A. Nanayakkara

activity

20142022

most citedTransfiguration of Quantum Walks on a line

4 citations · 10 across the 6 of their papers we have counts for

collaborators

Showing math-phShow all

3 papers · 1 filter

math-ph2014★ 1 cited

Isospectral Hermitian counterpart of complex non Hermitian Hamiltonian $p^{2} - g x^{4} + a / x^{2}$

Asiri Nanayakkara, Thilagarajah Mathanaranjan

In this paper we show that the non-Hermitian Hamiltonians $H = p^{2} - g x^{4} + a / x^{2}$ and the conventional Hermitian Hamiltonians $h = p^{2} + 4 g x^{4} + b x$ ( $a, b \in R$ ) are isospectra…

math-ph2014★ 1 cited

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^…

math-ph2014

Effects of complex parameters on classical trajectories of Hamiltonian systems

Asiri Nanayakkara, Thilagarajah Mathanaranjan

Anderson $et al$ have shown that for complex energies, the classical trajectories of $real$ quartic potentials are closed and periodic only on a discrete set of e…

Isospectral Hermitian counterpart of complex non Hermitian Hamiltonian p2−gx4+a/x2

Explicit energy expansion for general odd degree polynomial potentials

Effects of complex parameters on classical trajectories of Hamiltonian systems

Isospectral Hermitian counterpart of complex non Hermitian Hamiltonian $p^{2} - g x^{4} + a / x^{2}$