ON THE ESSENTIAL SPECTRUM OF A MATRIX OPERATOR ON A HILBERT SPACE
Keywords:
Schrödinger operator, Fock space, channel operators, spectrum, eigenvalueAbstract
We study essential spectrum of a matrix operator ℍ, that describes three particles interacting in the direct sum of certain subspaces of the Fock space. It is shown that the essential spectrum of this operator lies in the real axis and is described as a union of segments. Moreover, we establish the maximum for number of segments.
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