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Almost Quotient Space, Non-dynamical Decoherence and Quantum Measurement

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 نشر من قبل Yi-Xin Chen
 تاريخ النشر 2014
  مجال البحث فيزياء
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An alternative approach to decoherence, named non-dynamical decoherence is developed and used to resolve the quantum measurement problem. According to decoherence, the observed system is open to a macroscopic apparatus(together with a possible added environment) in a quantum measurement process. We show that this open system can be well described by an almost quotient Hilbert space formed phenomenally according to some stability conditions. A group of random phase unitary operators is introduced further to obtain an exact quotient space for the observed system. In this quotient space, a density matrix can be constructed to give the Borns probability rule, realizing a (non-dynamical) decoherence. The concept of the (almost) quotient space can also be used to explain the classical properties of a macroscopic system. We show further that the definite outcomes in a quantum measurement are mainly caused by the almost quotient space of the macroscopic apparatus.

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