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Bilocal Field Theory for Composite Scalar Bosons. [PDF]
Entropy (Basel)Hill CT.
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Thermodynamic quantum phase transition by the structural-stability-based catastrophe theory. [PDF]
iScienceWu JH, Niu J, Liu HL, Zhou K.
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On nonlinear fractional Klein–Gordon equation
Signal Processing, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alireza Khalili Golmankhaneh +2 more
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Levinson’s theorem for the Klein-Gordon equation
Physical Review D, 1986Summary: Levinson's theorem is generalized to relativistic scalar particles satisfying the Klein-Gordon equation with a spherically symmetric potential \(V(r)\), which is the fourth component of a vector field, and shown to be \[ N_l=n_l^{(+)}-n_l^{(-)}=(1/\pi)[\delta_l(M)+ \alpha_1]-(1/\pi)[\delta_l(-M)+\alpha_2], \] where \(N_l\) denotes the ...
Liang, Yi-Gao, Ma, Zhong Qi
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1998
Abstract Preliminaries In this section, we give some technical tools that are essential in this chapter. Proposition 6.2.3 justifies the study of the Klein-Gordon equation in the space X. Indeed, the energy Eis related to the X-norm and, as we will see in the next sections, the conservation of the energy (6.19) allows us ...
Thierry Cazenave +2 more
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Abstract Preliminaries In this section, we give some technical tools that are essential in this chapter. Proposition 6.2.3 justifies the study of the Klein-Gordon equation in the space X. Indeed, the energy Eis related to the X-norm and, as we will see in the next sections, the conservation of the energy (6.19) allows us ...
Thierry Cazenave +2 more
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Singular Limits of the Klein–Gordon Equation
Archive for Rational Mechanics and Analysis, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Chi-Kun, Wu, Kung-Chien
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On the 1D Coulomb Klein–Gordon equation
Journal of Physics A: Mathematical and Theoretical, 2007Summary: For a single particle of mass \(m\) experiencing the potential \(-\alpha /|x|\), the 1D Klein-Gordon equation is mathematically underdefined even when \(\alpha \ll 1\): unique solutions require some physically motivated prescription for handling the singularity at the origin. The procedure appropriate in most cases is to soften the singularity
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Attractors for the Klein–Gordon–Schrödinger equation
Journal of Mathematical Physics, 1999In this paper we deal with the asymptotic behavior of solutions for the Klein–Gordon–Schrödinger equation. We prove the existence of compact global attractors for this model in the space Hl×Hl×Hl−1 for each integer l⩾1.
Wang, Bixiang, Lange, Horst
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On the numerical solution of the Klein‐Gordon equation
Numerical Methods for Partial Differential Equations, 2008AbstractA predictor–corrector (P–C) scheme based on the use of rational approximants of second‐order to the matrix‐exponential term in a three‐time level reccurence relation is applied to the nonlinear Klein‐Gordon equation. This scheme is accelerated by using a modification (MPC) in which the already evaluated values are used for the corrector.
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Dual Klein–Gordon and Dirac equations
Russian Physics Journal, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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