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On a Modified Klein Gordon Equation
, 908
"... We consider a modified KleinGordon equation that arises at ultra high energies. In a suitable approximation it is shown that for the linear potential which is of interest in quark interactions, their confinement for example, we get solutions that mimic the Harmonic oscillator energy levels, surpris ..."
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We consider a modified KleinGordon equation that arises at ultra high energies. In a suitable approximation it is shown that for the linear potential which is of interest in quark interactions, their confinement for example, we get solutions that mimic the Harmonic oscillator energy levels
A numerical method for computing radially symmetric solutions of a dissipative nonlinear modified KleinGordon equation
, 1015
"... ar ..."
KleinGordon Thermal Equation For A Preplanckian Universe
, 2003
"... Author to whom correspondence should be addressed. In this paper the quantum hyperbolic equation formulated in [1] is applied to the study of the propagation of the initial thermal state of the Universe. It is shown that the propagation depends on the barrier height. The Planck wall potential is int ..."
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is introduced, VP = ¯h/8tP = 1.25 10 18 GeV where tP is a Planck time. For the barrier height V < VP the master thermal equation is the modified KleinGordon equation, and for barrier height V> VP the master equation is the KleinGordon equation. The solutions of both type equations for Cauchy boundary
Thermal wave packets induced by attosecond laser pulses
, 2004
"... In this paper the dynamics of the interaction of attosecond laser pulses with matter is investigated. It will be shown that the master equation: modified KleinGordon equation describes the propagation of the heatons. Heatons are the thermal wave packets. When the duration of the laser pulses ∆t is ..."
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In this paper the dynamics of the interaction of attosecond laser pulses with matter is investigated. It will be shown that the master equation: modified KleinGordon equation describes the propagation of the heatons. Heatons are the thermal wave packets. When the duration of the laser pulses ∆t
Position space of Doubly Special Relativity
, 2008
"... We consider three possible approaches to formulating coordinate transformations on position space associated with nonlinear Lorentz transformations on momentum space. The first approach uses the definition of velocity and gives the standard Lorentz transformation. In the second method, we translate ..."
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translate the behavior in momentum space into position space by means of Fourier transform. Under certain conditions, it also gives the standard Lorentz transformation on position space. The third approach investigates the covariance of the modified KleinGordon equation obtained from the dispersion
and
, 2008
"... We consider three possible approaches to formulating coordinate transformations on position space associated with nonlinear Lorentz transformations on momentum space. The first approach uses the definition of velocity and gives the standard Lorentz transformation. In the second method, we translate ..."
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translate the behavior in momentum space into position space by means of Fourier transform. Under certain conditions, it also gives the standard Lorentz transformation on position space. The third approach investigates the covariance of the modified KleinGordon equation obtained from the dispersion
TIMEDOMAIN THEORY OF METAL CAVITY RESONATOR
"... Abstract—This paper presents a thorough study of the timedomain theory of metal cavity resonators. The completeness of the vector modal functions of a perfectly conducting metal cavity is first proved by symmetric operator theory, and analytic solution for the field distribution inside the cavity e ..."
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Cited by 7 (0 self)
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excited by an arbitrary source is then obtained in terms of the vector modal functions. The main focus of the present paper is the timedomain theory of a waveguide cavity, for which the excitation problem may be reduced to the solution of a number of modified KleinGordon equations. These modified KleinGordon
Exact Solutions of the KleinGordon Equation by Modified ExpFunction Method1
"... In this paper, the modified expfunction method is used to seek generalized wave solutions of KleinGordon equation. As a result, some new types of exact traveling wave solutions are obtained which include kink wave solutions, periodic wave solution, and solitary wave solutions. Obtained results cle ..."
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Cited by 2 (0 self)
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In this paper, the modified expfunction method is used to seek generalized wave solutions of KleinGordon equation. As a result, some new types of exact traveling wave solutions are obtained which include kink wave solutions, periodic wave solution, and solitary wave solutions. Obtained results
A Signal Processing Approach To Fair Surface Design
, 1995
"... In this paper we describe a new tool for interactive freeform fair surface design. By generalizing classical discrete Fourier analysis to twodimensional discrete surface signals  functions defined on polyhedral surfaces of arbitrary topology , we reduce the problem of surface smoothing, or fai ..."
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Cited by 654 (15 self)
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. With this algorithm, fairing very large surfaces, such as those obtained from volumetric medical data, becomes affordable. By combining this algorithm with surface subdivision methods we obtain a very effective fair surface design technique. We then extend the analysis, and modify the algorithm accordingly
Results 1  10
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8,871