Energy absorbed by an electron

[sanpokhrel]

When radiation of frequency less than threshold frequency falls on a surface of metal, it gives energy to the electron and at a instant later another radiation of same frequency strikes the same electron, if the energy of two photon equals or is greater than the work function of the electron in that metal, does the electron get out of the metal surface?

What will happen if those two photon strike the electron at the same time.

 

[hilbert2]

I think that would be something called a "higher-order process", which is significantly less likely than excitation by a single photon. I don't think it's possible to talk about the exact time when a collision happens in a quantum system.

 

[NFuller]

See this thread https://www.physicsforums.com/threads/are-any-electrons-ejected-below-the-threshold-frequency.919568/

 

[ZapperZ]

When radiation of frequency less than threshold frequency falls on a surface of metal, it gives energy to the electron and at a instant later another radiation of same frequency strikes the same electron, if the energy of two photon equals or is greater than the work function of the electron in that metal, does the electron get out of the metal surface?

What will happen if those two photon strike the electron at the same time.

This process is called 2-photon photoemission. It is quite common in accelerator physics where photoelectrons are generated by intense laser source. I've even published a paper that dealt with this.

The process has less probability of occurring than single-photon photoemission, beause (i) the 2nd photon has to strike in the same vicinity as as the excited electron and (ii) the 2nd photon has to strike and give off its energy BEFORE that excited electron has decayed back into the Fermi sea.

I've written more about this here:

https://www.physicsforums.com/insights/violating-einsteins-photoelectric-effect-model/

Zz.

 

[hilbert2]

Can this be modeled with a 2-level quantum system, by applying a time-dependent perturbation with a frequency lower than the energy gap between states and calculating the 2nd order time-dependent perturbation theory approximation for the transition probability to the excited state? The main problem would probably be that in the photoelectric effect there's a continuum of final states while in the 2-level system there's only one state of course.

 

[ZapperZ]

Can this be modeled with a 2-level quantum system, by applying a time-dependent perturbation with a frequency lower than the energy gap between states and calculating the 2nd order time-dependent perturbation theory approximation for the transition probability to the excited state? The main problem would probably be that in the photoelectric effect there's a continuum of final states while in the 2-level system there's only one state of course.

It is often modeled as a "Rydberg-type" atom. Read the references that I gave related to this in the link.

Zz.

 

[sanpokhrel]

This process is called 2-photon photoemission. It is quite common in accelerator physics where photoelectrons are generated by intense laser source. I've even published a paper that dealt with this.

The process has less probability of occurring than single-photon photoemission, beause (i) the 2nd photon has to strike in the same vicinity as as the excited electron and (ii) the 2nd photon has to strike and give off its energy BEFORE that excited electron has decayed back into the Fermi sea.

I've written more about this here:

https://www.physicsforums.com/insights/violating-einsteins-photoelectric-effect-model/

Zz.

I read your paper. Is there possibility that the radiation will hit the proton. What happens to the energy of photon if it strikes proton. Will it emit another photon by decreasing energy of proton?

 

[ZapperZ]

I read your paper. Is there possibility that the radiation will hit the proton. What happens to the energy of photon if it strikes proton. Will it emit another photon by decreasing energy of proton?

This is now outside the scope of your own topic, isn't it?

Zz.

 

[sanpokhrel]

This is now outside the scope of your own topic, isn't it?

Zz.

But it would be nice if you would explain.

 

[ZapperZ]

But it would be nice if you would explain.

Create another thread with the appropriate topic and maybe someone might. Otherwise, it would be nice to know if your question has been answered. It's not often that a particular question or thread can be acknowledged to be just that.

Zz.