Subir Ghosh, Sujoy Kumar Modak
Published 2008-03-17, updated 2009-02-02Version 2
We study complexified Harmonic Oscillator with a position-dependent mass, termed as Complex Exotic Oscillator (CEO). The complexification induces a gauge invariance [19,11]. The role of PT -symmetry is discussed from the perspective of classical trajectories of CEO for real energy. Some trajectories of CEO are similar to those for the particle in a quartic potential in the complex domain [10, 32].
Comments: 20 pages, 4 figures, title is changed, some new features have been discussed, to appear in Phys. Lett. A
Journal: Phys.Lett.A373:1212-1217,2009
Weak-Pseudo-Hermiticity of Non-Hermitian Hamiltonians with Position-Dependent Mass
The period of a classical oscillator
Solution of the Dirac equation with position-dependent mass in the Coulomb field
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