Needs explanation for P in quantum tunneling formula

[DanteKennedy]

TL;DR

I've learned that quantum tunneling probability can be reduced by introducing decoherence, but I still want to know about the exact mechanism for it

I found this formula about transmission probability for particle tunneling and decay constant. I suspect that as particle goes decoherence, the reduced planck constant approaching zero. Is that true? How much and how exactly does decoherence mess with quantum tunneling

 

[PeterDonis]

I found this formula

Where? Please give a reference.

 

[PeterDonis]

I suspect that as particle goes decoherence, the reduced planck constant approaching zero. Is that true?

No. Planck's constant is a constant. It doesn't change no matter what happens to any quantum system.

 

[PeterDonis]

I've learned that quantum tunneling probability can be reduced by introducing decoherence

Where? Please give a reference.

 

[DanteKennedy]

Where? Please give a reference.

I did a google search and asking Claude llm about the general knowledge, but I still don't trust/understand enough about the topic I want to learn. Perhaps you can help me understanding the relationship between quantum tunnelling probability and decoherence?

 

[DanteKennedy]

Where? Please give a reference.

Also, do you have any recommendations for online resources about it?

 

[DanteKennedy]

No. Planck's constant is a constant. It doesn't change no matter what happens to any quantum system.

Oh thanks, I think my sources are misleading

 

[PeterDonis]

asking Claude llm

Please note that we do not recommend LLMs as sources.

I still don't trust/understand enough about the topic I want to learn.

Do you mean the specific topic of quantum tunneling, or QM in general?

I would say that it's going to be very, very difficult to understand the former, if you don't have a good basic understanding of the latter. Quantum tunneling in particular is a topic about which there is a lot of misinformation in pop science sources.

The best way to learn QM in general is to take the time to work through a basic QM textbook. My personal preference is Ballentine, but that's usually considered a high level Undergraduate or Graduate text, and you marked this topic as High School. Unfortunately I don't know of a good High School level introduction to QM in general--it's a topic that wasn't even taught in high school when I went. (Never mind how long ago that was...)

Perhaps you can help me understanding the relationship between quantum tunnelling probability and decoherence?

If you are thinking that this relationship is something that is standardly taught as part of teaching QM, or a well recognized QM topic, I don't think it is; at any rate I'm not aware of it. That's why I asked for references. If your only references are a Google search and LLMs, then I would agree with you that your sources are misleading you.

 

[DanteKennedy]

Quantum tunneling in particular is a topic about which there is a lot of misinformation in pop science sources.

Thanks for all the info. But I wonder if you recognized some examples of misleading knowledge regarding quantum tunneling probability in general? It may help me identify some in the future

 

[PeterDonis]

I wonder if you recognized some examples of misleading knowledge regarding quantum tunneling probability in general? It may help me identify some in the future

The best way to avoid misleading knowledge is to be very careful what sources you look at (the best ones are textbooks and peer-reviewed papers). Trying to compile a list of misleading things so you can spot them and ignore them when looking at a wider variety of sources is not feasible.