Problems with klein gordon equation
Webb14 aug. 2016 · It does not incorporate spin and is not Lorentz invariant. The Klein Gordon equation does take into account SR, by using E 2 = p 2 c 2 + m 2 c 2, but it can be interpreted as a scalar field, producing spin 0 particles, because it transforms as a scalar field. How can I deduce, which kind of particles a particular wave equation describes, by ... 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].
Problems with klein gordon equation
Did you know?
WebbBased on these noncommutative relations, we give the Klein-Gordon (KG) equation and its corresponding current continuity equation in the noncommutative phase space including … WebbJournal of Modern Physics > Vol.12 No.8, June 2024
Webb18 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 … 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 …
Webb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 … 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, …
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 ...
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 ! … chemistry suffix meaningsWebbA 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 chemistry summary filetypeWebb28 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 … flightinsight training vidsWebb, A linearized and second-order unconditionally convergent scheme for coupled time fractional Klein–Gordon-Schrödinger equation, Numer. Methods Partial Differential … flightinsight ifr videosWebb19 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 . flightinsight youtubeThe Klein–Gordon equation was first considered as a quantum wave equation by Schrödinger in his search for an equation describing de Broglie waves. The equation is found in his notebooks from late 1925, and he appears to have prepared a manuscript applying it to the hydrogen atom. Visa mer The Klein–Gordon equation (Klein–Fock–Gordon equation or sometimes Klein–Gordon–Fock equation) is a relativistic wave equation, related to the Schrödinger equation. It is second-order in space and … Visa mer The non-relativistic equation for the energy of a free particle is $${\displaystyle {\frac {\mathbf {p} ^{2}}{2m}}=E.}$$ By quantizing this, we get the non-relativistic Schrödinger equation for a free particle: Visa mer The Klein–Gordon equation can also be derived by a variational method, arising as the Euler–Lagrange equation of the action Visa mer There is a way to make the complex Klein–Gordon field $${\displaystyle \psi }$$ interact with electromagnetism in a gauge-invariant way. … Visa mer The equation was named after the physicists Oskar Klein and Walter Gordon, who in 1926 proposed that it describes relativistic electrons. Vladimir Fock also discovered the equation independently in 1926 slightly after Klein's work, in that Klein's paper was … Visa mer The Klein–Gordon equation (and action) for a complex field $${\displaystyle \psi }$$ admits a $${\displaystyle {\text{U}}(1)}$$ symmetry. That is, under the transformations $${\displaystyle \psi (x)\mapsto e^{i\theta }\psi (x),}$$ Visa mer Classical field Taking the non-relativistic limit (v ≪ c) of a classical Klein–Gordon field ψ(x, t) begins with the ansatz factoring the oscillatory rest mass energy Visa mer flightinsight videosWebb12 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 … flight insight videos