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Quantum mechanics describes the microscopic properties of nature in a regime where classical mechanics no longer applies. It explains phenomena such as the wave-particle duality, quantization of energy, and the uncertainty principle and is generally used in single-body systems. Use the quantum-field-theory tag for the theory of many-body quantum-mechanical systems.

1 vote

Randomness, Chaos, Quantum mechanical probability functions

You should check out these two papers: "The Nature of Randomness: Part 1 - Knowable or Unknowable?" 2008, Journal of Risk Finance, 9, 1. "The Nature of Randomness: Part 2 - Cognitive Constraints," 2 …
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7 votes
3 answers
678 views

Why did decoherence start in the first place?

We learn that the quantum wave function $\Psi$ collapses when it interacts with a classic object (measurement). My question is: Why are there classic objects after all, how did it all start? In a qu …
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5 votes
1 answer
2k views

Does this new quantum experiment rule out the possibility of a many-worlds interpretation?

This brand new published result (nature): Experimental non-classicality of an indivisible quantum system by Radek Lapkiewicz, Peizhe Li, Christoph Schaeff, Nathan K. Langford, Sven Rame …
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2 votes

Very simple example of the way the Fourier transform is used in quantum mechanics?

In quantum mechanics, the momentum and position wave functions are Fourier transform pairs, to within a factor of Planck's constant. With this constant properly taken into account, the inequality abov …
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0 votes

Does this Zeilinger group result provide experimental proof of backward-in-time causation?

A pretty good non-technical summary of the experiment and its possible interpretations is given by Chad Orzel here: Entangled In the Past: “Experimental delayed-choice entanglement swapping”
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-1 votes
1 answer
169 views

What is space according to quantum mechanics?

We have a pretty good idea what space is in general relativity, yet the strange fact of non-locality in quantum mechanics tells a different story. Interestingly enough this non-locality doesn't seem …
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0 votes

How does non-commutativity lead to uncertainty?

A nice account is given in Päs: The One: Checking this idea with his matrix formalism, Heisenberg discovered that it, in fact, wouldn’t allow a simultaneous accurate determination of both position an …
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40 votes
5 answers
15k views

How does non-commutativity lead to uncertainty?

I read that the non-commutativity of the quantum operators leads to the uncertainty principle. What I don't understand is how both things hang together. Is it that when you measure one thing first and …
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