Abstract:
A model operator similar to the energy operator of a system with a nonconserved number of particles is studied. The essential spectrum of the operator is described, and under some natural conditions on the parameters it is shown that there are infinitely many eigenvalues lying below the bottom of the essential spectrum.
Keywords:model operator, energy operator, systems with nonconserved number of particles, eigenvalues, Efimov effect, essential spectrum, infinitely many eigenvalues.
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