- 04-182 Vladimir Georgescu, Sylvain Golenia
- Isometries, Fock Spaces, and Spectral Analysis of
Schroedinger Operators on Trees
(347K, PDF)
Jun 9, 04
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Abstract. We construct conjugate operators for the real part of a completely non
unitary isometry and we give applications to the spectral and scattering
theory of a class of operators on (complete) Fock spaces, natural
generalizations of the Schroedinger operators on trees. We consider
C*-algebras generated by such Hamiltonians with certain types of
anisotropy at infinity, we compute their quotient with respect to the
ideal of compact operators, and give formulas for the essential
spectrum of these Hamiltonians.
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