Question

State and explain eigen function and eigen value physical chemistry

Answer 1

Computations of eigenfunctions such like the eigenbasis of angular momentum tells you that something is intrinsic and a ground state of it is sufficient to form a normalizing eigen function. If you take an eigenstate, a ladder of hermitian operators, compute them in a spherical well, you get the eigenstates of the operators such that they obey the bounded wave function acting on the potential well. The eigenfunctions represent the wave function given by a time independence schrodinger equation to solve a differential, whether it be a perturbation or etc. To derive an eigenvalue is to seek the parameters of the system such as I proposed angular momentum spin of a ground state such as a free particle in 3D space and so on. Hope it helped.
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