Short question about probability amplitudes

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!
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!

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