Schrödinger equation of general potential

Abstract

It is well known that the Schrödinger equation is only suitable for the particle in common potential $V(\vec{r},t)$. 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 $V(\vec{r},\dot{\vec{r}},t)$. We think these new quantum wave equations can be applied in many fields.

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