Asiri Nanayakkara
Articles written in Pramana – Journal of Physics
Volume 61 Issue 4 October 2003 pp 739-747 Brief Reports
Higher-order semiclassical energy expansions for potentials with non-integer powers
In this paper, we present a semiclassical eigenenergy expansion for the potential |x|^{α} when α is a positive rational number of the form
Volume 76 Issue 1 January 2011 pp 37-45 Research Articles
Application of Lie transform perturbation method for multidimensional non-Hermitian systems
Three-dimensional non-Hermitian systems are investigated using classical perturbation theory based on Lie transformations. Analytic expressions for total energy in terms of action variables are derived. Both real and complex semiclassical eigenvalues are obtained by quantizing the action variables. It was found that semiclassical energy eigenvalues calculated with the classical perturbation theory are in very good agreement with exact energies and for certain non-Hermitian systems second-order classical perturbation theory performed better than the secondorder Rayleigh–Schroedinger perturbation theory.
Volume 82 Issue 6 June 2014 pp 973-983 Research Articles
Effects of complex parameters on classical trajectories of Hamiltonian systems
Asiri Nanayakkara Thilagarajah Mathanaranjan
Anderson
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