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On classical and functional approachs to mechanics
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 In this paper the relevance of the classical trajectory of the anharmonic oscillator and the average trajectory obtained within the functional approach is considered.
E. V. Piskovskiy
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A Non-Canonical Classical Mechanics
AppliedMathBased on noncommutative relations and the Dirac canonical dequantization scheme, I generalize the canonical Poisson bracket to a deformed Poisson bracket and develop a non-canonical formulation of the Poisson, Hamilton, and Lagrange equations in the ...
Shi-Dong Liang
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Studies on the classical determinism predicted by A. Einstein, B. Podolsky and N. Rosen
Ratio Mathematica, 2019 Inthispaper, wecontinuethestudyinitiatedinprecedingworks of the argument by A. Einstein, B. Podolsky and N. Rosen according to which quantum mechanics could be “completed” into a broader theory recovering classical determinism.
Ruggero Maria Santilli
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Interaction of Light with matter: nonclassical phenomenon
Фізика і хімія твердого тіла, 2022 Matter and light interaction has very important applications in classical as well as in nonclassical field. In classical mechanics charged particle interact with oscillating field. In quantum mechanics interaction of light is with quantum states. In this
Pramila Shukla +2 more
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, 2005 Classical statistical average values are generally generalized to average values of quantum mechanics, it is discovered that quantum mechanics is direct generalization of classical statistical mechanics, and we generally deduce both a new general ...
Anandan J. +18 more
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Formulations of Classical Mechanics
The Routledge Companion to Philosophy of Physics, 2019 I outline three formulations of classical mechanics, Newtonian, Lagrangian, and Hamiltonian mechanics, that are ordinarily seen as fully equivalent—notational variants of a single theory. I point to various differences, both mathematical and metaphysical,
J. North
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Quantum mechanics as classical statistical mechanics with an ontic extension and an epistemic restriction [PDF]
Nature Communications, 2017 Where does quantum mechanics part ways with classical mechanics? How does quantum randomness differ fundamentally from classical randomness? We cannot fully explain how the theories differ until we can derive them within a single axiomatic framework ...
A. Budiyono, D. Rohrlich
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Prequantum classical statistical model with infinite dimensional phase-space [PDF]
, 2005 We show that quantum mechanics can be represented as an asymptotic projection of statistical mechanics of classical fields. Thus our approach does not contradict to a rather common opinion that quantum mechanics could not be reduced to statistical ...
Khrennikov, Andrei
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Framework for understanding the patterns of student difficulties in quantum mechanics
Physical Review Special Topics. Physics Education Research, 2015 [This paper is part of the Focused Collection on Upper Division Physics Courses.] Compared with introductory physics, relatively little is known about the development of expertise in advanced physics courses, especially in the case of quantum mechanics ...
Emily Marshman, Chandralekha Singh
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Contextuality in Classical Physics and Its Impact on the Foundations of Quantum Mechanics
Entropy, 2021 It is shown that the hallmark quantum phenomenon of contextuality is present in classical statistical mechanics (CSM). It is first shown that the occurrence of contextuality is equivalent to there being observables that can differentiate between pure and
Fritiof Wallentin
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