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Quantum models of classical systems
Quantum Physics · Submitted 12 Dec 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The fuzzier are the compared classical and quantum ME packets, the better seems to be the match between their dynamical trajectories.
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The abstract, sentence by sentence
Quantum statistical methods that are commonly used for the derivation of classical thermodynamic properties are extended to classical mechanical properties. The usual assumption that every real motion of a classical mechanical system is represented by a sharp trajectory is not testable and is replaced by a class of fuzzy models, the so-called maximum entropy (ME) packets. The fuzzier are the compared classical and quantum ME packets, the better seems to be the match between their dynamical trajectories. Classical and quantum models of a stiff rod will be constructed to illustrate the resulting unified quantum theory of thermodynamic and mechanical properties.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Quantum statistical methods that are commonly used for the derivation of classical thermodynamic properties are extended to classical mechanical properties. | contribution 0.90 | 0.64 | 0.09 | asserted 1.00 |
| s1 | The usual assumption that every real motion of a classical mechanical system is represented by a sharp trajectory is not testable and is replaced by a class of fuzzy models, the so-called maximum entropy (ME) packets. | method 0.65 | 0.61 | 0.13 | asserted 1.00 |
| s2 | The fuzzier are the compared classical and quantum ME packets, the better seems to be the match between their dynamical trajectories. | result 0.83 | 0.62 | 0.50 | hedged possibility 0.92 |
| s3 | Classical and quantum models of a stiff rod will be constructed to illustrate the resulting unified quantum theory of thermodynamic and mechanical properties. | contribution 0.76 | 0.79 | 0.11 | asserted 0.86 |
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The paper
Original abstract
Quantum statistical methods that are commonly used for the derivation of classical thermodynamic properties are extended to classical mechanical properties. The usual assumption that every real motion of a classical mechanical system is represented by a sharp trajectory is not testable and is replaced by a class of fuzzy models, the so-called maximum entropy (ME) packets. The fuzzier are the compared classical and quantum ME packets, the better seems to be the match between their dynamical trajectories. Classical and quantum models of a stiff rod will be constructed to illustrate the resulting unified quantum theory of thermodynamic and mechanical properties.
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