84 citations · 633 across the 31 of their papers we have counts for
5 papers · 1 filter
-symmetric classical mechanics
Carl M. Bender, Daniel W. Hook
This paper reports the results of an ongoing in-depth analysis of the classical trajectories of the class of non-Hermitian -symmetric Hamiltonians …
Behavior of eigenvalues in a region of broken-PT symmetry
Carl M. Bender, Nima Hassanpour, Daniel W. Hook +3
PT-symmetric quantum mechanics began with a study of the Hamiltonian . When , the eigenvalues of this non-Hermitian Hamiltonian are dis…
Complex classical motion in potentials with poles and turning points
Carl M. Bender, Daniel W. Hook
Complex trajectories for Hamiltonians of the form H=p^n+V(x) are studied. For n=2 time-reversal symmetry prevents trajectories from crossing. However, for n>2 trajectories may inde…
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…
Complex Trajectories of a Simple Pendulum
Carl M. Bender, Darryl D. Holm, Daniel W. Hook
The motion of a classical pendulum in a gravitational field of strength g is explored. The complex trajectories as well as the real ones are determined. If g is taken to be imagina…