What does the Klein-Gordon equation describe?

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 time and manifestly Lorentz-covariant. It is a quantized version of the relativistic energy–momentum relation ( ).

Is Klein-Gordon equation classical?

Likewise, you can imagine that coherent states involving many “Klein-Gordon particles” (sometimes called scalar mesons) are well described by a classical scalar field satisfying the Klein- Gordon equation. The KG equation originally arose in an attempt to give a relativistic generalization of the Schrödinger equation.

What type of particles obey Klein-Gordon equation?

An equation obeying the laws of special relativity is the Klein-Gordon equation, KGE, which describes spin-0 particles with relativistic energy. Such a particle is the pi meson, the pion. A pion is a short lived subatomic particle that can take the place of an electron in an atom creating a pionic atom [1].

What is M in Klein-Gordon equation?

The Klein–Gordon equation has the form. [☐ − (mc/ħ)2]ψ = 0, where ☐ = ∇2 − (1/c2)(∂/∂t2), and ∇2 is the Laplace operator (see Laplace equation), m is the mass of the particle, c is the speed of light, ħ is the Dirac constant (see Planck constant), and ψ is the wave function of the particle.

Is the Klein-Gordon equation linear?

The Klein-Gordon equation is the linear partial differential equation which is the equation of motion of a free scalar field of possibly non-vanishing mass m on some (possibly curved) spacetime (Lorentzian manifold): it is the relativistic wave equation with inhomogeneity the mass m2.

What is difference between Klein Gordon and Dirac’s equation?

The Klein-Gordon field gives a spin 0 representation, while the Dirac equation gives two spin 1/2 representations (which merge to a single representation if one also accounts for discrete symmetries). The components of every free field satistfy the Klein-Gordon equation, irrespective of their spin.

Is the Schrodinger equation Lorentz invariant?

Abstract. The Schrodinger equation is not Lorentz Invariant, so it cannot be applied to the wave functions of moving particles. However, the Classical Wave Equation is Lorentz Invariant and is also satisfied by particle wave functions.

Is Schrodinger equation relativistic?

The Schrödinger equation is a non-relativistic approximation to the Klein-Gordon equation. The properties (momentum, energy.) described by solutions of Schrödinger equation should depend in the proper way of the Galilei reference frame.