Entropic effects of the Uncertainty Principle?

Click For Summary
SUMMARY

The discussion centers on the Heisenberg uncertainty principle and its implications for thermal energy transfer and entropy at the quantum level. It concludes that uncertainty does not facilitate the transfer of thermal energy; rather, it reduces the amount of information and, consequently, entropy. The use of Hermite functions is highlighted as a method to visualize the relationship between spatial and Fourier domains. Additionally, the discussion touches on quantum tunneling and alpha particle emission as phenomena that rely on uncertainty for energy transfer.

PREREQUISITES
  • Understanding of the Heisenberg uncertainty principle
  • Familiarity with Hermite functions and their properties
  • Basic knowledge of quantum mechanics concepts such as quantum tunneling
  • Awareness of entropy and thermal energy transfer in physics
NEXT STEPS
  • Explore the mathematical foundations of Hermite functions in quantum mechanics
  • Research the role of Planck's constant in quantum information theory
  • Investigate the implications of quantum tunneling in modern electronics
  • Study the relationship between entropy and information theory in quantum systems
USEFUL FOR

Physicists, quantum mechanics students, and researchers interested in the interplay between uncertainty, entropy, and thermal energy transfer at the quantum level.

oknow
Messages
19
Reaction score
2
Per the Heisenberg uncertainty principle, a particle does not have a precisely defined location. Does such uncertainty contribute to the transfer of thermal energy (i.e. entropy)? Is uncertainty the primary means for the transfer of thermal energy at the quantum level?
 
Physics news on Phys.org
It is rather the opposite, the uncertainty reduces the amount of information, and hence the amount of entropy. One way to get some feeling for this is to look at the Hermite functions. They are eigenfunctions of the Fourier transform, and allow you to nicely visualize how the volume increases (simulateneously in the spatial and Fourier domain) when you include more of them.

Planck's constant sort of gives you the unit for how that amount of information gets counted.
 
  • Like
Likes   Reactions: vanhees71 and Dale
Thanks for your reply. I'm thinking of effects like quantum tunneling. alpha particle emission, current leakage from electronics, etc. in which particles escape their classical range limits. AFAIK, without uncertainty, those effects would not occur, and their corresponding transfer of thermal energy would not happen.
 

Similar threads

  • · Replies 32 ·
2
Replies
32
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 25 ·
Replies
25
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 36 ·
2
Replies
36
Views
6K