University of Connecticut

Events Calendar

Prof. Philip Mannheim (Physics Colloquium)

Friday, March 5, 2021
3:30pm – 4:30pm

Storrs Campus

Professor Philip Mannheim University of Connecticut Physics Department Colloquium Series

Title: Quantum mechanics off the beaten track

Abstract: We discuss some non-conventional options for quantum theory. We show that not only do Hamiltonians not need to be Hermitian to have real eigenvalues, they do not even need to be diagonalizable or possess a complete spectrum of energy eigenstates. We discuss how to formulate quantum mechanics in such cases. We show that it is not always possible to write the momentum operator as the familiar derivative operator $-id/dx$ where x is real, and discuss what one should then do. Following work by Bender and Mannheim [Phys. Rev. Lett. 100, 110402 (2008)] we show how these issues are relevant to the construction of a consistent theory of quantum gravity in four spacetime dimensions. In this theory there is no observable graviton.


Prof. Philip Mannheim

Physics Department (primary), College of Liberal Arts and Sciences, UConn Master Calendar

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