ON THE ESSENTIAL SPECTRUM OF A QUADRATIC OPERATOR MATRIX OF ORDER 4

Tulkin Rasulov

Abstract


In the present paper, we precisely describe the location of the essential spectrum of a quadratic operator matrix A4 of order 4 associated to a system describing four particles in interaction, without conservation of the number of particles, in the quasi-momentum representation. It is also established that the essential spectrum of A4 consists of no more than seven bounded closed intervals.


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