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Finite resolution of time in continuous measurements: phenomenology and the model
Quantum Physics · Submitted 25 Jul 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The results based on the model are shown to coincide with those of the phenomenological approach.
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The abstract, sentence by sentence
Definition of a quantum corridor describing monitoring a quantum observable in the framework of the phenomenological restricted-path-integral (RPI) approach is generalized for the case of a finite resolution of time. The resulting evolution of the continuously measured system cannot be presented by a differential equation. Monitoring of the position of a quantum particle is also considered with the help of a model which takes into account a finite resolution of time. The results based on the model are shown to coincide with those of the phenomenological approach.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Definition of a quantum corridor describing monitoring a quantum observable in the framework of the phenomenological restricted-path-integral (RPI) approach is generalized for the case of a finite resolution of time. | contribution 0.98 | 0.83 | 0.13 | asserted 1.00 |
| s1 | The resulting evolution of the continuously measured system cannot be presented by a differential equation. | result 0.99 | 0.79 | 0.38 | asserted 1.00 |
| s2 | Monitoring of the position of a quantum particle is also considered with the help of a model which takes into account a finite resolution of time. | method 0.60 | 0.84 | 0.06 | asserted 0.98 |
| s3 | The results based on the model are shown to coincide with those of the phenomenological approach. | result 0.99 | 0.88 | 0.36 | asserted 1.00 |
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The paper
Original abstract
Definition of a quantum corridor describing monitoring a quantum observable in the framework of the phenomenological restricted-path-integral (RPI) approach is generalized for the case of a finite resolution of time. The resulting evolution of the continuously measured system cannot be presented by a differential equation. Monitoring of the position of a quantum particle is also considered with the help of a model which takes into account a finite resolution of time. The results based on the model are shown to coincide with those of the phenomenological approach.
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