Is the collapse of a wave function deterministic or random?

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SUMMARY

The discussion centers on the nature of wave function collapse in quantum mechanics, specifically whether it is deterministic or random. Participants argue that while the wave function evolves deterministically according to the Schrödinger equation when not measured, the act of measurement introduces randomness, as the particle's position cannot be known until observed. Bell's theorem is referenced to highlight that local realism is incompatible with quantum mechanics, suggesting that the measuring instrument does not contain prior information about the particle's position. The conversation emphasizes the complexity of interpreting quantum mechanics and the necessity of selecting a specific interpretation to address these questions.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly wave function and measurement.
  • Familiarity with Bell's theorem and its implications for local realism.
  • Knowledge of the Schrödinger equation and its role in wave function evolution.
  • Awareness of various interpretations of quantum mechanics, such as Copenhagen and many-worlds.
NEXT STEPS
  • Explore the implications of Bell's theorem in detail.
  • Study the different interpretations of quantum mechanics and their philosophical ramifications.
  • Investigate the role of measurement in quantum mechanics and its effects on wave function collapse.
  • Learn about the Mach-Zehnder interferometer and its significance in quantum experiments.
USEFUL FOR

Physicists, quantum mechanics students, and anyone interested in the philosophical implications of measurement and determinism in quantum theory.

  • #31
Happiness said:
But if there is no collapse, then the different eigenstates superimpose and produce an interference pattern (say, of a double-slits experiment). If the wave function collapses to a single eigenstate, then the interference pattern is destroyed. So the final result is different.
It would mean that you're in a superposition of conscious states. How would you know that? Is there any experiment that can differentiate when the collapse occurs? The apparent lack of self-eating cat suggests that many possibilities are lost as the wave function involves more and more of the macroscopic world. But even that does not suggest that a full collapse ever happens.
 

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