https://www.chenk.top/en/tags/quantum-mechanics/Recent content in Quantum-Mechanics on Chen Kai BlogHugoenSat, 23 Oct 2021 09:00:00 +0000https://www.chenk.top/en/functional-analysis/12-applications-pde-qm/Sat, 23 Oct 2021 09:00:00 +0000https://www.chenk.top/en/functional-analysis/12-applications-pde-qm/<p>Eleven articles is a long time to spend on infrastructure. Normed spaces, Banach and Hilbert structure, dual spaces, weak topologies, bounded and unbounded operators, the spectral theorem, semigroups, distributions, Sobolev spaces — every one of those chapters paid for itself with a clean abstract result, but a reader could be forgiven for wondering when the abstraction was going to do anything. This final article is where I make good on the implicit promise of the series: every theorem we built was built because some concrete problem demanded it, and pulling those threads together gives us the modern toolkit for partial differential equations and quantum mechanics.</p>