作者: Michele Cini
DOI: 10.1007/978-3-319-71330-4_17
关键词: Physics 、 Separable space 、 Plane wave 、 Stationary state 、 Kinetic energy 、 Mathematical physics 、 Product (mathematics) 、 Azimuthal quantum number 、 Cartesian coordinate system 、 Potential energy
摘要: The 3-dimensional plane wave is the product of one-dimensional waves and kinetic energy sum contributions motions along x, y, z. More generally, problem separable into Cartesian coordinates if potential form $$\begin{aligned} V(x,y, z)=U_{x}(x)+U_{y}(y)+U_{z}(z) \end{aligned}$$ where \(U_{x}(x), U_{y}(y)\) e \(U_{z}(z)\) are arbitrary functions.