QM-Lecture Notes-03 Inner Product Spaces

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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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