Extending Newton's law from nonlocal-in-time kinetic energy

DOI10.1016/j.physleta.2009.01.065zbMath1228.70004OpenAlexW2001859110MaRDI QIDQ653512

Johan A. K. Suykens

Publication date: 19 December 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.01.065

zbMATH Keywords

discontinuous velocity jumpshigher order Euler-Lagrange equationNewton's second law of motionnonlocal-in-time kinetic energyPais-Uhlenbeck oscillatorsquantized nonlocality time extent

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Hamilton's equations (70H05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Lagrange's equations (70H03) Nonlinear resonances for nonlinear problems in mechanics (70K30) Higher-order theories for problems in Hamiltonian and Lagrangian mechanics (70H50) Hamiltonian and Lagrangian mechanics (70H99) Axiomatics, foundations (70A05)

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Cites Work

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• Nonlinear wave mechanics from classical dynamics and scale covariance
• Scale relativity and fractal space-time: applications to quantum physics, cosmology and chaotic systems.
• Quantum Hamilton mechanics: Hamilton equations of quantum motion, origin of quantum operators, and proof of quantization axiom
• Physical degrees of freedom of non-local theories
• Introduction to functional differential equations
• Solution to the ghost problem in fourth order derivative theories
• Topologically massive gravity as a Pais–Uhlenbeck oscillator
• Ostrogradski formalism for higher-derivative scalar field theories
• Physical reduced phase space of non‐local theories
• Quantum gravity as a dissipative deterministic system
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• Remarks on quantization of Pais–Uhlenbeck oscillators
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Generalized Hamiltonian Dynamics
• On Field Theories with Non-Localized Action
• Quantum Newton's law
• Perturbative approach to higher derivative and nonlocal theories

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