Abstract

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

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