WKB eigenmode construction for analytic Toeplitz operators

Abstract

We provide almost eigenfunctions for Toeplitz operators with real-analytic symbols, at the bottom of non-degenerate wells. These almost eigenfunctions follow the WKB ansatz; the error is O(exp(--cN)), where c > 0 and N $\to$ +$\infty$ is the inverse semiclassical parameter.

References in corpus (2)

• Analytic Bergman operators in the semiclassical limit
• On a property of Bergman kernels when the Kähler potential is analytic