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MATH-4240 (3) Hilbert Spaces and the Mathematics of Quantum Mechanics
Provides an introduction to Hilbert spaces and their application in quantum mechanics. The primary goal is to prove and understand the so-called spectral theorem, which is crucial for the formulation of quantum mechanics. In addition, some examples from physics will be discussed, such as the quantum harmonic oscillator and the spectrum of the hydrogen atom. Same as MATH 5240. Requisites: Requires prerequisite courses of MATH 3001 and MATH 3130 or MATH 3135 (all minimum grade C-).