- #1
Vectronix
- 64
- 2
- TL;DR Summary
- do they still move?
Can we all agree that electrons still move at absolute zero?
That’s right, it certainly does not mean a point particle moving at high speeds around the nucleus. If that were in fact an accurate model atoms would be unstable; this was one of the original motivations for developing quantum mechanics as an alternative model.Vectronix said:You mean like it doesn't mean a point particle moving at high speeds around the nucleus?
No, since at ##T=0## the electrons are in the ground state, which is an eigenstate of the Hamiltonian, and eigenstates of the Hamiltonian describe stationary states. So nothing moves.Vectronix said:TL;DR Summary: do they still move?
Can we all agree that electrons still move at absolute zero?
But ##\braket{p^2} \neq 0##. I guess it comes down to what "moving" meansvanhees71 said:Then, how can an energy eigenstate describe a moving particle? It's a stationary state!
DrClaude said:But ##\braket{p^2} \neq 0##. I guess it comes down to what "moving" means
Moment without movement. Just like in Bohmian mechanics. Since nearly all physicists agree that this is a shortcoming of Bohmian mechanics, my guess would be that vanhees71 is wrong in this specific case. I just can't believe that Bohmian mechanics should be right in this respect. It will often be the ground state of an harmonic oscillator, and of course oscillate is what it will do.vanhees71 said:These are quantum fluctuations, in this case "zero-point fluctuations", not motion.
No, electrons do not completely stop moving at absolute zero. According to the laws of quantum mechanics, electrons will always have a certain amount of energy and therefore will continue to move.
At absolute zero, the movement of electrons becomes minimal. They will still have some residual energy and may exhibit small vibrations or oscillations, but their movement will be significantly reduced.
No, it is impossible for electrons to reach absolute zero. This is because of the Heisenberg uncertainty principle, which states that it is impossible to know both the position and velocity of a particle at the same time. Therefore, electrons will always have some residual energy and cannot be completely at rest.
At absolute zero, the movement of electrons has a significant impact on the properties of matter. For example, the resistance of a material decreases as the movement of electrons decreases, making it a superconductor. In addition, the magnetic properties of a material also change at absolute zero due to the alignment of electron spins.
Yes, studying electrons at absolute zero has many practical applications. For example, it can help us understand and develop new materials with unique properties, such as superconductors. It also has implications for technologies such as quantum computing, where the behavior of electrons at extremely low temperatures is crucial.