English

Schr\"odinger equation of general potential

Quantum Physics 2015-05-14 v2

Abstract

It is well known that the Schr\"odinger equation is only suitable for the particle in common potential V(r,t)V(\vec{r},t). In this paper, a general Quantum Mechanics is proposed, where the Lagrangian is the general form. The new quantum wave equation can describe the particle which is in general potential V(r,r˙,t)V(\vec{r}, \dot{\vec{r}}, t). We think these new quantum wave equations can be applied in many fields.

Keywords

Cite

@article{arxiv.0909.3189,
  title  = {Schr\"odinger equation of general potential},
  author = {Xiang-Yao Wu and Xiao-Jing Liu and Yi-Heng Wu and Qing-Cai Wang and Yan Wang},
  journal= {arXiv preprint arXiv:0909.3189},
  year   = {2015}
}

Comments

10 pages, 0 figures, accepted for publication in International Journal of Modern Physics B. arXiv admin note: substantial text overlap with arXiv:0909.2995; and text overlap with arXiv:0711.3544 by other authors without attribution

R2 v1 2026-06-21T13:47:28.989Z