Why is the function must be normalize ? what is the meaning of

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Discussion Overview

The discussion revolves around the concept of normalization in the context of wave functions in quantum mechanics. Participants explore the meaning and implications of normalizing a wave function, particularly focusing on the integral condition ∫ψψ*=1.

Discussion Character

  • Conceptual clarification

Main Points Raised

  • One participant asks why a function must be normalized and seeks to understand the meaning of normalization.
  • Another participant states that normalization means the total probability is 1.
  • A different participant elaborates that it signifies the probability of finding a particle somewhere in the Universe must be exactly 1, suggesting a fundamental aspect of quantum mechanics.
  • One participant notes that normalizing the wave function allows for easier calculations regarding the shape of the wave function without constantly ensuring probabilities are maintained.

Areas of Agreement / Disagreement

Participants generally agree on the significance of normalization in terms of total probability, but the discussion does not resolve deeper implications or interpretations of this concept.

Contextual Notes

The discussion does not address potential limitations or assumptions related to the definitions of normalization or the wave function itself.

sciboudy
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why is the function must be normalize ? what is the meaning of normalization
I know it's ∫ψψ*=1 but what it mean ?
 
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It means the total probability is 1
 


It means that the probability of finding the particle someplace in the Universe must be exactly 1.
[edit] Oli4 just beat me to it.

We need to do this because it is often easier to work out the shape of the wave-function without worrying about keeping the probabilities in line at every step.
 


Okay thank you simon and oli4
 

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