Physics – Quantum Physics
Scientific paper
2010-05-03
Physics
Quantum Physics
24 pages, 2 figure. A full theory is proposed
Scientific paper
In this paper, we generalize the standard formalism of quantum mechanics to a quantum theory for a total system including one internal measuring apparatus. The generalization is mainly based on the limitedness of the measuring ability of the internal measuring apparatus, that is, the internal measuring apparatus can not measure all its own properties; this limitedness implies the possibility that measurements performed by the internal measuring apparatus can not distinguish between some pure-vector descriptions and some mixed-state descriptions of the total system. The proposed theory has three basic assumptions, which roughly speaking have the following contents: (i) Physical states of the total system can be associated with vectors in the total Hilbert space; (ii) the dynamical evolution of a state vector obeys Schr\"{o}dinger equation; and (iii) under a principle of compatible description and certain non-transition condition, a pure-vector description of the total system may imply the existence of certain mixed-state description. The principle of compatible description states that different mathematical descriptions for the same physical state of the total system must give consistent predictions for results of measurements performed by the internal measuring apparatus. This principle imposes a restriction to vectors in the Hilbert space and this may effectively break the time-reversal symmetry of Schr\"{o}dinger equation. As applications of the proposed theory, the possibility for an $n$-level system to possess definite properties is discussed and a master equation is derived for the time evolution of a system that may have definite properties for most of the times.
No associations
LandOfFree
Quantum theory for a total system with one internal measuring apparatus does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantum theory for a total system with one internal measuring apparatus, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum theory for a total system with one internal measuring apparatus will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-658814