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InterviewSolution
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1.(a) Derive Schrodinger wave equation.(b) What are normalized and orthogonal wave functions?(c) What are radial and angular wave function? |
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Answer» Anormalized wavefuntion means that the probability that the particle is found in the considered domain is equal to 1 and thus the integral of the square of thewave functionin the domain is equal to 1 (remind that thewave functionis afunctionof complex variable) as previously written by Matùs Dubecký.… These eigenfunctionscorresponding to different eigen values areorthogonal( perpendicular ) to each other. When they are normalized they behave as unit vectors in infinite dimensional linear vector space. A givenwave functionwill have different representations in different basis set. An orbital is a mathematicalfunctioncalled awave functionthat describes an electron in an atom. ...Radial wave functionsfor a given atom depend only upon the distance, r from the nucleus.Angular wave functionsdepend only upon direction, and, in effect, describe the shape of an orbital. |
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