PT-symmetric quartic anharmonic oscillator and position-dependent mass in a perturbative approach
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To lowest order of perturbation theory we show that an equivalence can be established between a $\cal PT$-symmetric generalized quartic anharmonic oscillator model and a Hermitian position-dependent mass Hamiltonian $h$. An important feature of $h$ is that it reveals a domain of couplings where the quartic potential could be attractive, vanishing or repulsive. We also determine the associated physical quantities.
8 pages, no figure, to appear in special issue of Czech. J. Phys
8 pages, no figure, to appear in special issue of Czech. J. Phys