Stationary States of One Particle in 3 Dimensions

  • Michele Cini
Part of the UNITEXT for Physics book series (UNITEXTPH)


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

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Università di Roma Tor VergataRomeItaly

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