In quantum mechanics, physical observable values are more precisely described as spectral values of linear operators in Hilbert space.
Notes on verification
Multiple peer-reviewed academic sources and arXiv preprints from reputable institutions confirm this fundamental principle of quantum mechanics. The spectral theorem and Hilbert space formulation are well-established in the field since the 1920s-1930s.
Sources
- Mathematical formulation of quantum mechanics (en.wikipedia.org)
- https://arxiv.org/pdf/2408.00236 (arxiv.org)
- https://arxiv.org/pdf/1508.06951 (arxiv.org)
- https://arxiv.org/pdf/2210.13973 (arxiv.org)
- https://arxiv.org/pdf/1408.1164 (arxiv.org)
- https://www.math.ru.nl/~landsman/HSQM.pdf (math.ru.nl)
- https://www.damtp.cam.ac.uk/user/tong/qm/qmhtml/S3.html (damtp.cam.ac.uk)
- https://arxiv.org/pdf/2301.05436 (arxiv.org)
- https://www.derivativecalculus.com/spectral-theory.html (derivativecalculus.com)