Publications Repository - Helmholtz-Zentrum Dresden-Rossendorf

1 Publication
Exceptional and diabolical points in stability questions
Kirillov, O.;
“I never satisfy myself until I can make a mechanical model of a thing” - guided by this motto of Lord Kelvin we would like to invite a reader to look at some modern concepts such as a non-Hermitian Hamiltonian, exceptional points, the geometric phase, and PT -symmetry, through the prism of the classical mechanics and stability theory. Mathematical and historical parallels discussed in the paper evidence that positions occupied by the non-Hermitian physics and non-conservative mechanics are closer to each other than one might expect.
Keywords: Non-Hermitian Hamiltonian, exceptional point, stability, non-conservative system, modulational instability

Publ.-Id: 17186 - Permalink