Klein gordon theory
WebApr 10, 2024 · Within the framework of the deformed Klein-Gordon equation 3D-DKGE, approximate or exact solutions were found for several central potentials of wide application (see, ... In this subsection, we want to apply the perturbative theory, in the case of 3D-ERQM symmetries, we find the expectation values \({A}_{1\left(nlm\right)}^ ... WebTherefore, a system that can be described by a complex solution to the Klein-Gordon equation also be described by a system of two independent particles with equal mass that have real solutions to the Klein-Klein-Gordon equation. 2.2 Lagrangian Density We have two potential ways to describe this complex system, with †and or with 1 and 2.First,we
Klein gordon theory
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WebJan 1, 2012 · A pure quaternionic Klein–Gordon equation is developed in terms of quaternion operators and wave functions. The equivalence between quaternion and covariant operators has been established while… Expand View 1 excerpt, cites methods Sedeonic Equations in Field Theory V. Mironov, S. Mironov Physics 2024 WebKlein-Gordon with Coulomb field Hi, I was studying the KG equation with Coulomb field and I can't understand this statement. I'm following Relativistic Quantum Mechanics and Introduction to Field Theory by F.J. Yndurain, it starts with the KG eq. with minimal coupling and we find that it's identical to the Schrodinger eq. by defining new ...
WebIn General > s.a. klein-gordon fields in curved spacetime [and different media]; scalar field theory. * Hamiltonian: For a scalar field φ ( x) of mass m (and conjugate momentum π ( x )), the Hamiltonian on a spacelike hypersurface Σ is H … WebThe Klein-Gordon Equation is a relativistic generalisation of the Schrordinger Equation to Relativistic Quantum Mechanics. In Quantum Field Theory, it is a relativistic field equation …
WebIn Section 3, we give the Klein-Gordon equation and continuity equation in the noncommutative phase space, including the canonical and Hamiltonian forms of the KG equation. We find that the noncommutative effects can be interpreted as an analog with the effective gauge potential. WebIt is interesting to note that this equation appeared exactly as it has been written in David Bohm's 1951 book Quantum Theory but was not called the Klein-Gordon equation. However, Bethe and Jackiw's Intermediate Quantum Mechanics, originally written in 1964, does refer to the same equation as the Klein-Gordon equation.Klein and Walter Gordon were thus …
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The 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. See more 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 … See more The Klein–Gordon equation (and action) for a complex field $${\displaystyle \psi }$$ admits a $${\displaystyle {\text{U}}(1)}$$ symmetry. That is, under the transformations See more The Klein–Gordon equation can also be derived by a variational method, arising as the Euler–Lagrange equation of the action See more There is a way to make the complex Klein–Gordon field $${\displaystyle \psi }$$ interact with electromagnetism in a gauge-invariant way. … See more 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 … See more 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: See more 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 See more bolles football campWebJun 24, 2016 · Let us consider the Klein-Gordon equation. ( + m 2) u = 0, where u is a scalar valued function, m ≥ 0, = ∂ 2 ∂ x 0 2 − ∑ i = 1 d ∂ 2 ∂ x i 2. In the physics literature, in particular in QFT, one sometimes says that if the unknown function u satisfies boundary conditions then u = 0. Question. bolles college profileWebKlein-Gordon’s equation We consider the scalar field φ(x) which, according to its definition, behaves under Lorentz transformation like φ0(x0) = φ(x). Now L= L(φ,∂φ/∂x µ). Since we want •the Lagrangian density to be invariant under Lorentz transformations •a linear wave equation, the Lagrangian density can contain only the ... glycolic acid cream before and after