Particles, Astrophysics, and Nuclear Physics Seminar

Quantum Gravity and the Quantum Mechanics of Non-Hermitian Operators

Philip Mannheim
Physics Department

We discuss how to treat quantum-mechanical systems in which the Hamiltonian and the momentum and position operators are not Hermitian on the real axis. In particular we discuss the situation in which the momentum operator cannot be written as -id/dx, and in which the norms of the energy eigenstates cannot be written as the standard Dirac scalar product. We discuss why this issue is of relevance to the construction of a quantum theory of gravity. The talk is designed for the general physics graduate student.

Thursday, September 6, 2007
4:00 pm
Gant Science Complex
Physics Department
Room P121

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