Quantum mechanics without statistical postulates
نویسنده
چکیده
The Bohmian formulation of quantum mechanics is used in order to describe the measurement process in an intuitive way without a reduction postulate in the framework of a deterministic single system theory. Thereby the motion of the hidden classical particle is chaotic during almost all nontrivial measurement processes. For the correct reproduction of experimental results, it is further essential that the distribution function P (x) of the results of a position measurement is identical with |Ψ|2 of the wavefunction Ψ of the single system under consideration. It is shown that this feature is not an additional assumption, but can be derived strictly from the chaotic motion of a single system during a sequence of measurements, providing a completely deterministic picture of the statistical features of quantum mechanics.
منابع مشابه
The system with discrete interactions I: Some comments about the principles of quantum theory
The model of the physical system with discrete interactions is considered. The model is based on the postulates that: (i) parameters of the physical system are defined in process of its interaction; (ii) the process of interaction is discrete. The model gives an essential way to introduce all basic notions and obtain the results of the quantum theory, in particular the operator formalism of the...
متن کامل] 2 9 Ju n 20 05 1 Four - photon interference : a realizable experiment to demonstrate violation of EPR postulates for perfect correlations
Bell's theorem reveals contradictions between the predictions of quantum mechanics and the EPR postulates for a pair of particles only in situations involving imperfect statistical correlations. However , with three or more particles, contradictions emerge even for perfect correlations. We describe an experiment which can be realized in the laboratory, using four-photon entangled states generat...
متن کاملPosition Eigenstates and the Statistical Axiom of Quantum Mechanics
Quantum mechanics postulates the existence of states determined by a particle position at a single time. This very concept, in conjunction with superposition, induces much of the quantum-mechanical structure. In particular, it implies the time evolution to obey the Schrödinger equation, and it can be used to complete a truely basic derivation of the statistical axiom as recently proposed by Deu...
متن کاملMinimal Set of Quantum Postulates and Realistic Interpretation of Quantum Mechanics
We argue that quantum mechanics makes sense without such controversial postulates as the wave function collapse, the quantum probability rule and the observable postulate. We only need the existence of a wave function as a representation of a state, its dynamical evolution rule and another rather trivial postulate proposed here (Read-Off Postulate). The wave function collapse and the probabilit...
متن کاملOn the Postulates of Quantum Mechanics and their Interpretation
One arrives at very implausible theoretical conceptions, if one attempts to maintain the thesis that the statistical quantum theory is in principle capable of producing a complete description of an individual physical system. On the other hand, those difficulties of theoretical interpretation disappear, if one views the quantum mechanical description as the description of ensembles of systems. ...
متن کامل