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- Title
Quartic numerical range of a tridiagonal 4 × 4 self-adjoint operator matrices.
- Authors
H. M., Latipov; T. H., Rasulov
- Abstract
In this paper we consider a tridiagonal 4×4 self-adjoint operator matrix A. A new formula for the calculating of the quartic numerical range of A is found. The estimates for the lower and upper bounds of A are established. Our results are applied to Hamiltonians, associated with a system describing four particles in interaction, without conservation of the number of particles on a lattice.
- Subjects
MATRICES (Mathematics); PARTICLE interactions; FOCK spaces; SELFADJOINT operators
- Publication
Uzbek Mathematical Journal, 2022, Vol 66, Issue 4, p53
- ISSN
2010-7269
- Publication type
Article