Quantum Model of Classical Mechanics: Maximum Entropy Packets

Hájı́ček, P.

doi:10.1007/s10701-009-9318-5

Cited by 11 publications

(47 citation statements)

References 19 publications

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“…Under these conditions, the microsystems can be considered as physical objects. This also helps to explain the emergence of classical properties [30]. The double-ruling and the Schrödinger-cat paradoxes are shown to be related.…”

Section: Introductionmentioning

confidence: 81%

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Survey of an approach to quantum measurement, classical properties and realist interpretation problems

Hájı́ček¹,

Tolar²

2010

Acta Physica Slovaca. Reviews and Tutorials

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The paper gives a systematic review of the basic ideas of (non-relativistic) quantum mechanics including all improvements that result from previous work of the authors. The aim is to show that the new theory is self-consistent and that it reproduces all measurable predictions of standard quantum mechanics. The most important improvements are: 1) A new realist interpretation of quantum mechanics assumes that all properties that are uniquely determined by preparations can be viewed as objective. These properties are then sufficient to justify the notion of quantum object. 2) Classical systems are defined as macroscopic quantum objects in states close to maximum entropy. For classical mechanics, new states of such kind are introduced, the so-called maximum-entropy packets, and shown to approximate classical dynamics better than Gaussian wave packets. 3) A new solution of quantum measurement problem is proposed for measurements that are performed on microsystems. First, it is assumed that readings of registration apparatuses are always signals from detectors. Second, an application of the cluster separability principle leads to a locality requirement on observables and to the key notion of separation status. Separation status of a microsystem is shown to change in preparation and registration processes. This gives preparation and registration new meaning and enhances the importance of these notions. Changes of separation status are alterations of kinematic description rather than some parts of dynamical trajectories and thus more radical than 'collapse of the wave function'. Standard quantum mechanics does not provide any information of how separation status changes run, hence new rules must be formulated. As an example of such a new rule, Beltrametti-Cassinelli-Lahti model of measurement is modified and shown then to satisfy both the probability-reproducibility and the objectification requirements.

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Section: Introductionmentioning

confidence: 81%

“…In any case, statistical methods can be generalised as follows [30]. We assume that the maximum entropy principle underlies all classical properties:…”

Section: Modified Correspondence Principlementioning

confidence: 99%

Survey of an approach to quantum measurement, classical properties and realist interpretation problems

Hájı́ček¹,

Tolar²

2010

Acta Physica Slovaca. Reviews and Tutorials

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“…There is also some physical meaning of the relative phases of the coefficients of decomposition (18). This can be seen experimentally by means of the interference phenomena and correlations.…”

Section: )mentioning

confidence: 99%

“…The resulting time dependence of averages and variances resulting from Equations (82), (72) and (73) are [18] Q…”

Section: Inserting (80) For H We Obtainqmentioning

confidence: 99%

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Quantum Models of Classical World

Hájı́ček

2013

Entropy

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This paper is a review of our recent work on three notorious problems of non-relativistic quantum mechanics: realist interpretation, quantum theory of classical properties, and the problem of quantum measurement. A considerable progress has been achieved, based on four distinct new ideas. First, objective properties are associated with states rather than with values of observables. Second, all classical properties are selected properties of certain high entropy quantum states of macroscopic systems. Third, registration of a quantum system is strongly disturbed by systems of the same type in the environment. Fourth, detectors must be distinguished from ancillas and the states of registered systems are partially dissipated and lost in the detectors. The paper has two aims: a clear explanation of all new results and a coherent and contradiction-free account of the whole quantum mechanics including all necessary changes of its current textbook version.

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Intrinsic Properties of Quantum Systems

Hájı́ček

Tolar

2009

Found Phys

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A new realist interpretation of quantum mechanics is introduced. Quantum systems are shown to have two kinds of properties: the usual ones described by values of quantum observables, which are called extrinsic, and those that can be attributed to individual quantum systems without violating standard quantum mechanics, which are called intrinsic. The intrinsic properties are classified into structural and conditional. A systematic and self-consistent account is given. Much more statements become meaningful than any version of Copenhagen interpretation would allow. A new approach to classical properties and measurement problem is suggested. A quantum definition of classical states is proposed.Keywords Intrinsic vs. extrinsic properties of quantum systems · Structural and conditional intrinsic properties · Classicality · Classical property of quantum linear chain · Quantum measurement

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Quantum Model of Classical Mechanics: Maximum Entropy Packets

Cited by 11 publications

References 19 publications

Survey of an approach to quantum measurement, classical properties and realist interpretation problems

Survey of an approach to quantum measurement, classical properties and realist interpretation problems

Quantum Models of Classical World

Intrinsic Properties of Quantum Systems

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