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{\Large Department of Mathematics, BGU}

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{\Huge Representation Theory}\\[0.2\baselineskip]

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\textbf{On} \emph{Thursday, January 23, 2020}
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\textbf{At} \emph{16:10 -- 17:00}
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\textbf{In} \emph{58-201}

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{\large\scshape Eyal Subag 
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  (Penn State)
}
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will talk about
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{\Large\bfseries The algebraic symmetry of the hydrogen atom\par}
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\textsc{Abstract:}
The hydrogen atom system is a fundamental example of a quantum mechanical system. Symmetry plays the main role in our current understanding  of the system. In this talk I will describe a new type of algebraic symmetry for the system. I will show that the collection of all regular solutions of the Schrödinger equation is an algebraic family of representations of different algebras.  Such a family is known as an algebraic family of Harish-Chandra modules. The algebraic family has a canonical filtration from which the physically relevant solutions and the spectrum of the Schrödinger operator can be recovered.

If time permits I will relate the spectral theory of the Schrödinger operator to the algebraic family.  No prior knowledge about quantum mechanics or        representation theory will be assumed.





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{\bfseries Please Note the Unusual Day and Time!}
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