3k citations · 4.4k across the 21 of their papers we have counts for
4 papers · 1 filter
Faster than Hermitian Quantum Mechanics
Carl M. Bender, Dorje C. Brody, Hugh F. Jones +1
Given an initial quantum state |psi_I> and a final quantum state |psi_F> in a Hilbert space, there exist Hamiltonians H under which |psi_I> evolves into |psi_F>. Consider the follo…
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 $\cP\cT$…
Calculation of the Hidden Symmetry Operator for a $\cP\cT$-Symmetric Square Well
Carl M. Bender, Barnabas Tan
It has been shown that a Hamiltonian with an unbroken $\cP\cT$ symmetry also possesses a hidden symmetry that is represented by the linear operator $\cC$. This symmetry operator $\…