78 citations
- Concordia UniversityCA10 papers
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Showing 2014 · math-phShow all
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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 have shown that for complex energies, the classical trajectories of quartic potentials are closed and periodic only on a discrete set of e…
math-ph2014★ 27 cited
Coherent state Quantization of quaternions
B. Muraleetharan, K. Thirulogasanthar
Parallel to the quantization of the complex plane, using the canonical coherent states of a right quaternionic Hilbert space, quaternion field of quaternionic quantum mechanics is…