Stationary States of One Particle in 3 Dimensions

作者: Michele Cini

DOI: 10.1007/978-3-319-71330-4_17

关键词: PhysicsSeparable spacePlane waveStationary stateKinetic energyMathematical physicsProduct (mathematics)Azimuthal quantum numberCartesian coordinate systemPotential 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.

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