Does the wave function shorten when approaching light speed?

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SUMMARY

Objects exhibit exponential length contraction as they approach the speed of light, but this principle does not apply to the wave function. The wave function is not an object that moves through space, thus it does not experience shortening. This distinction is crucial for understanding the relationship between quantum mechanics and relativity. For further insights, refer to Mark Srednicki's Quantum Field Theory textbook, which provides foundational knowledge on these concepts.

PREREQUISITES
  • Understanding of special relativity principles
  • Familiarity with quantum mechanics concepts
  • Knowledge of wave functions in quantum physics
  • Basic grasp of massless particles, specifically photons
NEXT STEPS
  • Read Mark Srednicki's Quantum Field Theory textbook for foundational concepts
  • Explore the implications of length contraction in special relativity
  • Investigate the nature of wave functions in quantum mechanics
  • Study the behavior of massless particles like photons in quantum field theory
USEFUL FOR

Physicists, students of quantum mechanics and relativity, and anyone interested in the reconciliation of quantum theories with relativistic principles.

KBon
Relative to the observer, objects shorten when approaching the speed of light exponentially. Does this rule also apply to the wave function? Does this rule also apply to massless particles like Photons?

Or am I just simply forgetting something?
 
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Wave function is not an object that move in space, so the answear is: no. With photons: can you rephrase your question? It doesn't make much sense. But I guess the answear will still be no:wink:
 
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There's a lot more to reconciling quantum mechanics and relativity than just tweaking your notion of the wave function. You can get a sense of just how much more from something like the first chapter of Mark Srednicki's QFT textbook; a free publicly available draft is linked from https://web.physics.ucsb.edu/~mark/qft.html (I'm not recommending this one because it's better or worse than any other, it just happens to available free online without violating any copyrights).
 
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