What is the wave equation for photon?

What does the Wave Equation tell us about the Photon? E=hν=ℏω,p=hλ=ℏk. Notice, then, that the wave equation tells us that ω=ck and hence E=cp.

What is the wavefunction of a photon?

The wave functions (states) of a single photon, when treated as a particle-like object, are found to be equivalent to the mode functions of the quantized electromagnetic field. This field is conveniently expressed in terms of the complex electromagnetic field, E+ icB .

What is the wavefunction equation?

To find the amplitude, wavelength, period, and frequency of a sinusoidal wave, write down the wave function in the form y(x,t)=Asin(kx−ωt+ϕ). The amplitude can be read straight from the equation and is equal to A. The period of the wave can be derived from the angular frequency (T=2πω).

Does Schrodinger equation work for photons?

The single-photon Schrödinger equation is field (or “second”) quantized in a gauge-invariant way to obtain the quantum field theory of many photons. This approach treats the quantization of electromagnetic radiation in a way that parallels the quantization of material particles and, thus, provides a unified treatment.

Is a photon a wave packet?

The photon’s existence is embodied in a wave function, which gives the probability of measuring the photon at any time, place, and frequency. The wave function for a single photon is usually a “wave packet”–nearly zero everywhere except in a narrow range of space and time.

Which equation is used in relativistic wave function?

Dirac equation
In particle physics, the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928. In its free form, or including electromagnetic interactions, it describes all spin-1⁄2 massive particles such as electrons and quarks for which parity is a symmetry.

Does Schrodinger equation be applied for light wave?

The electromagnetic wave equation, the equation that described the dynamics of light, was used as a prototype for discovering the Schrödinger equation, the equation that describes the wave-like and particle-like dynamics of nonrelativistic massive particles.

What is the wave function of a single photon?

$\\endgroup$. $\\begingroup$ You can also say that the wavefunction of a photon is defined as long as the photon is not emitted or absorbed. The wavefunction of a single photons is used in single-photon interferometry, for example.

How can a single photon be described quantum mechanically?

A single photon is described quantum mechanically by the Maxwell equations, where the solutions are taken to be complex.

How do you find the energy and momentum of a photon?

The energy and momentum of a photon depend only on its frequency () or inversely, its wavelength (λ): where k is the wave vector (where the wave number k = |k| = 2π/λ), ω = 2πν is the angular frequency, and ħ = h/2π is the reduced Planck constant.

Is the vector potential a wave function?

The vector potential contains features that are not physical, as a change of gauge is not reflected in any change of physical properties. Thus its role as a wave function might be somewhat questionable.But still, there must be a wave which explains the well known interference and diffraction patterns.