Quantum particle passes over a potential drop

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SUMMARY

The discussion centers on the phenomenon of quantum anti-tunneling, specifically regarding how a quantum particle behaves when passing over a potential drop. Participants reference foundational concepts from undergraduate quantum mechanics, such as wave reflection and transmission. The article by Frank Wilczek from MIT introduces this topic, but the consensus is that the phenomenon is not new and aligns with established principles in quantum mechanics. The conversation highlights the importance of abrupt changes in conditions affecting wave behavior, emphasizing that reflection occurs when the change is more abrupt than the particle's wavelength.

PREREQUISITES
  • Understanding of basic quantum mechanics principles, particularly wave-particle duality.
  • Familiarity with potential barriers and drops in quantum physics.
  • Knowledge of wave reflection and transmission concepts.
  • Basic grasp of boundary conditions in quantum systems.
NEXT STEPS
  • Research the implications of wave reflection in quantum mechanics.
  • Explore the concept of boundary conditions and their effects on quantum particles.
  • Study Frank Wilczek's contributions to quantum physics and his interpretations of anti-tunneling.
  • Investigate numerical analysis techniques used to validate quantum phenomena.
USEFUL FOR

Students of physics, quantum mechanics enthusiasts, and researchers interested in the nuances of wave behavior in quantum systems will benefit from this discussion.

Verne
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A friend and I recently read this article in Scientific American:

http://www.sciam.com/article.cfm?id=new-quantum-weirdness

Now, it seems that this allegedly "new" quantum weirdness/anti-tunneling is nothing more than what you learn in your first semester of undergraduate quantum, i.e. the fact that when a quantum particle passes over a potential drop (instead of running into a potential barrier and possibly tunneling), some of the particle's wave may be reflected and some of it transmitted.

Yet Frank Wilczek of MIT says in the article that this anti-tunneling is an interesting phenomena he had not been conscious of before, which makes me hesitant to think the article is discussing a basic concept. Is this phenomenon not simply a reflected wave, and if not, what is it?
 
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I agree, this seems to be the effect we learn about in basic quantum mechanics. The comment by Griffiths, and the fact that this "antitunneling" was given as an exercise in his textbook, as stated in this text, indicates that this indeed is not a new effect. Perhaps the novelty of this is that that physicist finally has been consciously aware of the effect? :) Seriously, I don't know. It seems some numerical analysis has been done to validate the effect, maybe that's what it is.
 


Interesting post...thanks.

For antitunneling, the analogy is that whenever any wave encounters any abrupt change of conditions—even ones more favorable to its propagation—some of it will reflect back. ... To be sufficiently abrupt, the distance over which conditions change must be shorter than the wavelength (which for a particle is related to momentum). If the change is too gradual, the wave will simply go along, and the particle will act like a soccer ball after all.

Another illustration of "quantum weirdness"..."anything that can happen, will happen"

Perhaps "boundary conditions" play a more complex and subtle role on sub atomic scales than we understand!
 

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