Fundamental Physics/Formulas/Photon

Photon

Photon is defined as energy of a Quanta travels at speed of visible light which can be represented by mathematical formulas below

E=hf=h{\frac {\omega }{2\pi }}=\hbar \omega

p={\frac {h}{\lambda }}=h{\frac {k}{2\pi }}=\hbar k

h=p\lambda

\omega ={\frac {E}{\hbar }}

k={\frac {p}{\hbar }}

\hbar ={\frac {E}{\omega }}={\frac {p}{k}}={\frac {h}{2\pi }}

Photon's states

Photon exists in 2 states .

Radiant photon

Exists at threshold frequency

f_{o}

carries quantum energy of energy of visible light

E=hf_{o}

Non radiant photon

Exists at

f>f_{o}

carries quantum energy greater than energy of visible light

E=hf

with

f>f_{o}

Heiseiberg Uncertainty principle

Photon cannot exist in 2 states at the same time . The chances of finding photon at any one state is one half . This is the uncertainty principle proposed by schroduinger which can be expressed mathematicaaly as

\Delta p\Delta \lambda ={\frac {1}{2}}{\frac {h}{2\pi }}={\frac {h}{4\pi }}={\frac {\hbar }{2}}

Photon's radiation spectrum

Photon has a spectrum and are found in the frequency bands below

VF

Visible frequency of visible light or radiant photon that has frequency range 400-700nm

UVF

Non-radiant photon that has frequency range 400-700nm

X

Non-radiant photon that has frequency range 400-700nm

γ

Non-radiant photon that has frequency range 400-700nm

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