tag:www.math.bgu.ac.il,2005:/he/research/seminars/representation-theory/meetingsRepresentation Theory, בן-גוריוןפרופ' נדיה גורביץngur@bgu.ac.ilhttps://www.math.bgu.ac.il/~ngur/2020-01-23T09:51:20+02:00tag:www.math.bgu.ac.il,2005:MeetingDecorator/6232020-01-23T09:51:20+02:002020-01-23T12:10:39+02:00<span class="mathjax">Eyal Subag: The algebraic symmetry of the hydrogen atom</span>ינואר 23, 16:10—17:00, 2020, 58-201<div class="mathjax"><p>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.</p>
<p>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.</p></div>Eyal SubagPenn State