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On the number of eigenvalues of a model operator in fermionic Fock space

Zahriddin MuminovSamarkand State University, Samarkand, UzbekistanFudziah IsmailUNIVERSITI PUTRA MALAYSIAZ. K. EshkuvatovUNIVERSITI PUTRA MALAYSIA
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Аннотация

We consider a model describing a truncated operator H (truncated with respect to the number of particles) acting in the direct sum of zero-, one-, and two-particle subspaces of a fermionic Fock space a(L2(3)) over L2(3). We admit a general form for the "kinetic" part of the hamiltonian H, which contains a parameter γ to distinguish the two identical particles from the third one.

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