2015/08/26 by Yoh Tanimoto, Tanimoto, Yoh · 1 citation
Mathematics · Physics and Astronomy · #30H10 #47B25 (primary) #81T40 (secondary) #Advanced Mathematical Physics Problems #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.1508.06402
openalex publication_date 2015/08/26 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
We study self-adjoint extensions of operators which are the product of the\nmultiplication operator by an analytic function and the analytic continuation\nin a strip. We compute the deficiency indices of the product operator for a\nwide class of analytic functions. For functions of a particular form, we point\nout the existence of a self-adjoint extension which is unitarily equivalent to\nthe analytic-continuation operation.\n They appear in integrable quantum field theories as the one-particle\ncomponent of the operators which realize the bound states of elementary\nparticles and the existence of self-adjoint extension is a necessary step for\nthe construction of Haag-Kastler net for such models.\n