ON THE ESSENTIAL SPECTRUM OF A QUADRATIC OPERATOR MATRIX OF ORDER 4
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Аннотация
In the present paper, we precisely describe the location of the essential spectrum of
a quadratic operator matrix A 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 A consists of no more than seven bounded closed intervals.
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Библиографические ссылки
C. Tretter, Spectral Theory of Block Operator Matrices and Applications, Imperial College Press, 2008.
T. H. Rasulov, M. I. Muminov and M. Hasanov, On the spectrum of a model operator in Fock space, Methods of Functional Analysis and Topology 15(4) (2009), 369-383.
T. H. Rasulov, Investigations of the essential spectrum of a Hamiltonian in Fock space, Applied Mathematics and Information Sciences 4(3) (2010), 395-412.