Toeplitz Operators on Symplectic Manifolds
Copyright policy )Toeplitz Operators on Symplectic Manifolds
We study the Berezin-Toeplitz quantization on symplectic manifolds making use of the full off-diagonal asymptotic expansion of the Bergman kernel. We give also a characterization of Toeplitz operators in terms of their asymptotic expansion. The semi-classical limit properties of the Berezin-Toeplitz quantization for non-compact manifolds and orbifolds are also established.
40 pages
- University of Niš Serbia
- Paris Diderot University France
- Romanian Academy Romania
- University of Cologne Germany
Mathematics - Differential Geometry, Berezin-Toeplitz quantization, 32A25, FOS: Physical sciences, Symplectic manifolds (general theory), Bergman kernel, Geometric quantization, 58F06, General geometric structures on manifolds (almost complex, almost product structures, etc.), FOS: Mathematics, Complex Variables (math.CV), Geometry and quantization, symplectic methods, Mathematical Physics, Mathematics - Complex Variables, 81S10, Mathematical Physics (math-ph), Almost complex manifolds, Toeplitz operator, Differential Geometry (math.DG), Mathematics - Symplectic Geometry, 58F06; 81S10;32A25;47B35, Integral representations; canonical kernels (Szegő, Bergman, etc.), Toeplitz operators, Hankel operators, Wiener-Hopf operators, Symplectic Geometry (math.SG), 47B35
Mathematics - Differential Geometry, Berezin-Toeplitz quantization, 32A25, FOS: Physical sciences, Symplectic manifolds (general theory), Bergman kernel, Geometric quantization, 58F06, General geometric structures on manifolds (almost complex, almost product structures, etc.), FOS: Mathematics, Complex Variables (math.CV), Geometry and quantization, symplectic methods, Mathematical Physics, Mathematics - Complex Variables, 81S10, Mathematical Physics (math-ph), Almost complex manifolds, Toeplitz operator, Differential Geometry (math.DG), Mathematics - Symplectic Geometry, 58F06; 81S10;32A25;47B35, Integral representations; canonical kernels (Szegő, Bergman, etc.), Toeplitz operators, Hankel operators, Wiener-Hopf operators, Symplectic Geometry (math.SG), 47B35
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