Prerequisites:

Course Contents

Unbounded Operators, Matrix representation, Self adjointness Criterion, Quadratic Forms, Differential Operators, Self adjoint Extensions, Functional Calculus, Spectra of Self ad joint Operators, Semi analytic vectors, Theorems of Nelson and Nussbaum, States and Observables, Super selection Rules, Position and Momentum, An Uncertainty Principle of Bargmann, Canonical Commutation Relations, Schrodinger representations, Schrodinger Operators, Self adjointness, A Theorem of Kato, Spectral Theory for Schrodinger Operators, Discrete Spectrum, Essential Spectrum.

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