Elements of Classical and Quantum Physics pp 255-270 | Cite as

# Stationary States of One Particle in 3 Dimensions

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## Abstract

The 3-dimensional plane wave is the product of one-dimensional plane waves and the kinetic energy is the sum of the contributions of motions along where \(U_{x}(x), U_{y}(y)\) e \(U_{z}(z)\) are arbitrary functions.

*x*,*y*,*z*. More generally, the problem is separable into Cartesian coordinates if the potential energy is of the form$$\begin{aligned} V(x,y, z)=U_{x}(x)+U_{y}(y)+U_{z}(z) \end{aligned}$$

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