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arXiv · quant-ph/0103153

Self-adjoint extensions of operators and the teaching of quantum mechanics

Guy Bonneau·Jacques Faraut·Galliano Valent
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Abstract

For the example of the infinitely deep well potential, we point out some paradoxes which are solved by a careful analysis of what is a truly self-adjoint operator. We then describe the self-adjoint extensions and their spectra for the momentum and the Hamiltonian operators in different physical situations. Some consequences are worked out, which could lead to experimental checks.

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Guy Bonneau, Jacques Faraut, Galliano Valent. 2001-03-28. Self-adjoint extensions of operators and the teaching of quantum mechanics. https://doi.org/10.1119/1.1328351

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