Focus on Hilbert Spaces , linear operators, and Spectral Theory . Use Dirac notation ( ) to represent states and measurements.

Designing a course on Quantum Mechanics for mathematics students involves bridging the gap between rigorous mathematical frameworks and physical principles. For mathematicians, the most natural entry point is through and Functional Analysis , treating quantum states as vectors in a Hilbert space and physical quantities as self-adjoint operators. Recommended Core Content

Explored through Tensor Product Spaces and Bell inequalities.