3k citations · 4.4k across the 20 of their papers we have counts for
5 papers · 1 filter
Giving up the ghost
Carl M. Bender, Philip D. Mannheim
The Pais-Uhlenbeck model is a quantum theory described by a higher-derivative field equation. It has been believed for many years that this model possesses ghost states (quantum st…
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…
Exactly solvable PT-symmetric Hamiltonian having no Hermitian counterpart
Carl M. Bender, Philip D. Mannheim
In a recent paper Bender and Mannheim showed that the unequal-frequency fourth-order derivative Pais-Uhlenbeck oscillator model has a realization in which the energy eigenvalues ar…
Comment on the Quantum Brachistochrone Problem
C. M. Bender, D. C. Brody, H. F. Jones +1
In this brief comment we attempt to clarify the apparent discrepancy between the papers [1] and [2] on the quantum brachistochrone, namely whether it is possible to use a judicious…
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…