**UM Math Graduate Student Seminar**

Eric Ling

* University of Miami *

**will present**

**Quantum Theory and the Origin of Spin**

Friday, September 16, 2016, 5:00pm

Ungar Building Room 402

**Abstract: **

"No theorist in his right mind would have invented quantum mechanics unless forced to by data" - Craig Hogan. In this talk I will give a brief overview of the (frustrating) origins of quantum mechanics. I will show how we can use the Stern-Gerlach experiment (and its experimental discovery of spin) to determine what the axioms of quantum mechanics ought to be and demonstrate why the underlying space is a Hilbert space. Lastly, I will show how Dirac was able to combine quantum theory and relativity to theoretically predict spin, and while doing so, he inadvertently predicted antimatter.

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