/1.4870869⟩ |
| ISSN: | 0022-2488 |
| Popis: | We obtain the semi-classical expansion of the kernels and traces of Toeplitz operators with $\cC^k$--\,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. Final version, 27 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|