Problems with klein gordon equation

Author: ptby

August undefined, 2024

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 … Webb28 juni 2024 · More specifically, we consider quadratic nonlinear Klein-Gordon equations with a potential in one space dimension. The potential is assumed to be regular, …

Problems - University of Alberta

Webb12 sep. 2024 · Willie Wai Yeung Wong. Building on the hyperboloidal foliation approach of Lefloch and Ma, we extend Klainerman's physical-space approach to dispersive estimates to recover the frequency-restricted -- dispersive estimates for Klein-Gordon equations. The hyperboloidal foliation approach naturally only provide estimates within a fixed forward ... Webb1 aug. 2024 · Problems of Klein Gordon equation quantum-field-theory field-theory noethers-theorem klein-gordon-equation classical-field-theory 1,958 The main problem … circa realty houston

Symmetry Free Full-Text Dynamical Symmetries of the 2D …

Webb12 apr. 2024 · In September 2024, the United States announced the Pacific Partnership Strategy, its first-ever roadmap for the region, amid increasing geopolitical competition between China and the United States and its partners. However, the strategy only makes one reference to Beijing — most of the text details how Washington will tackle the … Webbsame replacements, we can derive the Klein-Gordon equation : E2 2p m 2! @2 @t2 + r m2 = 0 (3) In covariant notation this is @ @ m2 = 0 (4) Suppose is solution to the Klein-Gordon equation. Multiplying it by i we get i @2 @t2 i r2 + i m2 = 0 (5) Taking the complex conjugate of the Klein-Gordon equation and multiplying by i we get i @2 @t2 2i r ... WebbIn 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. dialysis technician interview questions

Solving Pionic Atom with Klein-Gordon Equation - Science Alert

(PDF) Difficulties with the Klein-Gordon Equation - ResearchGate

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 based on the Caputo operator. The fractional-order Klein–Fock–Gordon equation is a generalization of the traditional Klein–Fock–Gordon equation that allows for non-integer … WebbNeed 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. dialysis technician jobs in cleveland ohioWebb18 juni 2024 · In this article, the general solution of the tachyonic Klein–Gordon equation is obtained as a Fourier integral performed on a suitable path in the complex ω-plane. In particular, it is proved that this solution does not contain any superluminal components under the given boundary conditions. On the basis of this result, we infer that all possible … dialysis technician jobs in abroad

"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. " - Problems with klein gordon equation

Problems with klein gordon equation

A Notable Quasi-Relativistic Wave Equation and Its Relation to the ...

WebbBased on these noncommutative relations, we give the Klein-Gordon (KG) equation and its corresponding current continuity equation in the noncommutative phase space including … Webb1.1.1 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

Did you know?

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 … 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 ...

Webb7 dec. 2024 · In the case of the Klein Gordon equation, the regions that present the maximum numerical error displace with a constant velocity, which makes easier to adapt the movement of the refined grids. In other cases is normally based on the estimation of the numerical error or in proper parameters of the system. A. Coupled Evolution. 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 ...

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 . WebbThe Klein--Gordon and sine-Gordon equations are a two nonlinear hyperbolic partial differential equations that model problems in classical and quantum mechanics, …

WebbJournal of Modern Physics > Vol.12 No.8, June 2024

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 … circa realty myrtle beachWebbThis is related to the fact that nonpositive Hamiltonians lead to problems in quantum ﬁeld theory, which are often collectively called the Klein paradox. ... solutions to the Klein–Gordon equation has ﬁnite speed—this can be proven independently under a weak assumption on the regularity; see, e.g.,Appendix E. Therefore, ... dialysis technician jobs in buffalo nyWebbInterested in cosmology, astrophysics but lately addressing fundamental problems in physics employing Quaternions. Physical laws are found to be unified when written in terms of quaternions. Within this framework, electromagnetism allows a longitudinal electric wave of Tesla type besides the transverse wave. Schrodinger, Dirac and Klein … dialysis technician jobs in augusta gaWebbKashyap 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. dialysis technician jobs in abu dhabiWebbIn 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 … circa race and sports bookWebb28 jan. 2004 · Relying on the variational principle, it is proved that new contradictions emerge from an analysis of the Lagrangian density of the Klein-Gordon field: … dialysis technician job roleWebbHowever, if there is some external potential, the Klein-Gordon equation is then altered by the usual replacements, E! E e˚; p ! p e c A; (45) (i~@t 2e˚)2 = c( i~r e c A)2 +m2c4: (46) Thesolution canalways beexpressed asasuperpositionoffreeparticle solutions, provided that the latter form a complete set. dialysis technician job responsibilities