99 citations · 454 across the 13 of their papers we have counts for
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PT-Symmetric Extension of the Korteweg-de Vries Equation
Carl M. Bender, Dorje C. Brody, Junhua Chen +1
The Korteweg-de Vries equation u_t+uu_x+u_{xxx}=0 is PT symmetric (invariant under space-time reflection). Therefore, it can be generalized and extended into the complex domain in…
Equivalence of a Complex $\cP\cT$-Symmetric Quartic Hamiltonian and a Hermitian Quartic Hamiltonian with an Anomaly
Carl M. Bender, Dorje C. Brody, Jun-Hua Chen +3
In a recent paper Jones and Mateo used operator techniques to show that the non-Hermitian $\cP\cT$-symmetric wrong-sign quartic Hamiltonian $H=\half p^2-gx^4$ has the same spectrum…
Classical Trajectories for Complex Hamiltonians
Carl M. Bender, Jun-Hua Chen, Daniel W. Darg +1
It has been found that complex non-Hermitian quantum-mechanical Hamiltonians may have entirely real spectra and generate unitary time evolution if they possess an unbroken $\cP\cT$…