![]() Assuming the usual relationship \( p=h/\lambda \), the wavelength will vary as the particle moves around the orbit, being shortest where the particle moves fastest, at its closest approach to the nucleus. Accordingly, there exists a momentum uncertainty which a classical particle. The Schrodinger wave equation is a mathematical expression describing the energy and position of the electron in space and time, taking into account the matter wave nature of the electron inside an atom. Blumenson, A derivation of n-dimensional spherical coordinates, Am. What Sommerfeld did was to consider a general Kepler ellipse orbit, and visualize the wave going around such an orbit. and insert it into the time dependent Schrdinger equation, Eq. In contrast, the Schrdinger equation in momentum space is an integral equation. ![]()
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