What are the inadequacies of Klein-Gordon equation?

The Klein-Gordon equation is only valid for spin 0 particles. Ultimately, it should be replaced with Quantum Field Theory, to be able to deal with particle creation and annihilation.

Who gave Klein-Gordon equation?

3.3. 1 THE DIRAC ELECTRONIC SEA. Paul Dirac used the Klein–Gordon equation to derive a Lorentz transformation invariant equation19 for a single fermion particle.

Is 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 Klein tunneling in graphene?

Klein tunneling refers to the absence of normal backscattering of electrons even under the case of high potential barriers. At the barrier interface, the perfect matching of electron and hole wavefunctions enables a unit transmission probability for normally incident electrons.

Why We Use Klein-Gordon equation?

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.

What is hole in semiconductor?

Holes are formed when electrons in atoms move out of the valence band (the outermost shell of the atom that is completely filled with electrons) into the conduction band (the area in an atom where electrons can escape easily), which happens everywhere in a semiconductor.

What is a hole in physics class 12?

In other words, a hole is an absence of an electron in a particular place in an atom. Hole is not a physical particle in the same sense as an electron, but a hole can be passed from atom to atom in a semiconductor material.

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

The equation describes all spinless particles with positive, negative, and zero charge. Any solution of the free Dirac equation is, for each of its four components, a solution of the free Klein–Gordon equation. The Klein–Gordon equation does not form the basis of a consistent quantum relativistic one-particle theory.

What is the Klein-Gordon equation?

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.

What is the Lorentz-covariant energy–momentum relation?

It is second-order in space and time and manifestly Lorentz-covariant. It is a quantized version of the relativistic energy–momentum relation. Its solutions include a quantum scalar or pseudoscalar field, a field whose quanta are spinless particles. Its theoretical relevance is similar to that of the Dirac equation.

How do you solve a scalar field from a point source?

Now we solve for the scalar field from a point source by Fourier transforming the wave equation. Define the Fourier transforms to be. We now take the transform of both sidesof the equation. To deal with the , we have integrated by parts twice assuming that the field falls off fast enough at infinity.

Which property makes this field a true scalar field?

The property that makes this a true scalar field is that it is invariant under rotations and Lorentz boosts. The Euler-Lagrange equation derived from the principle of least action is