Exploring the Coherence Length and Repeat Length in Wave Packets

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SUMMARY

The discussion centers on the concept of "repeat length" in wave packets, highlighting the confusion surrounding its definition. A wave packet, characterized by its spread and varying peak heights, does not exhibit periodicity in the traditional sense. The consensus suggests that if the coherence length is sufficiently long, the repeat length can be approximated as the mean wavelength within the spread. This interpretation aligns with the mathematical properties of wave packets in quantum mechanics.

PREREQUISITES
  • Understanding of wave packet theory in quantum mechanics
  • Familiarity with coherence length and its implications
  • Knowledge of periodic functions and their properties
  • Basic grasp of wavelength and its role in wave phenomena
NEXT STEPS
  • Research the mathematical formulation of wave packets in quantum mechanics
  • Study the concept of coherence length and its significance in wave propagation
  • Explore the relationship between mean wavelength and wave packet spread
  • Investigate periodic functions and their applications in physics
USEFUL FOR

Students of quantum mechanics, physicists studying wave phenomena, and educators seeking to clarify concepts related to wave packets and coherence.

zarrin77
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It says on my homework that:
"A wave packet is like a periodic function with a repeat length of _______."

I am confused by "repeat length" because I understand a wave packet to NOT repeat anywhere. It has a spread x but the peaks are all different heights, so I do not really understand what they are asking?

Your suggestions are very appreciated =)
 
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If you really believe what you say and have no fear, put this:

"A wave packet is like a periodic function with a repeat length of infinity."

That sentence is very audacious!

The safe answer would probably go something like, "assuming the coherence length to be sufficiently long, the repeat length is the mean wavelength in the spread" (at least I think that's right - someone do correct me if I'm wrong!).
 

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