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Position probability density function for a system of mutually exclusive particles in one dimension
Quantum Physics · Submitted 24 Oct 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Position probability distribution of a set of massive mutually exclusive particles in one dimension has been defined.
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The abstract, sentence by sentence
Position probability distribution of a set of massive mutually exclusive particles in one dimension has been defined. Examples with a given two mutually exclusive particles system are considered. It is emphasized that quantum particles at finite potentials can not be regarded as a mutually exclusive system or they are indistinguishable. Afterward, it is attempted to ascribe a mutually exclusive system to continuous mass densities of a rigid body to calculate average values. We do this by applying correspondence principle with regard to probability densities.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Position probability distribution of a set of massive mutually exclusive particles in one dimension has been defined. | contribution 0.99 | 0.77 | 0.28 | asserted 1.00 |
| s1 | Examples with a given two mutually exclusive particles system are considered. | contribution 0.78 | 0.81 | 0.06 | asserted 0.93 |
| s2 | It is emphasized that quantum particles at finite potentials can not be regarded as a mutually exclusive system or they are indistinguishable. | interpretation 0.54 | 0.24 | 0.24 | asserted 0.99 |
| s3 | Afterward, it is attempted to ascribe a mutually exclusive system to continuous mass densities of a rigid body to calculate average values. | contribution 0.82 | 0.83 | 0.10 | speculative 0.33 |
| s4 | We do this by applying correspondence principle with regard to probability densities. | method 1.00 | 0.87 | 0.08 | asserted 0.94 |
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The paper
Original abstract
Position probability distribution of a set of massive mutually exclusive particles in one dimension has been defined. Examples with a given two mutually exclusive particles system are considered. It is emphasized that quantum particles at finite potentials can not be regarded as a mutually exclusive system or they are indistinguishable. Afterward, it is attempted to ascribe a mutually exclusive system to continuous mass densities of a rigid body to calculate average values. We do this by applying correspondence principle with regard to probability densities.
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