3k citations · 4.4k across the 21 of their papers we have counts for
Showing 2008 · hep-thShow all
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hep-th2008★ 38 cited
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…
hep-th2008★ 179 cited
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…
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, and (n=2,3,4,...), that have exactly the same eigenvalues is described…