D. W. Hook

activity

20052008

most citedComplexified Dynamical Systems

54 citations · 103 across the 5 of their papers we have counts for

collaborators

Showing 2008Show all

2 papers · 1 filter

math-ph2008★ 8 cited

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 $H = p^{2} + V (x)$ is real and discrete if the potential $V (x) \to \infty$ as $x \to \pm \infty$ . However, if $V (x)$ is complex and PT-symmetric, it…

hep-th2008★ 17 cited

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, $H^_{n}$ and $K^_{n}$ (n=2,3,4,...), that have exactly the same eigenvalues is described…