Classical oscillator with position-dependent mass in a complex domain
Mathematical Physics
2009-06-15 v2 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
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].
Cite
@article{arxiv.0803.2531,
title = {Classical oscillator with position-dependent mass in a complex domain},
author = {Subir Ghosh and Sujoy Kumar Modak},
journal= {arXiv preprint arXiv:0803.2531},
year = {2009}
}
Comments
20 pages, 4 figures, title is changed, some new features have been discussed, to appear in Phys. Lett. A