An algebraic approach of non-self-adjoint Hamiltonians in Krein spaces

Through our series of studies, we have constructed some physical operators such as non-self-adjoint Hamiltonians H, lowering operators A, and raising operators B and their adjoint H†, A†, and B† from generalized Riesz systems. However, we cannot consider the *-algebraic structure of their operators...

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Veröffentlicht in:	Journal of mathematical physics 2021-11, Vol.62 (11)
1. Verfasser:	Inoue, Hiroshi
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Sprache:	eng
Schlagworte:	Algebra Operators (mathematics) Physics
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container_title	Journal of mathematical physics
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description	Through our series of studies, we have constructed some physical operators such as non-self-adjoint Hamiltonians H, lowering operators A, and raising operators B and their adjoint H†, A†, and B† from generalized Riesz systems. However, we cannot consider the -algebraic structure of their operators because even the sum H + H† is not well-defined. Our purpose of this paper is to introduce the -algebra structure of all their operators by defining a certain Krein space.
doi_str_mv	10.1063/5.0061797
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source	美国小型学会期刊集（AIP Scitation平台）; Alma/SFX Local Collection
subjects	Algebra Operators (mathematics) Physics
title	An algebraic approach of non-self-adjoint Hamiltonians in Krein spaces
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