Problems with klein gordon equation

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August undefined, 2024

Webb24 mars 2024 · Klein-Gordon Equation The partial differential equation (1) that arises in mathematical physics. The quasilinear Klein-Gordon equation is given by (2) (Nayfeh … Webb12 apr. 2024 · By partitioning the spin-one spinor, we show that the DKP equation is equivalent to the Klein–Gordon equation formalism. The scattering solutions are derived …

How precisely the Klein-Gordon equation is derived?

Webb13 okt. 2024 · The Klein–Gordon equation has many applications in quantum mechanics, quantum field theory, relativistic physics, solid-state physics, plasma physics, nonlinear optics, dispersive wave-phenomena, and condensed type matter physics and also has soliton type solution [23–28]. Webb28 dec. 2003 · Difficulties with the Klein-Gordon Equation. Relying on the variational principle, it is proved that new contradictions emerge from an analysis of the Lagrangian … the water-soluble vitamins are indestructible

[1905.08620] The zero mass problem for Klein-Gordon equations

WebbWe test the schemes on traveling wave and periodic breather problems over long time intervals and compare their accuracy and computational costs with those of symplectic and nonsymplectic method-of-lines approximations and a nonsymplectic energy conserving method. Key words. symplectic approximations, Klein-Gordon equation, finite … Webb8 maj 2009 · Numerical results obtained from solving several problems possessing periodic, kinks, single and double-soliton waves show that the combination of a compact finite difference approximation of fourth order and a fourth-order A-stable DIRKN method gives an efficient algorithm for solving these problems. Download to read the full article … Webb3 Klein-Gordon Equation In non-relativistic mechanics, the energy for a free particle is E= p2 2m: (35) To get quantum mechanics, we make the following substitutions: E! i~ @ @t; p ! … the water-lily pond

Klein-Gordon equation - Encyclopedia of Mathematics

3 Klein-Gordon Equation - UC Davis

Webb1 feb. 2010 · A numerical method is developed to solve the nonlinear one-dimensional Klein–Gordon equation by using the cubic B-spline collocation method on the uniform mesh points. We solve the problem for ... Webb24 mars 2024 · [15] Bournaveas N., Local existence of energy class solutions for the Dirac–Klein–Gordon equations, Comm. Partial Differential Equations 24 (1999) 1167 – 1193. Google Scholar [16] Bournaveas N., Low regularity solutions of the Dirac–Klein–Gordon equations in two space dimensions, Comm. Partial Differential … the water zodiac signsWebbKashyap et al.: Novel Solution for Time-fractional Klein-Gordon Equation with Different … 539 Vol. 8, No. 3, 2024 equations using LHPM. In addition, using the proposed LHPM, we are aiming to compute approximate solutions to various numerical problems based on time-fractional Klein-Gordon equations. the water zoo peterborough

"WebbFind the solution of the Klein-Gordon equation for the -meson in a Coulomb potential and discusss the energy The pion has a mass MeV and spin 0. Starting with a positive energy wavepacket only, show that there is a minimum width to the wavepacket. Sarting with a positive energy wavepacket only, show that they can not " - Problems with klein gordon equation

Problems with klein gordon equation

Solving Pionic Atom with Klein-Gordon Equation - Science Alert

WebbBased on these noncommutative relations, we give the Klein-Gordon (KG) equation and its corresponding current continuity equation in the noncommutative phase space including the canonical and Hamiltonian forms and their novel properties beyond the conventional KG equation. ... The detail discussion on this issue may be found in the book . 3.6. Webb, A linearized and second-order unconditionally convergent scheme for coupled time fractional Klein–Gordon-Schrödinger equation, Numer. Methods Partial Differential …

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WebbKlein-Gordon equation, artiﬁcial boundary, absorbing boundary condition AMS subject classiﬁcations. 35L05 35Q40 42C10 65M60 1. ... of exact nonreﬂecting boundary conditions for exterior problems of wave equation in two and three dimensional space by an approach based on Duhamel’s principle. Han and Huang [13] and Han, Yin and Huang ... WebbKashyap et al.: Novel Solution for Time-fractional Klein-Gordon Equation with Different … 539 Vol. 8, No. 3, 2024 equations using LHPM. In addition, using the proposed LHPM, …

Webb24 mars 2024 · [15] Bournaveas N., Local existence of energy class solutions for the Dirac–Klein–Gordon equations, Comm. Partial Differential Equations 24 (1999) 1167 – … Webb[en] We consider the second quantization procedure for a Klein Gordon equation with time dependent Hamiltonian and with replaced second order time derivative by the appropriate difference operator. With each time step there is a Bogoljubov transformation which describes particle creation and annihilation and the accompanied change of the Fock …

Webb19 juli 2024 · to reproduce the usual Klein-Gordon equation. The correspondence you state in $(3)$ is not correct. The normal procedure for turning a theory in flat spacetime into one in curved spacetime involves replacing $\partial_\mu$ by $\nabla_\mu$, yes, but the Euler-Lagrange equations don't change . WebbA new method for deriving Regge-trajectories and energy eigenvalues for ground states of central potentials is applied to the Klein-Gordon equation. Based upon the ℎ-expansion, the simple recursion formulas are presented. The problems of the π-mesonic atom and funn

Webb28 dec. 2003 · Difficulties with the Klein-Gordon Equation E. Comay Relying on the variational principle, it is proved that new contradictions emerge from an analysis of the Lagrangian density of the Klein-Gordon field: normalization problems arise and interaction with external electromagnetic fields cannot take place.

WebbIn this paper, we study the nonlinear Klein-Gordon equation coupled with a Maxwell equation. Using the energy method, we obtain a local existence result for the Cauchy … the water-energy-food nexusWebbIn this paper, for the first time, the Laplace Homotopy Perturbation Method (LHPM), which is the coupling of the Laplace transform and the Homotopy Perturbation Method, is employed to solve non-linear time-fractional Klein-Gordon (TFKG) equations. In other words, for the first time in literature, LHPM is used to solve non-linear TFKG equations. the water works plumbing columbus ohWebb12 apr. 2024 · By partitioning the spin-one spinor, we show that the DKP equation is equivalent to the Klein–Gordon equation formalism. The scattering solutions are derived in terms of hypergeometric functions. the water zoo clinton okWebb5 juni 2024 · Klein-Gordon equation. The relativistically-invariant quantum equation describing spinless scalar or pseudo-scalar particles, for example, $ \pi $-, and $ K $- … the water\\u0027s edge country clubWebb13 apr. 2024 · The present article deals with the solution of nonlinear fractional Klein–Fock–Gordon equation which involved the newly developed Caputo–Fabrizio … the water-lily pond claude monetWebbNeed relativistic wave equations to describe particle interactions. Klein-Gordon equation (bosons), Dirac equation (fermions). Negative energy solutions describe antiparticles. The exchange of a massive particle generates an attractive force between two particles. Yukawa potential V(r) = − g2 4π e−mr r Exchanged particles may be virtual. the water-lily pond xWebb摘要： In this paper, we study the nonlinear Klein–Gordon equation coupled with a Maxwell equation. Using the energy method, we obtain a local existence result for the Cauchy … the water-babies