Observables in Quantum Mechanics and the Importance of Self-adjointness

Tajron Jurić

doi:10.3390/universe8020129

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arXiv · 2103.01080

Observables in Quantum Mechanics and the Importance of Self-adjointness

Tajron Jurić

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Abstract

We are focused on the idea that observables in quantum physics are a bit more than 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 some emphasis is given on the physical implications and applications.

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Tajron Jurić. 2021-03-01. Observables in Quantum Mechanics and the Importance of Self-adjointness. https://doi.org/10.3390/universe8020129

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