How are spherical polar coordinates related to the rectangular cartesian coordinates? Illustrate giving suitable relations. Also write the Schrodinger equation for hydrogen atom in spherical polar coordinates
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Explanation:
Spherical coordinates represent the position in a sphere whereas the rectangular Cartesian coordinates are defined 2D position of an object in a 2D plane.
They two are related in a way that the spherical axis forms a right angle similar to rectangular coordinates formed through the perpendicular axis
Schrodinger's equation in spherical polar coordinates is written as the product of a radial portion and an angular portion
H(r,θ,φ)ψ(r,θ,φ)=Eψ(r,θ,φ)
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Explanation:
Answer:
To convert from Polar Coordinates (r,θ) to Cartesian Coordinates (x,y) :
x = r × cos( θ )
y = r × sin( θ )
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