Question

Derive Schrodinger’s equation.​

Answer 1

Answer:

The total energy (E) of the particle can be written as T.E. = E = K.E. + P.E. is a Laplacian operator. Thus, the Time Dependent Schrödinger Equation, TDSE, can be derived from the wave mechanics considering the equations for a particle describing S.H.M.

Explanation:

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Answer 2

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Erwin Schrödinger, in 1926, proposed an equation called Schrödinger equation to describe the electron distributions in space and the allowed energy levels in atoms. This equation incorporates de Broglie’s concept of wave-particle duality and is consistent with Heisenbergun uncertainty principle. When Schrödinger equation is solved for the electron in a hydrogen atom, the solution gives the possible energy states the electron can occupy [and the corresponding wave function(s) (ψ) (which in fact are the mathematical functions) of the electron associated with each energy state].