explain energy eigen value and eigen function for the hydrogen atom using Schrodinger wave equation
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The wavefunction for a given physical system contains the measurable information about the system. Solutions exist for the time independent Schrodinger equation only for certain values of energy, and these values are called "eigenvalues*" of energy. .
To fill the Schrödinger equation, ˆHψ=Eψ, with a bit of life, we need to add the specifics for the system of interest, here the hydrogen-like atom. ... Thus, the hydrogen atom's Hamiltonian is ˆH=−ℏ22μ∇2−Ze24πϵ0r.
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