Spectral Theory For Self-Adjoint Operators




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Course Contents

Unbounded Operators, Matrix representation, Self ad joint ness Criterion, Quadratic Forms, Differential Operators, Self ad joint 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 ad joint ness, A Theorem of Kato, Spectral Theory for Schrodinger Operators, Discrete Spectrum, Essential Spectrum. 



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