- 33
- 0
what is uncertainty principle?
thanks ppl..
thanks ppl..
yes sorry forgot the factor of one half!greater than 1/2(h-bar)
HUP applies to other operators as well.
This is an easily researched topic. Why not do some poking around on the web, and then come back here with more specific questions.
that relation is derived in a more "non rigour" way than the HUP though...You really shouldn't discount the energy-time relation just because time is not a canonical operator. Since the energy of a state is proportional to its frequency, the longer it exists (the more cycles it undergoes) the more certain the energy i.e. the sample variance of the system energy goes down as more cycles pass.
In any event, the energy-time uncertainty relation governs quantum vacuum fluctuations, whose existence has been experimentally verified.
wrong, HUP is a statistical relation, not applicable to one measurment but to severalAs Hesinbergsaid -particle position and momentum both cannot be known at the same time
the best explanation you would get at this link-
I have never understood the logic behind the Heisenberg Uncertainty Principle and neither did Einstein. One of those quirks between Relativity and Quantum Physics and I don't know if it has been resolved. I do know that if one follows the procedures in the calculations, it does work out...
"God does not play dice with the universe..." Einstein
"Don't tell God what to do..." Bohr
I don't recall Einstein having a problem with the Heisenberg Uncertainy Principle. More over, he had larger problems with the Copenhagen interpretation and he was seeking for a local realism interpretation. The Heisenberg Uncertainty Principle falls out simple from the mathematics of quantum mechanics. It is not taken via empirically like the Pauli Exclusion Principle.I have never understood the logic behind the Heisenberg Uncertainty Principle and neither did Einstein. One of those quirks between Relativity and Quantum Physics and I don't know if it has been resolved. I do know that if one follows the procedures in the calculations, it does work out...
"God does not play dice with the universe..." Einstein
"Don't tell God what to do..." Bohr
umm...so what? It's a valid relation. The OP asked about the uncertainty principle. He didn't ask that we critique which versions of it are most rigorously derived.that relation is derived in a more "non rigour" way than the HUP though...
it is only valid for some specific systems, that is why it is not properly to call it a principleumm...so what? It's a valid relation. The OP asked about the uncertainty principle. He didn't ask that we critique which versions of it are most rigorously derived.
now you are making a huge mistake, the pauli principle says that for FERMIONS so of course it is only valid for fermions...really? who doesn't call it a principle?
EDIT: Anyway, there's little point debating what one calls it (I personally refer to it as a 'relation'). I don't think the OP is benefiting from this side discussion. However, given its importance in physics, and since it is typically discussed along with the position-momentum uncertainty relation, I think the energy-time relation is germane to the discussion and the OP would benefit from learning about it. It seems ridiculous to selectively withhold information because it's "not as rigorous" as something else, or is technically "not a principle". Is the Pauli exclusion principle not a 'principle' because it only applies to fermions?
Exactly. So as long as we make it a point to identify the systems to which a principle applies, then we can still call it a principle. You seemed to suggest that because the energy-time relation doesn't apply universally to all systems, that it didn't qualify as a principle. This serves as a counter point. But, if you agree with the rest of what I said in the previous post, perhaps we should call it a day on this topic.now you are making a huge mistake, the pauli principle says that for FERMIONS so of course it is only valid for fermions...
I will be interested in what you have to show...the logic is simple, the derivation is done in school, I can show it to you.
greater than 1/2(h-bar)standard deviation in position times standard deviation in momentum is greater than h-bar
simple