# Photon momentum

Jeebus
If you do some simple manipulations of the equations E=hf, E=1/2mv^2, P=mv, and p=h/<lambda>, one can derive that the momentum is h/<lambda> or that it is h/(2<lambda>). I know that photons do not always follow normal mechanics, but do they follow the usual rules for mechanics for collisions?

I have heard of numerous situations in which photons have transfered their momentum to other particles or even larger masses, but it is unclear to me how exactly this works. It seems that one could build a device which would have an efficiency greater than 100 percent. In other words, it would not follow the law of conservation of energy.

Why can this not be done?

Is it because the photons transfer energy through various mechanisms, depending on energy?

## Answers and Replies

Gold Member
The momentum of a photon is h/&lambda; and yes they can be involved in collisions with free electrons (compton scattering), where their wavelength is depednet on their angle of scattering. Photons can be absorbed by electrons in bound states too.

Ambitwistor
Originally posted by Jeebus
If you do some simple manipulations of the equations E=hf, E=1/2mv^2, P=mv, and p=h/<lambda>, one can derive that the momentum is h/<lambda> or that it is h/(2<lambda>).

The formulas you used are non-relativistic and do not apply to photons. But the equation p = h/&lambda; is correct.

I know that photons do not always follow normal mechanics, but do they follow the usual rules for mechanics for collisions?

They obey the conservation laws, if that's what you mean.

I have heard of numerous situations in which photons have transfered their momentum to other particles or even larger masses, but it is unclear to me how exactly this works.

Pretty much the same way any other particle transfers momentum.

It seems that one could build a device which would have an efficiency greater than 100 percent. In other words, it would not follow the law of conservation of energy.

Why?

Staff Emeritus
Gold Member
Originally posted by Jeebus
I have heard of numerous situations in which photons have transfered their momentum to other particles or even larger masses

Is this why you say that...

...It seems that one could build a device which would have an efficiency greater than 100 percent.

??

The energy of a particle is given by

E2 = m2c4 + p2c2

A photon, being massless, has an energy E = pc, which can be quite substantial, and it definitely can be transferred to massive particles.

wawenspop
a photon transfers its momemtum or used to increase orbit enegy? 2 different cases or what? Exactly how does it transfer momemtum

Staff Emeritus