Problems with klein gordon equation

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August undefined, 2024

WebbWe study the uncertainty principle associated with the Klein–Gordon equation. As in the previous work [Ann. of Math. 173 (2011)], we consider vanishing along a lattice-cross. The following variants appear naturally: (1) vanishing only along “half” of the lattice-cross, where the “half” is defined as being on the boundary of a quarter ... Webb16 nov. 2024 · To illustrate this point, we solve the problem of a spin zero relativistic particle in a one- and three-dimensional box using the Klein-Gordon equation in the …

Quadratic Klein-Gordon equations with a potential in one dimension

Webb10 apr. 2024 · Three structures of lead halide perovskite quantum dot (QD) solar cells with different absorbing layers of CsPbI3, FAPbI3, and CsPbI3/ FAPbI3 were simulated by SCAPS (Abdelaziz et al. in Opt Mater ... 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. easter prayer of confession

idUS - The Klein–Gordon equation, the Hilbert transform, and …

Webb17 mars 2024 · Problems of Klein Gordon equation. ( + m 2) φ = 0. People usually claim that φ ∗ φ cannot be interpreted as a probability density because ∫ d 3 x → φ ( t, x →) ∗ φ … WebbEthical 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 Webb5 juni 2024 · Klein-Gordon equation. The relativistically-invariant quantum equation describing spinless scalar or pseudo-scalar particles, for example, $ \pi $-, and $ K $- … easter prayer vigil ideas

Existence of Solutions for Fractional Klein-Gordon-Maxwell Systems

A real space split operator method for the Klein–Gordon equation

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. WebbHowever, 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. culinary grief therapyWebbBased on these noncommutative relations, we give the Klein-Gordon (KG) equation and its corresponding current continuity equation in the noncommutative phase space including … easter prayers christian for children

"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 … " - Problems with klein gordon equation

Problems with klein gordon equation

[quant-ph/0312206] Difficulties with the Klein-Gordon Equation

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 … 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 ...

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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 ... 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

Webb28 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: … Webb13 apr. 2024 · The present article deals with the solution of nonlinear fractional Klein–Fock–Gordon equation which involved the newly developed Caputo–Fabrizio …

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 … WebbUsing the correspondence principle the resulting Klein-Gordon equation reads where the short-hand notation has been employed. CONTINUITY EQUATION. Let us try to …

Webb14 maj 2024 · There are some difficulties for the Klein–Gordon equation. Virial/Morawetz estimate yields small $L^3$ norm at one large time, while we need small $L^3$ norm on a suitable large time interval. However, on one hand, Klein–Gordon equation does not have almost finite propagation of localised $L^{2}$ norm as NLS.

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 … culinary groupWebb18 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 … culinary graphicWebbInterested 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 … easter pregnancy announcement 2019WebbThe good news is that according to the Klein-Gordon equation, effects do not propagate at speeds faster than the speed of light. That is known from the theory of partial differential … easter prayer stations for childrenWebb16 sep. 2024 · Download Citation On Sep 16, 2024, Lixia Wang published Two solutions for a nonhomogeneous Klein-Gordon-Maxwell system Find, read and cite all the research you need on ResearchGate easter prayersWebbJournal of Modern Physics > Vol.12 No.8, June 2024 culinary graduate schoolWebbIn 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 … culinary gtcc