84 citations · 633 across the 31 of their papers we have counts for
4 papers · 1 filter
Chaotic systems in complex phase space
Carl M. Bender, Joshua Feinberg, Daniel W. Hook +1
This paper examines numerically the complex classical trajectories of the kicked rotor and the double pendulum. Both of these systems exhibit a transition to chaos, and this featur…
Information geometry in vapour-liquid equilibrium
Dorje C. Brody, Daniel W. Hook
Using the square-root map p-->\sqrt{p} a probability density function p can be represented as a point of the unit sphere S in the Hilbert space of square-integrable functions. If t…
Conjecture on the analyticity of PT-symmetric potentials and the reality of their spectra
Carl M Bender, Daniel W Hook, Lawrence R Mead
The spectrum of the Hermitian Hamiltonian is real and discrete if the potential as . However, if is complex and PT-symmetric, it…
Exact Isospectral Pairs of PT-Symmetric Hamiltonians
Carl M. Bender, Daniel W. Hook
A technique for constructing an infinite tower of pairs of PT-symmetric Hamiltonians, and (n=2,3,4,...), that have exactly the same eigenvalues is described…