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Hermiticity of Quantum Observables Versus Commutation Relations
Authors:M I Shirokov
Institution:(1) Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia
Abstract:In order to obtain sum rules and spectral representations the Hermiticity property langPSgr, APHgrrang = lang APSgr,PHgrrang of observables is used. It is shown that for certain PSgr and PHgr the property turns out to be inconsistent with the commutation relations that contain A. The known Schwinger paradox is explained by this inconsistency.
Keywords:quantum mechanics  quantum field theory  commutation relations  hermitian operators  schwinger paradox  sum rules
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