An explicit formula for a star product with separation of variables

Abstract

For a star product with separation of variables * on a pseudo-Kaehler manifold we give a simple closed formula of the total symbol of the left star multiplication operator L_f by a given function f. The formula for the star product f * g can be immediately recovered from the total symbol of L_f.

8 pages

References in corpus (4)

• Deformation quantization of Poisson manifolds, I
• Universality of Fedosov's Construction for Star Products of Wick Type on Pseudo-Kähler Manilfolds
• A Fedosov Star Product of Wick Type for Kähler Manifolds
• A Universal Formula for Deformation Quantization on Kähler Manifolds

Cited by in corpus (5)

• Explicit Formulae for Noncommutative Deformations of CP^N and CH^N
• Gauge Theories in Noncommutative Homogeneous Kähler Manifolds
• Twisted Fock Representations of Noncommutative Kähler Manifolds
• Gauge theories on noncommutative $\mathbb{C}{P}^N$ and BPS-like equations
• Noncommutative Deformations of Locally Symmetric Kähler manifolds