Short question about probability amplitudes

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Discussion Overview

The discussion revolves around the concept of probability amplitudes in quantum mechanics, specifically addressing the relationship between probability and the forms of probability amplitudes, such as a+bi and a-bi. The scope includes conceptual clarification and technical explanation related to quantum mechanics.

Discussion Character

  • Conceptual clarification, Technical explanation

Main Points Raised

  • One participant questions whether to use the probability amplitude in the form a+bi or a-bi when discussing a probability P.
  • Another participant suggests that the question may be backward, noting that many probability amplitudes can yield the same probability, implying that one cannot determine the amplitude solely from the probability.
  • A participant clarifies that they are not asking for the amplitude itself, which is a² + b², but rather the probability amplitude a+bi that corresponds to that probability.
  • Reference is made to the wave function ψ in quantum mechanics, particularly in the context of Schrödinger's equations.

Areas of Agreement / Disagreement

Participants express differing levels of understanding regarding the question, with some agreeing on the nature of probability amplitudes while others seek clarification. The discussion remains unresolved regarding the specific forms of probability amplitudes and their implications.

Contextual Notes

There is a lack of consensus on the interpretation of probability amplitudes and their relationship to probabilities, as well as the specific examples that could clarify the discussion.

nomadreid
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When one says the probability amplitude for a quantity when it has probability P, which one does one take, the a+bi or the a-bi?
 
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I don't understand your question, perhaps you should try with an example
 
nomadreid said:
When one says the probability amplitude for a quantity when it has probability P, which one does one take, the a+bi or the a-bi?

I am not fully familiar with the subject, but it is either |a+ib| or a2 + b2
 
nomadreid said:
When one says the probability amplitude for a quantity when it has probability P, which one does one take, the a+bi or the a-bi?

I think the problem is, you are asking the question backward. Many probability amplitudes give the same probability, so you can infer the probability from the amplitude, but not the other way around. Thus your question is like asking how old are all the people who have a May 1 birthday.
 
Thanks for the replies.
First, Ken G knew what I was talking about, and his answer makes sense: I gwould guss from his reply that all contexts are "given the probability amplitude A find the probability amplitude B"... ; and none in which you need to find the probability amplitude B given the probability of A. I'll accept that.
Mathman misunderstood my question: I was not asking for the amplitude (which is a2 + b2) but the probability amplitude (which is a+bi such that a2 + b2 = the probability.)
Finally, facenian would like an example of what I am referring to. I am referring to the ψ which you find in quantum mechanics; for example in Schrödinger's equations.
 
I think you have it now!
 

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