Abstract
where X is a euclidean space and {lra: a E A} is a finite family of projections onto certain subspaces xa of X. We will always assume that the family {Xa: a E A} is closed with respect to the algebraic sum and contains Xamin : = {0}. The class of operators of the form (0.2) is a generalization of (0.1) up to a linear change of coordinates in the configuration space X. They usually go under the name of generalized N-body Schrbdinger operators and were first considered in [A]. (In what follows we will drop the word generalized.) We refer the reader to [RSi], vol. III, for a general introduction to N-body Schr6dinger operators defined as in equation (0.1). We will consistently use the definition (0.2) and assume that the reader is familiar with the physical meaning of various objects under study.
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