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pro vyhledávání: '"Orefice, Adriano"'
De Broglie's quest for a wave-like approach capable of representing the position of a moving particle, is satisfied, in the case of time-independent external fields, by assuming that each particle runs along the virtual trajectories associated, under
Externí odkaz:
http://arxiv.org/abs/1903.01870
Publikováno v:
Journal of Applied Mathematics and Physics, 2018, 6, 1840-1859
Both classical and wave-mechanical monochromatic waves may be treated in terms of exact ray-trajectories (encoded in the structure itself of Helmholtz-like equations) whose mutual coupling is the one and only cause of any diffraction and interference
Externí odkaz:
http://arxiv.org/abs/1701.01168
The "main road" open by de Broglie's and Schroedinger's discovery of matter waves and of their eigen-functions branched off, as is well known, into different "sub-routes". The most widely accepted one is Standard Quantum Mechanics (SQM), interpreting
Externí odkaz:
http://arxiv.org/abs/1604.05068
Contrary to a wide-spread commonplace, an exact, ray-based treatment holding for any kind of monochromatic wave-like features (such as diffraction and interference) is provided by the structure itself of the Helmholtz equation. This observation allow
Externí odkaz:
http://arxiv.org/abs/1506.08016
The time-independent Schroedinger and Klein-Gordon equations - as well as any other Helmholtz-like equation - were recently shown to be associated with exact sets of ray-trajectories (coupled by a "Wave Potential" function encoded in their structure
Externí odkaz:
http://arxiv.org/abs/1406.4968
An exact, ray-based general treatment is shown to hold for any kind of monochromatic wave feature - including diffraction and interference - described by Helmholtz-like equations, under the coupling action of a dispersive function (which we call "Wav
Externí odkaz:
http://arxiv.org/abs/1310.8077
The behavior of monochromatic electromagnetic waves in stationary media is shown to be ruled by a frequency dependent function, which we call Wave Potential, encoded in the structure of the Helmholtz equation. Contrary to the common belief that the v
Externí odkaz:
http://arxiv.org/abs/1302.4247
The behavior of classical monochromatic waves in stationary media is shown to be ruled by a novel, frequency-dependent function which we call Wave Potential, and which we show to be encoded in the structure of the Helmholtz equation. An exact, Hamilt
Externí odkaz:
http://arxiv.org/abs/1207.0130
With an apparent delay of over one century with respect to the development of standard Analytical Mechanics, but still in fully classical terms, the behavior of classical monochromatic wave beams in stationary media is shown to be ruled by a dispersi
Externí odkaz:
http://arxiv.org/abs/1202.6225