42 citations · 113 across the 4 of their papers we have counts for
Showing quant-phShow all
3 papers · 1 filter
quant-ph2008★ 42 cited
Non-Hermitian Hamiltonians of Lie algebraic type
Paulo E. G. Assis, Andreas Fring
We analyse a class of non-Hermitian Hamiltonians, which can be expressed bilinearly in terms of generators of a sl(2,R)-Lie algebra or their isomorphic su(1,1)-counterparts. The Ha…
quant-ph2007★ 28 cited
Metrics and isospectral partners for the most generic cubic PT-symmetric non-Hermitian Hamiltonian
Paulo E. G. Assis, Andreas Fring
We investigate properties of the most general PT-symmetric non-Hermitian Hamiltonian of cubic order in the annihilation and creation operators as a ten parameter family. For variou…
quant-ph2007★ 26 cited
The quantum brachistochrone problem for non-Hermitian Hamiltonians
Paulo E. G. Assis, Andreas Fring
Recently Bender, Brody, Jones and Meister found that in the quantum brachistochrone problem the passage time needed for the evolution of certain initial states into specified final…