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Classical mechanics with lapse [PDF]

open access: yesJournal of Mathematical Physics, 1996
Mechanics is developed over a differentiable manifold as space of possible positions. Time is considered to fill a one-dimensional Riemannian manifold, so having the metric as lapse. Then the system is quantized with covariant instead of partial derivatives in the Schrödinger operator.
openaire   +5 more sources

Classical analogue to driven quantum bits based on macroscopic pendula

open access: yesScientific Reports, 2023
Quantum mechanics increasingly penetrates modern technologies but, due to its non-deterministic nature seemingly contradicting our classical everyday world, our comprehension often stays elusive.
Heribert Lorenz   +4 more
doaj   +1 more source

Classicality in quantum mechanics [PDF]

open access: yesJournal of Physics: Conference Series, 2007
Converence talk presented at DICE 2006 in Piombino.
openaire   +3 more sources

NILPOTENT CLASSICAL MECHANICS [PDF]

open access: yesInternational Journal of Modern Physics A, 2007
The formalism of nilpotent mechanics is introduced in the Lagrangian and Hamiltonian form. Systems are described using nilpotent, commuting coordinates η. Necessary geometrical notions and elements of generalized differential η-calculus are introduced. The so-called s-geometry, in a special case when it is orthogonally related to a traceless symmetric
openaire   +2 more sources

Elementary Classical Mechanics

open access: yes, 2023
This book consists of material for a one term course in classical mechanics presented to first year mathematics majors at the University of Bristol. Unlike the undergraduate mathematics curriculum in the United States, the United Kingdom has a rich tradition of teaching classical mechanics (among other courses that might be viewed as `'theoretical ...
openaire   +2 more sources

Classical Mechanics as Nonlinear Quantum Mechanics [PDF]

open access: yesAIP Conference Proceedings, 2007
7 pages, invited talk given at conference Quantum Theory: Reconsideration of Foundations 4, Vaxjo, Sweden, June 11-16 ...
Hrvoje Nikolić   +5 more
openaire   +5 more sources

An Algebraic Approach to Koopman Classical Mechanics [PDF]

open access: yesAnnals of Physics, Volume 414, March 2020, 168090, 2019
Classical mechanics is presented here in a unary operator form, constructed using the binary multiplication and Poisson bracket operations that are given in a phase space formalism, then a Gibbs equilibrium state over this unary operator algebra is introduced, which allows the construction of a Hilbert space as a representation space of a Heisenberg ...
arxiv   +1 more source

A transient inflammatory response contributes to oxaliplatin neurotoxicity in mice

open access: yesAnnals of Clinical and Translational Neurology, Volume 9, Issue 12, Page 1985-1998, December 2022., 2022
Abstract Objectives Peripheral neuropathy is a relevant dose‐limiting adverse event that can affect up to 90% of oncologic patients with colorectal cancer receiving oxaliplatin treatment. The severity of neurotoxicity often leads to dose reduction or even premature cessation of chemotherapy.
Aina Calls   +9 more
wiley   +1 more source

Assessing learning outcomes in middle-division classical mechanics: The Colorado Classical Mechanics and Math Methods Instrument

open access: yesPhysical Review Physics Education Research, 2017
Reliable and validated assessments of introductory physics have been instrumental in driving curricular and pedagogical reforms that lead to improved student learning. As part of an effort to systematically improve our sophomore-level classical mechanics
Marcos D. Caballero   +4 more
doaj   +1 more source

Three theorems of quantum mechanics and their classical counterparts [PDF]

open access: yesEur. J. Phys. 39 (2018) 055401, 2018
The Hellmann-Feynman, virial and comparison theorems are three fundamental theorems of quantum mechanics. For the first two, counterparts exist for classical mechanics with relativistic or nonrelativistic kinetic energy. It is shown here that these three theorems are valid for classical mechanics with a nonstandard kinetic energy.
arxiv   +1 more source

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