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Simulating Quantum Mechanics on Computers

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Part of the TMS Symposium

There are many physical situations which are heavily influenced by quantum mechanical effects, which we just can’t deal with analytically. This raises the question: while it might be (relatively) obvious how to do simulations involving classical physics, for example as with computational fluid dynamics, how might one go about simulating quantum mechanical systems on computers? I’ll begin by describing the path integral picture of quantum mechanics, and then demonstrate that by looking at the resulting formulae in the right way, we end up with various probabilistic methods of doing such computations.

This talk is part of the Trinity Mathematical Society series.

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