Tajron Jurić
Published 2021-03-01Version 1
We are focused on the idea that observables in quantum physics are a bit more then just hermitian operators and that this is, in general, a "tricky business". The origin of this idea comes from the fact that there is a subtle difference between symmetric, hermitian, and self-adjoint operators which are of immense importance in formulating Quantum Mechanics. The theory of self-adjoint extensions is presented through several physical examples and a great emphasis is given on the physical implications and applications.
Comments: 26 pages, comments are welcomed. arXiv admin note: text overlap with arXiv:1306.5570 by other authors
Finite-level systems, Hermitian operators, isometries, and a novel parameterization of Stiefel and Grassmann manifolds
Comonotonicity and Choquet integrals of Hermitian operators and their applications
Interpretation of Uncertainty Relations for Three or More Observables
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