Hermiticity of Quantum Observables Versus Commutation Relations |
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Authors: | M I Shirokov |
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Institution: | (1) Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia |
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Abstract: | In order to obtain sum rules and spectral representations the Hermiticity property ![lang](/content/t4w825424u776157/xxlarge9001.gif) , A![PHgr](/content/t4w825424u776157/xxlarge934.gif) = A ,![PHgr](/content/t4w825424u776157/xxlarge934.gif) of observables is used. It is shown that for certain and the property turns out to be inconsistent with the commutation relations that contain A. The known Schwinger paradox is explained by this inconsistency. |
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Keywords: | quantum mechanics quantum field theory commutation relations hermitian operators schwinger paradox sum rules |
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