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DE LA DIFERENCIA ENTRE OPERADORES HERM ITICOS Y AUTOADJUNTOS ON THE DIFFERENCE BETWEEN HERMITIAN OPERATORS AND SELF-ADJOINT OPERATORS

Karen Fonseca

Published Jan 1, 2013• 0 citations
OpenAlex

Abstract

We explore the dierence between the notions of hermitian and self-adjoint operator, illustrating with examples its relevance for the correct description of quantum systems.

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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 some emphasis is given on the physical implications and applications.