Question

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

Answer 1

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)

Answer 2

Explanation:

Answer:

To convert from Polar Coordinates (r,θ) to Cartesian Coordinates (x,y) :

x = r × cos( θ )

y = r × sin( θ )