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We first write the rigid rotor wavefunctions as the product of a theta-function depending only on \(\theta\) and a \(\phi\)-function depending only on \(\varphi\) Schrodinger equation is an essential quantity that characterises the de-Broglie wavelength with respect to the concept of wave function. Former because it's how nature works, it can't be derived, we can either try to model what we see or make an educated guess, which sometimes do work out. In his work he used the knowledge of electromagnetic prototype of wave equation 2 2 ) and. The concept of fundamental particles with. Schrdinger equation was first derived by Schrdinger in 1926. Only two variables \(\theta\) and \(\varphi\) are required in the rigid rotor model because the bond length, \(r\), is taken to be the constant \(r_0\). Answer (1 of 2): There is actually no derivation of Schrodinger equation, neither for Borne interpretation. The derivation of the time-independent Schrdinger equation is based on a new approach to basic physics. It should be noted that Schrdinger's wave equation was a result of the ingenious mathematical intuition of Erwin Schrdinger, and cannot be derived independently. To solve the Schrödinger equation for the rigid rotor, we will separate the variables and form single-variable equations that can be solved independently. Derivation Short heuristic derivation Schrdinger's equation can be derived in the following short heuristic way.