Classical oscillator with position-dependent mass in a complex domain

Details Classical oscillator with position-dependent mass in a complex domain Classical oscillator with position-dependent mass in a complex domain

2008-03-17

arxiv.org/abs/0803.2531v2

Phys.Lett.A373:1212-1217,2009

Physics

Mathematical Physics

20 pages, 4 figures, title is changed, some new features have been discussed, to appear in Phys. Lett. A

Scientific paper

10.1016/j.physleta.2009.02.001

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].

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