Prerequisites:

Course Contents

Unbounded Operators, Matrix representation, Selfadjointness Criterion, Quadratic Forms, Differential Operators, Selfadjoint Extensions, Functional Calculus, Spectra of Selfadjoint 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, Selfadjointness, A Theorem of Kato, Spectral Theory for Schrodinger Operators, Discrete Spectrum, Essential Spectrum.

Topic