Anyone familiar with QM will be fully aware that
frequency and momentum go hand in hand, related by a simple proportionality factor. Hence the explanation of the uncertainty principle in terms of superposition of waveforms, for example.
As for references here is de Broglie's relation:
https://en.wikipedia.org/wiki/Matter_wave
Ex Chemist....
False and inaccurate statement. I am sorry you have miserably let the forum down after claiming yourself as Quantum Chemistry guy, you are out of your depths..
On the context, you supported 'Origin' statement that Photo Electric effect is proportional to momentum of photon, another inaccurate statement..
Right you are exchemist.
So both the photoelectric effect and the momentum of the incident photon are directly proportional to the photons frequency.
No, Ex Chemist is wrong ! And sorry your statement that Photo Electric Effect is directly proportional to photon frequency makes sense, but non scientific loose statement, the other statement that momentum is proportional to frequency is inaccurate statement.
http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.113.263005
Photon Momentum Sharing between an Electron and an Ion in Photoionization: From One-Photon (Photoelectric Effect) to Multiphoton Absorption:
ABSTRACT
We investigate photon-momentum sharing between an electron and an ion following different photoionization regimes. We find very different partitioning of the photon momentum in one-photon ionization (the photoelectric effect) as compared to multiphoton processes. In the photoelectric effect, the electron acquires a momentum that is much greater than the single photon momentum ℏω/c [up to (8/5) ℏω/c] whereas in the strong-field ionization regime, the photoelectron only acquires the momentum corresponding to the photons absorbed above the field-free ionization threshold plus a momentum corresponding to a fraction (3/10) of the ionization potential Ip. In both cases, due to the smallness of the electron-ion mass ratio, the ion takes nearly the entire momentum of all absorbed N photons (via the electron-ion center of mass). Additionally, the ion takes, as a recoil, the photoelectron momentum resulting from mutual electron-ion interaction in the electromagnetic field. Consequently, the momentum partitioning of the photofragments is very different in both regimes. This suggests that there is a rich, unexplored physics to be studied between these two limits which can be generated with current ultrafast laser technology.
Great !! Generally I oppose your copy paste and links. but this one is an abstract of a scientific paper and a great one. This shows the kind of efforts you have put in, in classical literature you do not get terms like Photo Electric effect and momentum of photon together in the same para... Interesting paper and will be useful to all those readers who likes to get into intricacies. I really appreciate your enthusiasm and spirit.
Without taking away any credit from you, I wish to state that this paper talks of (one of the aspect) about Conservation of Momentum during the Photo Electric Effect process. The Conservation of momentum in absence of external force is a basic Physics concept and this papers attempts to resolve that by linking remaining momentum with ion which is still bonded with the target metal. The paper does not prove that Photo Electric effect is related to momentum of photon, leave aside directly proportional to momentum. Nonetheless great effort from you. It s like this, Paddoboy, angular momentum needs to be conserved during BH formation by core collapse, but we do not say that Black hole Formation process is directly proportional to angular momentum or such things.
As for banging on about momentum; a photon's energy is proportional to its frequency (this is 1st year physics, or even high school), so its momentum is too.
Arf, you were doing great with those matrices, until you succumb to this. Yes, right, photon's energy is directly proportional to frequency under all circumstances, but can we say that momentum is also directly proportional to frequency under all circumstances...I am afraid, no. You appear to be a maths guy, Ex. Chemist supporting this inaccuracy probably motivated you.
If y'all hate each other this much, start a fucking fan page on farcebook. Leave this place open to discussion instead of personal shit slinging. Damn, it gets tiresome reading past you two.
You are a nice jovial fellow. Yes personal fights are farcical, but inaccurate science by a self claimed experts in a science forum is blasphemy. I do not tolerate such farce.
PS : I had undertaken that if I am proved wrong in any of these 3 responses (Q1,Q2,Q3 with Paddoboy), I will apologise to entire forum in particular to Paddoboy and walk out. I stand by that. Q3 is settled, Q2 is almost at the verge and will be settled by my next post where it will be proved that Photo Electric Effect has no dependence on Momentum of Photon as being stated by Ex.chemist, origin etc.
(Hint : Try looking at Energy and momentum equations in a medium, Photon Momentum is always h/lambda, but it is hf/c only in vacuum. It is always correct to say that photon momentum is inversely proportional to wavelength, but it is not always correct to say that it is proportional to frequency.)