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Vector Spaces with Inner Product
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Inner product; Orthogonality and Gram Schmidt Procedure; Cauchy Schwarz and Triangle Inequalities.
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Linear Operators in Inner Product SpacesLinear operators; Adjoint of a linear operator; Hermitian operator; Unitary operators.
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Complete Orthonormal SetsComplete orthonormal sets; Setting up a representation in o.n basis; Dirac Bra and Ket Notation.
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