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arXiv · 1907.05543

QES solutions of a two-dimensional system with quadratic nonlinearities

Bhabani Prasad Mandal·Brijesh Kumar Mourya·Aman Kumar Singh
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Abstract

We consider a one parameter family of a PT symmetric two dimensional system with quadratic non-linearities. Such systems are shown to perform periodic oscillations due to existing centers. We describe this systems by constructing a non-Hermitian Hamiltonian of a particle with position dependent mass. We further construct a canonical transformation which maps this position dependent mass systems to a QES system. First few QES levels are calculated explicitly by using Bender-Dunne (BD) polynomial method.

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Bhabani Prasad Mandal, Brijesh Kumar Mourya, Aman Kumar Singh. 2020-03-22. QES solutions of a two-dimensional system with quadratic nonlinearities. https://arxiv.org/abs/1907.05543

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