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

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<<QM X-Roads-03>>

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

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

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

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