On an unconditional basis of generalized eigenvectors of the nonselfadjoint Gribov operator in Bargmann space
One of the attempts to understand strong interactions is governed by a nonselfadjoint Gribov operator constructed as a polynomial in \(A, A^{*},\) the standard Bose annihilation and creation operators. In the reviewed article it is proved that the system of generalized eigenvectors of the Gribov operator is an unconditional basis in Bargmann space. The authors give a generalized diagonalization in the Abel sense of the semigroups assiciated to Gribov operator and to its square root.
Bose annihilation and creation operators
scientific article; zbMATH DE number 1274908