12 citations · 25 across the 5 of their papers we have counts for
5 papers
Spontaneous PT-symmetry breaking for systems of noncommutative Euclidean Lie algebraic type
Sanjib Dey, Andreas Fring, Thilagarajah Mathanaranjan
We propose a noncommutative version of the Euclidean Lie algebra . Several types of non-Hermitian Hamiltonian systems expressed in terms of generic combinations of the generat…
Isospectral Hermitian counterpart of complex non Hermitian Hamiltonian
Asiri Nanayakkara, Thilagarajah Mathanaranjan
In this paper we show that the non-Hermitian Hamiltonians and the conventional Hermitian Hamiltonians () are isospectra…
Explicit energy expansion for general odd degree polynomial potentials
Asiri Nanayakkara, Thilagarajah Mathanaranjan
In this paper we derive an almost explicit analytic formula for asymptotic eigenenergy expansion of arbitrary odd degree polynomial potentials of the form $V(x)=(ix)^{2N+1}+β_{1}x^…
Effects of complex parameters on classical trajectories of Hamiltonian systems
Asiri Nanayakkara, Thilagarajah Mathanaranjan
Anderson have shown that for complex energies, the classical trajectories of quartic potentials are closed and periodic only on a discrete set of e…
Non-Hermitian systems of Euclidean Lie algebraic type with real eigenvalue spectra
Sanjib Dey, Andreas Fring, Thilagarajah Mathanaranjan
We study several classes of non-Hermitian Hamiltonian systems, which can be expressed in terms of bilinear combinations of Euclidean Lie algebraic generators. The classes are disti…