Advances in classical and analytical mechanics: A reviews of author’s results [PDF]
A review, in subjective choice, of author’s scientific results in area of: classical mechanics, analytical mechanics of discrete hereditary systems, analytical mechanics of discrete fractional order system vibrations, elastodynamics, nonlinear ...
Hedrih-Stevanović Katica R.
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The ZX-calculus is incomplete for quantum mechanics [PDF]
We prove that the ZX-calculus is incomplete for quantum mechanics. We suggest the addition of a new 'color-swap' rule, of which currently no analytical formulation is known and which we suspect may be necessary, but not sufficient to make the ZX-calculus
de Witt, Christian Schröder +1 more
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Mitigating impacts of low energy laser pulses on CALIOP data products [PDF]
The spaceborne Cloud-Aerosol Lidar with Orthogonal Polarization (CALIOP) experienced an increasing number of intermittent low energy laser pulses in the final 7 years of the Cloud-Aerosol Lidar and Infrared Pathfinder Observations (CALIPSO) mission due ...
J. L. Tackett +15 more
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On the Analytical Mechanics of Chemical Reactions. Quantum Mechanics of Linear Collisions [PDF]
The analytical quantum mechanics of chemically reactive linear collisions is treated in the vibrationally near‐adiabatic approximation. The "reaction coordinate" in this approximation is found to be the curve on which the classical local vibrational and ...
Marcus, R. A.
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On Applications of Semi-Analytical Methods of Contact Mechanics
This paper is concerned with possible applications of semi-analytical methods of frictional contact mechanics. The semi-analytical solutions, such as the Method of Memory Diagrams, enable the load-displacement relationship for contact of two axisymmetric
Vladislav V. Aleshin +1 more
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From Classical to Quantum Mechanics: "How to translate physical ideas into mathematical language"
In this paper, we investigate the connection between Classical and Quantum Mechanics by dividing Quantum Theory in two parts: - General Quantum Axiomatics (a system is described by a state in a Hilbert space, observables are self-adjoint operators and so
Bayen F. +7 more
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Uma aplicação do método da mínima restrição de Gauss
O método da mínima restrição de Gauss é recapitulado e aplicado à solução do movimento de uma esfera sobre solo rugoso sob a ação de força (dentro de certas aproximações).
G.F. Leal Ferreira
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Udwadia–Kalaba Equation for Constrained Mechanical Systems: Formulation and Applications
There are many achievements in the field of analytical mechanics, such as Lagrange Equation, Hamilton’s Principle, Kane’s Equation. Compared to Newton–Euler mechanics, analytical mechanics have a wider range of applications and the formulation procedures
Xiao-Min Zhao +3 more
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On the Analytical Mechanics of Chemical Reactions. Classical Mechanics of Linear Collisions [PDF]
The classical mechanics of chemically reactive linear collisions is investigated for vibrationally near‐adiabatic reactions. A coordinate system which passes smoothly from one suited to the reactants to one suited to the products is used.
Marcus, R. A.
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On the Origins of Hamilton’s Principle(s)
This entry first provides an overview of the historical, cultural and epistemological background that is key for Hamilton’s positions on mechanics. We consider the investigations on geometrical optics in the 17th and 18th centuries, Euler’s and Lagrange ...
Paolo Bussotti +2 more
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