Square of wave function gives us the probability density

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Discussion Overview

The discussion revolves around the interpretation of the square of the wave function in quantum mechanics, specifically its role in predicting the probability density of a particle's existence. Participants explore foundational concepts in quantum mechanics and the implications of these ideas.

Discussion Character

  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants question how the square of a wave function can predict the existence of a particle, suggesting a need for deeper understanding.
  • Others assert that this interpretation is a fundamental postulate of quantum mechanics, emphasizing that it lacks further explanation beyond experimental verification.
  • A participant raises a question about the source of uncertainty in the wave function, linking it to measurement effects on particles.
  • Another participant challenges this view, referencing an external thread to clarify the origin of the uncertainty principle.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of the wave function and the nature of uncertainty in quantum mechanics. There is no consensus on these points, and the discussion remains unresolved.

Contextual Notes

Limitations include the lack of detailed explanations for foundational postulates and the dependence on experimental verification for acceptance of these concepts.

ahsaas
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we often say that the square of wave function gives us the probability density where the particle is. how can the square of a function might predict about the existence of a particle?
 
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Why not?
 
ahsaas said:

how can the square of a function might predict about the existence of a particle?


It's a fundamental postulate of quantum mechanics, in the wave-mechanics formulation. and therefore has no further explanation. Its justification is the experimental verification of predictions derived from it and the other postulates of QM.
 
jtbell said:
It's a fundamental postulate of quantum mechanics, in the wave-mechanics formulation. and therefore has no further explanation. Its justification is the experimental verification of predictions derived from it and the other postulates of QM.
Is the uncertainty in the wave-function caused by our inability to measure the particles without affecting them?
 

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