通过保留Noether对称性对双锥面上粒子动力学进行量子化
数学物理
2017-03-01 v1 math.MP
量子物理
摘要
自由粒子和谐振子在双锥面上运动的经典量子化通过一种量子化方案[M.C. Nucci, Theor. Math. Phys. 168 (2011) 994]实现，该方案保留底层拉格朗日量的Noether点对称性以构建薛定谔方程。所得结果与[K. Kowalski, J. Rembielński, Ann. Phys. 329 (2013) 146]中给出的结果不同。本文对不同结果进行了比较。
引用
@article{arxiv.1607.00543,
title = {Quantization of the dynamics of a particle on a double cone by preserving Noether symmetries},
author = {G. Gubbiotti and M. C. Nucci},
journal= {arXiv preprint arXiv:1607.00543},
year = {2017}
}
备注
14 pages. arXiv admin note: text overlap with arXiv:1406.0192 in the Introduction since the authors' method of quantization is described again