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राघव वर्मा Hermitian Operators To every Hermitian operator , there exists (ATLEAST) one basis consisting of orthogonal eigenvectors, It is diagonal in.

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Presentation on theme: "राघव वर्मा Hermitian Operators To every Hermitian operator , there exists (ATLEAST) one basis consisting of orthogonal eigenvectors, It is diagonal in."— Presentation transcript:

1 राघव वर्मा Hermitian Operators To every Hermitian operator , there exists (ATLEAST) one basis consisting of orthogonal eigenvectors, It is diagonal in this eigen basis & has eigen values as its diagonal entries. Before we prove that lets prove another theorem If  |V  = 0 implies |V  = 0 then  -1 exists

2 राघव वर्मा Hermitian Operators (Contd…)

3 राघव वर्मा Did not know how to make a box submatrix. Here it is the submatrix  22 ….  2n   n2 ….  nn Now the theorem      

4 राघव वर्मा The diagonalisation of a Hermitian matrix (contd..)

5 राघव वर्मा In Absence of Degeneracy

6 राघव वर्मा An example


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