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\(\S 3.1\) Vector Space with Inner Product

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Submitted by kapoor on Sat, 04/28/2018 - 10:34

 

  1. Vector Spaces with Inner ProductInner product; Orthogonality and Gram Schmidt Procedure; Cauchy Schwarz and Triangle Inequalities.

  2. Linear Operators in Inner Product SpacesLinear operators; Adjoint of a linear operator; Hermitian operator; Unitary operators.

  3. Complete Orthonormal SetsComplete orthonormal sets; Setting up a representation in o.n basis; Dirac Bra and Ket Notation.

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