Observables in Quantum Mechanics and the Importance of Self-adjointness
- URL: http://arxiv.org/abs/2103.01080v3
- Date: Fri, 18 Feb 2022 08:18:32 GMT
- Title: Observables in Quantum Mechanics and the Importance of Self-adjointness
- Authors: Tajron Juri\'c
- Abstract summary: We are focused on the idea that observables in quantum physics are a bit more than just hermitian operators.
The origin of this idea comes from the fact that there is a subtle difference between symmetric, hermitian, and self-adjoint operators.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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