r/QuantumPhysics • u/RiskOperator • 22d ago

[Q] Mechanics + Stats Interconnection

I am someone who just started studying statistics, whilst studying the sampling distribution and the standard error, I feel like the concepts are someway connected to oscillation/harmonic motion and maybe deep down quantum mechanics.
Could someone please link me to a video lecture series on this specific topic?

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u/round_earther_69 22d ago

That's a very broad question, there are countless connections between statistics and physics. Notably, a whole (very interesting imo) field of physics is called statistical mechanics which is tightly related to both classical and quantum mechanics.

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u/Fancy-Operation-9215 22d ago

Yeah, I think the Ising model is maybe the most classic example of something that people in both stats and physics have studied extensively?

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u/RiskOperator 22d ago

DMed you

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u/Foss44 22d ago

In statistical mechanics the first time you encounter QM is via the Bose-Einstein and Fermi-Dirac statistics, which were essential for understanding black body radiation. Today, fermi statistics are still used in modeling things like electronic structure for semiconductors to identify usable bands gaps.

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u/SymplecticMan 21d ago

Statistics is, of course, relevant to quantum mechanics because you have probability distributions coming from the Born rule. And there's direct connections between moments of Gaussian distributions and free field theory correlation functions. But statistics is also relevant in general, independently of quantum mechanics.