A Collaborative National Center for Fusion & Plasma Research
November 9, 2016,
4:15pm to 5:30pm

MBG Auditorium, PPPL (284 cap.)

History and derivation of the Schrödinger equation

Dr. Wolfgang P. Schleich
University of Ulm / Texas A&M University

When Erwin Schrödinger was challenged by Peter Debye in a colloquium in Zürich in 1925 to propose a wave equation for matter he understandably faced a tremendous challenge. Therefore, it is not surprising that he first proposed several equations before he settled for the one that we call today the time-dependent Schrödinger equation. Unfortunately, he did not provide much motivation for his choice. In the present talk we provide a brief history of the birth of the Schrödinger equation and review our work [1] on this topic which centers around three characteristic features of quantum mechanics: (i) it displays a symmetric coupling between the amplitude and the phase of the quantum wave, (ii) it allows for more freedom in phase than the one given by the classical action, and (iii) it allows for gauge invariance.

[1] see for example, W.P. Schleich, D.M. Greenberger, D.H. Kobe, and M.O. Scully, Proc. Nat. Acad. Sci. 110, 5374 (2013)

Colloquium Committee: 

The Princeton Plasma Physics Laboratory 2019-2020 Colloquium Committee is comprised of the following people. Please feel free to contact them by e-mail regarding any possible speakers or topics for future colloquia.

Carol Ann Austin, caustin@pppl.gov
Marc-Andre DeLooz, mdelooz@pppl.gov
Erik Gilson, egilson@pppl.gov
Jessica Ilagan, jilagan@pppl.gov
Igor Kaganovich, ikaganov@pppl.gov

  • Carol Ann Austin 609-243-2484

U.S. Department of Energy
Princeton Plasma Physics Laboratory is a U.S. Department of Energy national laboratory managed by Princeton University.

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