Wave packet reduction in quantum mechanics: A model of a measuring apparatus

Cini, Michele; María, Mónica; Mattioli, G.; Nicolò, Francesco

doi:10.1007/bf00708364

Cited by 23 publications

(7 citation statements)

References 9 publications

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“…This change cannot be represented by a Schrödinger evolution, but must be postulated as a result of an instantaneous, irreversible and random evolution extraneous to QM. According to our findings (Cini M. et al 1979, Cini M. 1983) this additional and arbitrary mechanism is not necessary. In fact, onsider the simplest case S+M, in which M is a counter which has two macroscopically different states (charged or discharged) represented by two state vectors   and   .…”

Section: Quantum and Classical Uncertaintiesmentioning

confidence: 51%

The Physical Nature of Wave/Particle Duality

Cini¹

2012

Theoretical Concepts of Quantum Mechanics

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Section: Quantum and Classical Uncertaintiesmentioning

confidence: 51%

The Physical Nature of Wave/Particle Duality

Cini¹

2012

Theoretical Concepts of Quantum Mechanics

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“…A very specific model was considered for the definiteness but the main results (19) and (32) hold for any detectors modelled as two-level systems and any interaction separated to the sum of two parts corresponding to the particle interaction with each detector instead of (3). The form of the initial particle state φ 0 is also not important here.…”

Section: Discussionmentioning

confidence: 99%

“…139 and Appendix XIV), [28,29] and essentially also in [30] (Chapter 22), the apparatus is modelled by one very massive body. More close to the quantum description of a macroscopic system are the models of the measuring apparatus as a many-body system, composed of infinite or very large finite number of particles, typically a spin chain -see [31], [32], [33] (Chapter 7).…”

Section: Introductionmentioning

confidence: 99%

Measurement of a quantum particle position at two distant locations: a model

Dittrich

2022

Acta Polytech

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A simplified one-dimensional model of measurement of the position of a quantum particle by two distant detectors is considered. Detectors are modelled by quantum particles bounded in potential wells with just two bound states, prepared in the excited states. Their de-excitation due to the short range interaction with the measured particle is the signal for the detection. In the approximations of short time or small coupling between the particle and the measuring apparatuses, the simultaneous detection of the particle by both detectors is suppressed. The results extend to other models with two-level detectors.

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“…Only one detector (D m ) will produce a logical output signal. (In the literature, a similar effect is called wave packet reduction; see, e.g., Cini et al [9].) This is the result of an individual position measurement.…”

Section: Angular Distribution Of Diffracted Particlesmentioning

confidence: 96%

“…One possible way out is to look for a better understanding of the interaction between particle and detector. Haake and Weidlich [7], Hepp [8], and M. Cini et al [9] have developed more realistic models to describe this interaction. However, these models do not reproduce the properties of real detectors.…”

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confidence: 99%

On the Quantum Mechanical Description of the Interaction between Particle and Detector

Wick

2021

Physics

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Quantum measurements of physical quantities are often described as ideal measurements. However, only a few measurements fulfil the conditions of ideal measurements. The aim of the present work is to describe real position measurements with detectors that are able to detect single particles. For this purpose, a detector model is developed that can describe the time dependence of the interaction between a non-relativistic particle and a detector. The example of a position measurement shows that this interaction can be described with the methods of quantum mechanics. At the beginning of a position measurement, the detector behaves as a target consisting of a large number of quantum mechanical systems. In the first reaction, the incident particle interacts with a single atom, electron or nucleus, but not with the whole detector. This reaction and all following reactions are quantum mechanical processes. At the end of the measurement, the detector can be considered as a classical apparatus. A detector is neither a quantum mechanical system nor a classical apparatus. The detector model explains why one obtains a well-defined result for each individual position measurement. It further explains that, in general, it is impossible to predict the outcome of an individual measurement.

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Wave packet reduction in quantum mechanics: A model of a measuring apparatus

Cited by 23 publications

References 9 publications

The Physical Nature of Wave/Particle Duality

The Physical Nature of Wave/Particle Duality

Measurement of a quantum particle position at two distant locations: a model

On the Quantum Mechanical Description of the Interaction between Particle and Detector

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