 01201 Marius Mantoiu
 On a Class of Anisotropic Schrodinger Operators
(491K, Postscript)
May 30, 01

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Abstract. We introduce a C*algebra containing the resolvents of a certain class
of Schrodinger operators. Their potentials are anisotropic; they tend
in radial directions to (different) almost periodic functions. The
technique consists in defining a suitable compactification of the
configuration space; a rather straightforward procedure leads then to
the relevant C*algebra. It is shown that the quotient of this
C*algebra by the ideal of compact operators has a remarcable structure.
As an application, we calculate the spectrum of the affiliated
anisotropic operators in terms of the spectra of a family of "asymptotic
Hamiltonians".
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