Quantized electron orbits in Bohmian mechanics

[bluecap]

I entered in physicsforums archive search the wildcards "bohmian why electrons don't lose energy atom" but only got one hit that isn't related to it. In Bohmian mechanics, electron is localized and has trajectory.. why can't it lose energy as it rotates around the nucleus? What wildcard words must I enter to read previous answer about it? Or can anyone answer it?

 

[mfb]

The electron position in Bohmian mechanics does not matter, the radiation depends on the wave function only.
Waves act on particles, but those don't act back on waves.

 

[bluecap]

The electron position in Bohmian mechanics does not matter, the radiation depends on the wave function only.
Waves act on particles, but those don't act back on waves.

What? In classical mechanics.. moving charges lose energy. What do you mean by "radiation"? radiation of what? The particle in Bohmian is localized.. so as the pilot wave rotate around the nucleus.. the localized particle also rotate around the nucleus.. does it not? Hence should lose energy.

 

[mfb]

What do you mean by "radiation"? radiation of what?

Electronmagnetic radiation. The process of the energy loss.

In classical mechanics.. moving charges lose energy.

Accelerated charges, not moving. Yes, but this is not classical mechanics, so you should not expect classical mechanics to apply.

 

[bluecap]

Electronmagnetic radiation. The process of the energy loss.Accelerated charges, not moving. Yes, but this is not classical mechanics, so you should not expect classical mechanics to apply.

So what you were stating was "the electromagnetic radiation depends on the wave function only".. but this is in Copenhagen where particles are the wave function. In Bohmian, the particles are not the wave function, the particles are particles and the wave function is the pilot wave.. therefore you can't use the facts in Copenhagen to say it is the pilot wave that is accelerating.. shouldn't they be the localized particles?

 

[mfb]

So what you were stating was "the electromagnetic radiation depends on the wave function only".. but this is in Copenhagen where particles are the wave function.

It is true in all interpretations. It is usually called pilot wave in Bohmian mechanics instead of wave function, but that is just a different name. The particle position is irrelevant for interactions. It simply does not appear in the equations for those interactions.

 

[bluecap]

It is true in all interpretations. It is usually called pilot wave in Bohmian mechanics instead of wave function, but that is just a different name. The particle position is irrelevant for interactions. It simply does not appear in the equations for those interactions.

So currents in Bohmian is produced by moving pilot wave and not moving particles...
so what is the relevance of particle position? What properties does it give ...

 

[mfb]

In measurements, it picks one outcome which is considered as "the universe", the other ("possible") outcomes can be discarded after decoherence. Instead of random chance like for collapse interpretations, the measurement result is deterministic and depends on the unknown initial position of the particle.

 

[bluecap]

In measurements, it picks one outcome which is considered as "the universe", the other ("possible") outcomes can be discarded after decoherence. Instead of random chance like for collapse interpretations, the measurement result is deterministic and depends on the unknown initial position of the particle.

Are what you were saying the original concept in Bohmian Mechanics? Or updated concept by other authors? I thought the pilot wave pulled on the particle like a string or a horse on the cart, so the particle is the one with accelerating charges.

 

[Nugatory]

Mentor says: Several posts leading to an off-topic digression about whether Bohmian interpretations are valid have been removed. There's a question in the first post of this thread; try to stick with it.

 

[Demystifier]

I entered in physicsforums archive search the wildcards "bohmian why electrons don't lose energy atom" but only got one hit that isn't related to it. In Bohmian mechanics, electron is localized and has trajectory.. why can't it lose energy as it rotates around the nucleus? What wildcard words must I enter to read previous answer about it? Or can anyone answer it?

In classical mechanics, an accelerated charge radiates. But Bohmian mechanics is not classical mechanics. Classical particles have a direct influence on the electromagnetic field (the influence is described by the inhomogeneous Maxwell equations), which is why they radiate. Bohmian particles do not have such influence on the electromagnetic field.