Wavelength of matter wave at v=0

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Discussion Overview

The discussion revolves around the implications of setting the velocity of a large particle to zero, particularly in relation to its wave-like behavior and the uncertainty principle. Participants explore concepts of delocalization, momentum, and the physical realizability of certain states.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant questions whether a particle with zero velocity would spread out into the universe, suggesting a form of complete delocalization.
  • Another participant asserts that it is not possible to make the velocity exactly zero, implying a limitation in the discussion.
  • Some participants inquire if the scenario relates to the uncertainty principle, indicating a potential overlap between momentum and position constraints.
  • A participant elaborates that states with definite momentum lead to non-normalizable wave-functions, which cannot be physically realized, and highlights the complications of having both known momentum and position for a stationary particle.

Areas of Agreement / Disagreement

Participants express differing views on the feasibility of achieving zero velocity and the implications of the uncertainty principle, indicating that multiple competing perspectives remain without a consensus.

Contextual Notes

The discussion touches on the limitations of defining states with zero momentum and the implications for physical realizability, but does not resolve these complexities.

Amal George M
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if velocity of a huge particle is made zero what will happen?? will the particle spread out into the universe aka complete delocalization??
 
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You cannot make it exactly zero for this reason.
 
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Does this fall under the uncertainty principle?
 
Drakkith said:
Does this fall under the uncertainty principle?

I think its more that states with a definite momentum have a wave-function that that's not normalisable ie doesn't fall off at infinity hence is not physically realizable.

Although zero momentum poses the added complication its at rest ie stationary so it has both known momentum and position which is not possible via the uncertainty principle.

Thanks
Bill
 

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