Spectrum of the ∂¯-Neumann Laplacian on the Fock space

The spectrum of the ∂¯-Neumann Laplacian on the Fock space L2(Cn,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 ∂¯-Neumann Laplacian on the Fock space is closely related to Schrödinger operators with magnetic fields and to the complex Witten Laplacian.