3 research outputs found
Classical oscillator with position-dependent mass in a complex domain
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].Comment: 20 pages, 4 figures, title is changed, some new features have been
discussed, to appear in Phys. Lett.