The Experts below are selected from a list of 48 Experts worldwide ranked by ideXlab platform
Nian-ning Huang - One of the best experts on this subject based on the ideXlab platform.
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The Hamiltonian formalism of the DNLS equation with a nonvanished boundary value
Journal of Physics A, 2006Co-Authors: Nian-ning HuangAbstract:The Hamiltonian formalism of the derivative nonlinear Schrodinger equation with a nonvanishing boundary value is developed by the standard procedure. The action-angle variables are given explicitly. At the end of this work, a Galileo Transformation is introduced to ensure that the conservative quantities obtained satisfy the Hamiltonian equation.
Feng Shengqi - One of the best experts on this subject based on the ideXlab platform.
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the Galileo Transformation and its uniqueness
Journal of Hanshan Normal University, 2009Co-Authors: Feng ShengqiAbstract:It is proved that the Transformation between two inertial coordinate systems is linear on the condition of the invariance of spacetime interval,and if the variety of initial conditions are not considered,the Transformation is unique.It is the Galileo Transformation.
Chen Shi-rong - One of the best experts on this subject based on the ideXlab platform.
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Hamiltonian Formalism of mKdV Equation with Non-vanishing Boundary Values
Communications in Theoretical Physics, 2020Co-Authors: He Jingsong, Chen Shi-rongAbstract:Hamiltonian formalism of the mKdV equation with non-vanishing boundary value is re-examined by a revised form of the standard procedure. It is known that the previous papers did not give the final results and involved some questionable points [T.C. Au Yeung and P.C.W. Fung, J. Phys. A 21 (1988) 3575]. In this note, simple results are obtained in terms of an affine parameter and a Galileo Transformation is introduced to ensure the results compatible with those derived from the inverse scattering transform.
Valdir Monteiro - One of the best experts on this subject based on the ideXlab platform.
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Simultaneity, Relativistic Time and Galileo Transformations
International Frontier Science Letters, 2020Co-Authors: Dos Santos Godoi, Valdir MonteiroAbstract:It is shown that the theory of Restrict Relativity it's not free of contradictions, being one of them related to the relativity of simultaneity. Another contradiction occurs when we calculate the light speed in relation to a moving reference using the contraction of space and dilation of time, because it is verified that the speed of light depends on the speed of the referential. It is also shown that for slow speeds, but great distances, that Lorentz's Transformation for the time does not reduces itself to their Galileo Transformation, subject not explore further on most books of scientific disclosure and even academic.
Elias Vossos - One of the best experts on this subject based on the ideXlab platform.
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Euclidean Closed Linear Transformations of Complex Spacetime and generally of Complex Spaces of dimension four endowed with the Same or Different Metric
Journal of Physics: Conference Series, 2020Co-Authors: Spyridon Vossos, Elias VossosAbstract:Relativity Theory and the corresponding Relativistic Quantum Mechanics are the fundamental theories of physics. Special Relativity (SR) relates the frames of Relativistic Inertial observers (RIOs), through Linear Spacetime Transformation (LSTT) of linear spacetime. Classic Special Relativity uses real spacetime endowed with Lorentz metric and the frames of two RIOs with parallel spatial axes are always related through Lorentz Boost (LB). This cancels the transitive attribute in parallelism, when three RIOs are related, because LB is not closed Transformation, causing Thomas Rotation. In this presentation, we consider closed LSTT of Complex Spacetime, so there is no necessity for spatial axes rotation and all the frames are chosen having parallel spatial axes. The solution is expressed by a 4x4 matrix (Λ) containing components of the complex velocity of one Observer wrt another and two functions depended by the metric of Spacetime. Demanding isometric Transformation, it emerges a class of metrics that are in accordance with the closed LSTT and the Transformation matrix contains one parameter ω depended by the metric of Spacetime. In case that we relate RIOs with steady metric, it emerges one steady number (ωI ) depended by the metric of Spacetime of the specific SR. If ωI is an imaginary number, the elements of the Λ are complex numbers, so the corresponding spacetime is necessarily complex and there exists real Universal Speed (UI). The specific value ωI =±i gives Vossos Transformation (VT) endowed with Lorentz metric (for gii=1) of complex spacetime and invariant spacetime interval (or equivalently invariant speed of light in vacuum), which produce the theory of Euclidean Complex Relativistic Mechanics (ECRMs). If ωI is a real number (ωI #0) the elements of the Λ are real numbers, so the corresponding spacetime is real, but there exist imaginary UI. The specific value ωI =0 gives Galileo Transformation (GT) with the invariant time, in which any other closed LSTT is reduced, if one RIO has small velocity wrt another RIO. Thus, we have infinite number of closed LSTTs, each one with the corresponding SR theory. In case that we relate accelerated observers with variable metric of spacetime, we have the case of General Relativity (GR). For being that clear, we produce a generalized Schwarzschild metric, which is in accordance with any SR based on this closed complex LSTT and Einstein equations. The application of this kind of Transformations to the SR and GR is obvious. But, the results may be applied to any linear space of dimension four endowed with steady or variable metric, whose elements (four- vectors) have spatial part (vector) with Euclidean metric.
