Results 1  10
of
953
THE KLEINGORDON EQUATION
"... Abstract. In this article, we apply the fundamental solution constructed in a previous paper, and obtain the representation of the solution to the Cauchy problem for the KleinGordon equation □gφ−m 2 φ = f in antide Sitter spacetime. 1. ..."
Abstract
 Add to MetaCart
Abstract. In this article, we apply the fundamental solution constructed in a previous paper, and obtain the representation of the solution to the Cauchy problem for the KleinGordon equation □gφ−m 2 φ = f in antide Sitter spacetime. 1.
Integrability of KleinGordon equations
 Siam J. Math. Anal
, 1986
"... Abstract. Usin the Painlev test, it is shown that the only interablc nonlinear KleinGordon equations ux,=f(u) with f a linear combination of exponentials are the Liouville, sineGordon (or sinhGordon) and Mikhailov equations. In particular, the double sineGordon equation is not interable. Key wor ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
Abstract. Usin the Painlev test, it is shown that the only interablc nonlinear KleinGordon equations ux,=f(u) with f a linear combination of exponentials are the Liouville, sineGordon (or sinhGordon) and Mikhailov equations. In particular, the double sineGordon equation is not interable. Key
Notes On The KleinGordon Equation
, 2003
"... In this article, we derive the scalar KleinGordon equation from the formal information theory framework. The least biased probability distribution is obtained, and the scalar equation is recast in terms of a FokkerPlanck equation in terms of the imaginary time, or a Schroedinger equation for the ..."
Abstract
 Add to MetaCart
In this article, we derive the scalar KleinGordon equation from the formal information theory framework. The least biased probability distribution is obtained, and the scalar equation is recast in terms of a FokkerPlanck equation in terms of the imaginary time, or a Schroedinger equation
Linear Klein–Gordon Equation
"... ∂x2 – bw The Klein–Gordon equation is encountered in quantum field theory and a number of applications. 2.31. Particular solutions of the Klein–Gordon equation: w(x, t) = cos(λx)[A cos(µt) + B sin(µt)], b = −a2λ2 + µ2, w(x, t) = sin(λx)[A cos(µt) + B sin(µt)], b = −a2λ2 + µ2, w(x, t) = exp(±µt)[ ..."
Abstract
 Add to MetaCart
∂x2 – bw The Klein–Gordon equation is encountered in quantum field theory and a number of applications. 2.31. Particular solutions of the Klein–Gordon equation: w(x, t) = cos(λx)[A cos(µt) + B sin(µt)], b = −a2λ2 + µ2, w(x, t) = sin(λx)[A cos(µt) + B sin(µt)], b = −a2λ2 + µ2, w(x, t) = exp
WAVEPACKET SOLUTIONS OF THE KLEINGORDON EQUATION
, 707
"... We present dispersionfree wavepacket solutions Ψv to the KleinGordon equation, with the only free parameter being the wavepacket velocity v. The Ψv are eigenvectors of a velocity operator with commuting components, which is symmetric in a certain scalar product space. ..."
Abstract
 Add to MetaCart
We present dispersionfree wavepacket solutions Ψv to the KleinGordon equation, with the only free parameter being the wavepacket velocity v. The Ψv are eigenvectors of a velocity operator with commuting components, which is symmetric in a certain scalar product space.
AdS. KleinGordon equation
, 2014
"... I propose a generalization of the KleinGordon equation in the framework of AdS spacetime and exhibit a four parameter family of solutions among which there is a two parameter family of timedependent bound states. ..."
Abstract
 Add to MetaCart
I propose a generalization of the KleinGordon equation in the framework of AdS spacetime and exhibit a four parameter family of solutions among which there is a two parameter family of timedependent bound states.
Difficulties with the KleinGordon Equation
, 2004
"... Relying on the variational principle, it is proved that new contradictions emerge from an analysis of the Lagrangian density of the KleinGordon field: normalization problems arise and interaction with external electromagnetic fields cannot take place. By contrast, the Dirac equation is free of thes ..."
Abstract
 Add to MetaCart
Relying on the variational principle, it is proved that new contradictions emerge from an analysis of the Lagrangian density of the KleinGordon field: normalization problems arise and interaction with external electromagnetic fields cannot take place. By contrast, the Dirac equation is free
Difficulties of the KleinGordon Equation
, 2004
"... Relying on the variational principle, it is proved that new contradictions emerge from an analysis of the Lagrangian density of the KleinGordon field: normalization problems arise and interaction with external electromagnetic fields cannot take place. By contrast, the Dirac equation is free of thes ..."
Abstract
 Add to MetaCart
Relying on the variational principle, it is proved that new contradictions emerge from an analysis of the Lagrangian density of the KleinGordon field: normalization problems arise and interaction with external electromagnetic fields cannot take place. By contrast, the Dirac equation is free
Results 1  10
of
953