2,945 research outputs found
Spectrum of the d-bar Neumann Laplacian on the Fock space
The spectrum of the d-bar-Neumann Laplacian on the Fock space
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.Comment: 8 page
XPS as a Probe of Gap Opening in Many Electron Systems
Core hole photoemission (XPS) provides a powerful indirect probe of the low
energy excitations of a many electron system. We argue that XPS can be used to
study the way in which a gap opens at a metal-superconductor or metal-
insulator transition. We consider the "universal" physics of how the loss of
low energy excitations modifies XPS spectra in the context of several simple
models, considering in particular the case of a two dimensional d-wave
superconductor.Comment: 8 pages, 9 eps figure
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