Results 11 to 20 of about 566,052 (327)
Classical mechanics as nonlinear quantum mechanics [PDF]
AIP Conference Proceedings, 2007 All measurable predictions of classical mechanics can be reproduced from a quantum-like interpretation of a nonlinear Schrodinger equation. The key observation leading to classical physics is the fact that a wave function that satisfies a linear equation
Andrei Yu. Khrennikov +5 more
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On the Relationship of Quantum Mechanics to Classical Electromagnetism and Classical Relativistic Mechanics [PDF]
European Journal of Physics, 2004 Some connections between quantum mechanics and classical physics are explored. The Planck-Einstein and De Broglie relations, the wavefunction and its probabilistic interpretation, the Canonical Commutation Relations and the Maxwell--Lorentz Equation may ...
Amrein W O +29 more
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Mixing Quantum and Classical Mechanics [PDF]
Physical Review A, 1996 Using a group theoretical approach we derive an equation of motion for a mixed quantum-classical system. The quantum-classical bracket entering the equation preserves the Lie algebra structure of quantum and classical mechanics: The bracket is ...
A. A. Kirillov +59 more
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The S-matrix in classical mechanics [PDF]
Communications in Mathematical Physics, 1968 In the Hilbert-space version of classical mechanics, scattering theory forN-particle systems is developed in close analogy to the quantum case. Asymptotic completeness is proved for forces of finite range. Infinite-range forces lead to the problem of stability of bound states and can be dealt with only in some simple cases.
Walter Hunziker
openalex +5 more sources
Computation in classical mechanics [PDF]
American Journal of Physics, 2008 One way to introduce computation into the physics curriculum is to include it in a standard upper-level physics course. A course in intermediate classical mechanics is well-suited for this purpose. We discuss our approach and examples of student projects on solving differential equations and Liouville’s theorem, projectile motion on a rotating Earth ...
Javier E. Hasbun, Todd Timberlake
openaire +3 more sources
Noncommutative Classical Mechanics [PDF]
International Journal of Theoretical Physics, 2004 In this work, I investigate the noncommutative Poisson algebra of classical observables corresponding to a proposed general Noncommutative Quantum Mechanics, \cite{1}. I treat some classical systems with various potentials and some Physical interpretations are given concerning the presence of noncommutativity at large scales (Celeste Mechanics ...
openaire +3 more sources
Classical mechanics with lapse [PDF]
Journal 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
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley +1 more source