The mathematical formulations of quantum mechanics use mainly a part of functional analysis, especially Hilbert spaces.
Sources
- Mathematical formulation of quantum mechanics (en.wikipedia.org)
- https://arxiv.org/abs/1911.06630 (arxiv.org)
- https://www.quantiki.org/wiki/hilbert-spaces (quantiki.org)
- https://arxiv.org/pdf/1906.04478 (arxiv.org)
- https://www.researchgate.net/publication/391878771_Understanding_Quantum_Mechanics_through_Hilbert_Spaces_Applications_in_Quantum_Computing (researchgate.net)
- https://onlinelibrary.wiley.com/doi/10.1002/prop.201500023 (onlinelibrary.wiley.com)
- https://www.mdpi.com/journal/mathematics/special_issues/Functional_Analysis_Quantum_Physics (mdpi.com)
- https://arxiv.org/pdf/2408.00236 (arxiv.org)
- https://graphsearch.epfl.ch/en/concept/3570657/concepts (graphsearch.epfl.ch)
- https://www.whitman.edu/Documents/Academics/Mathematics/klipfel.pdf (whitman.edu)
- https://www.mat.univie.ac.at/~gerald/ftp/book-schroe/schroe.pdf (mat.univie.ac.at)
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