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A systematic method to determine the Lagrangian directly from the equations of motion
Based on reversing Hamilton’s principle, the Lagrangian can be obtained directly from the equations of motion. The method is illustrated for a relativistic particle moving in an external field, theExpand
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The invariance of the phase of waves among inertial frames is questionable
Two types of relativistic transformation for the four-vector (ω/c, k) of waves (including light waves in media, or acoustic waves) are obtained based on the differential Lorentz transformation. OneExpand
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Nonlinear Modeling of Dynamic Metal Transfer in Laser-Enhanced GMAW
Laser-enhanced gas metal arc welding (GMAW) is an innovative process recently proposed and developed at the University of Kentucky (Refs. 1–3), shown in Fig. 1. It adds a relatively low-power laserExpand
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Simulation and optimization of GaN-based metal-oxide-semiconductor high-electron-mobility-transistor using field-dependent drift velocity model
Undoped GaN-based metal-oxide-semiconductor high-electron-mobility-transistors (MOS-HEMTs) with atomic-layer-deposited Al2O3 gate dielectrics are fabricated with gate lengths from 1 μm up to 40 μm.Expand
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Nonlocal surface plasmon amplification by stimulated emission of radiation
We establish the spaser generation conditions for nonlocal plasmonic lasers and nonlocal plasmonic core-shell lasers based on the full-wave nonlocal Mie theory. Numerical results show that theExpand
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Formulation of the classical and the relativistic Doppler effect by a systematic method
The classical and the relativistic Doppler effect for both acoustic and light waves are formulated exactly by a systematic method. This method differs only in its usage of classical and relativisticExpand
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Comparison of microstructure, second phases and texture formation during melt processing of Bi-2212 mono- and multifilament wires
Based on simultaneous in situ high energy synchrotron micro-tomography and x-ray diffraction (XRD) measurements we compare the microstructural changes and the formation of second phases and textureExpand
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Response sensitivity of the linear vibration of the gear system of the vehicle transmission
The transmission system of vehicles whose input source is the torque of the engine is studied.The dynamic model is built by using lumped parameter method considering the coupled effects of bendingExpand
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Integration of quantum theory and relativity theory via a new perspective on relativistic transformation
We argue that special relativity, instead of quantum theory, should be radically reformulated to resolve inconsistencies between those two theories. A new relativistic transformationExpand
Lagrangian formalism of relativistic mechanics with a Lorentz-invariant evolution parameter
This paper presents an alternative Lagrangian formalism of relativistic mechanics using the proper time as the evolution parameter. This alternative Lagrangian formalism of relativistic mechanics isExpand
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