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Classical mechanics with lapse [PDF]
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.
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Classical analogue to driven quantum bits based on macroscopic pendula
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]
Converence talk presented at DICE 2006 in Piombino.
openaire +3 more sources
NILPOTENT CLASSICAL MECHANICS [PDF]
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
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Elementary Classical Mechanics
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 ...
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Classical Mechanics as Nonlinear Quantum Mechanics [PDF]
7 pages, invited talk given at conference Quantum Theory: Reconsideration of Foundations 4, Vaxjo, Sweden, June 11-16 ...
Hrvoje Nikolić+5 more
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An Algebraic Approach to Koopman Classical Mechanics [PDF]
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
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
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]
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