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In this program

Hilbert spaces
Self-adjoint operators
Spectral theorem and functional calculus
Schrödinger and Heisenberg pictures
Path integrals (introduction)
Perturbation theory for quantum systems

Quantum mechanics (mathematical)

Schrödinger and Heisenberg pictures

Mathematical physics · Standard syllabus

Topic

Schrödinger and Heisenberg pictures

Practice by unit: Quantum mechanics (mathematical)

Graduate Mathematical Physics — scope drawn from open mathematical physics notes and typical US graduate mathematical physics syllabi.

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