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where dr is a small volume element The values of y which are in accordance...

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where dr is a small volume element The values of y which are in accordance with the above conditions are taken as valid and are known as Eigen functions and the values of E corresponding to valid values of u are called Eigen values The eigen function for an electron is called an atomic orbital Note As the eigen values are very nearly similar to energy levels of different Bohr s orbits the occurrence of definite energy levels in an atom follows directly from the wave mechanical concepts Significance of y The wave function may be regarded as the amplitude function expressed in terms of coordinates x y and z The wave function may have positive or negative

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