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while solving schrodinger wave equation why it is convinient to use spherical coordinates
The solution of the Schrodinger equation for the hydrogen atom is a mathematical problem, but is of fundamental importance and it is managed by separating the variables so that the wave function is represented by the product: The separation of variables leads to three equations for the three spatial variables, and their solutions give rise to three quantum numbers associated with the hydrogen energy levels. The electron in the hydrogen atom sees a spherically symmetric potential, so it is logical to use spherical polar coordinates to develop the Schrodinger equation.Thus when Schrodeinger equation is expressed in spherical coordinates ,the equation can be separated in different independant equations and solution of every independant equation give rise to different quantum numbers.Thanks & RegardsAarti Gupta askiitians Faculty
The solution of the Schrodinger equation for the hydrogen atom is a mathematical problem, but is of fundamental importance and it is managed by separating the variables so that the wave function is represented by the product:
The separation of variables leads to three equations for the three spatial variables, and their solutions give rise to three quantum numbers associated with the hydrogen energy levels.
The electron in the hydrogen atom sees a spherically symmetric potential, so it is logical to use spherical polar coordinates to develop the Schrodinger equation.Thus when Schrodeinger equation is expressed in spherical coordinates ,the equation can be separated in different independant equations and solution of every independant equation give rise to different quantum numbers.
Thanks & Regards
Aarti Gupta
Due to the spherical symmetry of the potential, this equation is best solved in spherical polar coordinates.Thanks & RegardsRinkoo GuptaAskIITians Faculty
Due to the spherical symmetry of the potential, this equation is best solved in spherical polar coordinates.
Rinkoo Gupta
AskIITians Faculty
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