Undergrad The lore on complex probabilities

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The discussion centers on the origins of complex probabilities in quantum mechanics, particularly linked to Feynman's interpretation of space-time paths and their relation to Dirac's work. The participants explore the historical context, noting that Dirac's 1930 edition of "The Principles of Quantum Mechanics" might contain relevant insights. There is uncertainty about the specific sources of this lore, with references to Feynman's acknowledgment of Dirac's influence but also a disagreement on its significance. The conversation highlights the rarity of early editions of Dirac's work, making it challenging to verify these details. Overall, the thread emphasizes the intricate connections between foundational quantum mechanics concepts and their historical development.
arivero
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I think that the lore on the need of having probability interference in quantum mechanics and then a complex probability originates in Feynman interpretation of space-time paths, whose probability is weighed with a complex exponential that approaches a dirac delta.

But I can not pinpoint a concrete source of this lore; perhaps it even predated the path integral. Any guesses?
 
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AFAIK Dirac mentioned it in 32. The Action Principle, The Principles of Quantum Mechanics.
 
Going to check, thanks. It makes sense because Feynman claims to have got is insight from Dirac, I think from some work on contact transformations. But also [I believe to remember that he told...] that he was unable to agree with Dirac on the significance.
 
I see, this is the third edition, that already uses Dirac notation:

1707148447124.png


Is it the same in the 1932 edition?
 
1930 you mean. It was the 1st edition, second came in 1935, third in 1947, and fourth and final in 1958. I don't have access to any of thr first two editions. Very rare in libraries.
 
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

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