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![schrodinger wave equation schrodinger wave equation](https://i.ytimg.com/vi/vxian0kTYyA/maxresdefault.jpg)
Imagine decomposing $f$ into a single plane wave modulated by an envelope function $\psi(x)$: $f(x) = \psi(x)\, e^ c_n' (iz)^n$. This equation describes the time development of the observable attributes of a particle via the wave function (or probability amplitude). Where deriving the equation, achrdinges assumed that nucleus is surrounded a vibrating electen ware which are produced by. As a student major in Physics, Quantum Mechanics is an important subject to learn. Take a general solution $f(x)$ to the wave equation $\partial^2 f = 0$ (we use Lorentz-covariant notation and the -+++ sign convention). Combining the solutions to the Azimuthal and Colatitude equations, produces a solution to the non-radial portion of the Schrodinger equation for the hydrogen atom: The constant C represents a normalization constant that is determined in the usual manner by integrating of the square of the wave function and setting the resulting value equal to one.
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#Schrodinger wave equation free
As Joe points out in his answer to a duplicate, the Schrodinger equation for a free particle is a variant on the slowly-varying envelope approximation of the wave equation, but I think his answer misses some subtleties.