Spectrum of the d-bar Neumann Laplacian on the Fock space

Friedrich Haslinger

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arXiv · 1301.7666

Spectrum of the d-bar Neumann Laplacian on the Fock space

Friedrich Haslinger

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Abstract

The spectrum of the d-bar-Neumann Laplacian on the Fock space $L^2(\mathbb{C}^n, e^{-|z|^2})$ is explicitly computed. It turns out that it consists of positive integer eigenvalues each of which is of infinite multiplicity. Spectral analysis of the d-bar-Neumann Laplacian on the Fock space is closely related to Schr\"odinger operators with magnetic field and to the complex Witten-Laplacian.

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Friedrich Haslinger. 2013-01-31. Spectrum of the d-bar Neumann Laplacian on the Fock space. https://arxiv.org/abs/1301.7666

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