Problems with klein gordon equation
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 in terms of hypergeometric functions. Webb20 dec. 2009 · The Klein–Gordon equation (15) has a structure that is very similar to the Schrödinger Eq. (12). In fact, there is no appropriate splitting (9) of the Klein–Gordon Hamiltonian (15) such that the operators U ^ V ^ ( t + Δ t, t, δ) and U ^ K ^ ( t + Δ t, t, δ) are diagonal in real space or in momentum space, respectively.
Problems with klein gordon equation
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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 … 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].
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, we are aiming to compute approximate solutions to various numerical problems based on time-fractional Klein-Gordon equations. Webb, A linearized and second-order unconditionally convergent scheme for coupled time fractional Klein–Gordon-Schrödinger equation, Numer. Methods Partial Differential …
WebbIn this paper, we investigate the fractional-order Klein–Fock–Gordon equations on quantum dynamics using a new iterative method and residual power series method … Webb8 sep. 2004 · The Dirac equation is compared with the Klein-Gordon one. Unlike the Dirac case, it is proved that the Klein-Gordon equation has problems with the Hamiltonian …
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 …
Webb22 juni 2010 · The Klein-Gordon equation can be used to solve the pionic atom in a relativistically correct way; it is only appropriate for spin-0 particles and thus does not apply directly to electrons and the real hydrogen atom. It is useful for pionic (π) and kaonic (K) atoms. In this study with the help of Klein-Gordon equation, we used for the first ... d bracket washerWebb1.1.1 An Example: The Klein-Gordon Equation 8 1.1.2 Another Example: First Order Lagrangians 9 1.1.3 A Final Example: Maxwell’s Equations 10 1.1.4 Locality, Locality, Locality 10 1.2 Lorentz Invariance 11 1.3 Symmetries 13 1.3.1 Noether’s Theorem 13 1.3.2 An Example: Translations and the Energy-Momentum Tensor 14 dbr 86 weight rackWebbBased on these noncommutative relations, we give the Klein-Gordon (KG) equation and its corresponding current continuity equation in the noncommutative phase space including … d - bracket score 2Webb13 apr. 2024 · We note that the approximate series solutions acquired for the first three terms is very suitable and converges very strongly with solutions to real physical … d bradley paintingWebbIn 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. geburtstagslocation solingenWebb8 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 … d. bradford barton publishingWebbEthical Issues. For Authors. Indexing. Announcements. Editorial Board. Volume 8 (2024), Number 3 (June) Integrated Model for Predicting Supply Chain Risk Through Machine Learning Algorithms ... Novel Solution for Time-fractional Klein-Gordon Equation with Different Applications dbra assembly