Quantizing Billiards with Arbitrary Trajectories
chao-dyn
2007-05-23 v1 混沌动力学
摘要
The structure of the semiclassical trace formula can be used to construct a quasi-classical evolution operator whose spectrum has a one-to-one correspondence with the semiclassical quantum spectrum. We illustrate this for marginally unstable integrable and non-integrable billiards and demonstrate its utility by quantizing them using arbitrary non-periodic trajectories.
关键词
引用
@article{arxiv.chao-dyn/9804013,
title = {Quantizing Billiards with Arbitrary Trajectories},
author = {Debabrata Biswas},
journal= {arXiv preprint arXiv:chao-dyn/9804013},
year = {2007}
}
备注
revtex, epsf, ps figures; to appear in the proceedings of the Int. Conf. on Nonlinear Dynamics and Computational Physics (Physical Research Laboratory, Ahmedabad, INDIA)