A peculiarity of the creation operator

DOI10.1017/S0017089502010091zbMath1045.47023MaRDI QIDQ4531394

Franciszek Hugon Szafraniec, Jan Stochel

Publication date: 5 August 2002

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

creation operatortranslation invarianceweighted shiftunitary equivalenceSchrödinger coupleHeisenberg couple

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Subnormal operators, hyponormal operators, etc. (47B20) Commutators, derivations, elementary operators, etc. (47B47) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Commutation relations and statistics as related to quantum mechanics (general) (81S05) (C)-semigroups, regularized semigroups (47D60)

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Normal extensions escape from the class of weighted shifts on directed trees ⋮ Jan Stochel, a stellar mathematician ⋮ A characterization of the Hamiltonian ⋮ Sectorial forms and unbounded subnormals ⋮ How to recognize the creation operator

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