dorsal/arxiv
View SchemaSelf-adjoint extensions of operators and the teaching of quantum mechanics
| Authors | Guy Bonneau, Jacques Faraut, Galliano Valent |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0103153 |
| URL | https://arxiv.org/abs/quant-ph/0103153 |
| DOI | 10.1119/1.1328351 |
| Journal | Am.J.Phys. 69 (2001) 322 |
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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"abstract": "For the example of the infinitely deep well potential, we point out some\nparadoxes which are solved by a careful analysis of what is a truly\nself-adjoint operator. We then describe the self-adjoint extensions and their\nspectra for the momentum and the Hamiltonian operators in different physical\nsituations. Some consequences are worked out, which could lead to experimental\nchecks.",
"arxiv_id": "quant-ph/0103153",
"authors": [
"Guy Bonneau",
"Jacques Faraut",
"Galliano Valent"
],
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"doi": "10.1119/1.1328351",
"journal_ref": "Am.J.Phys. 69 (2001) 322",
"title": "Self-adjoint extensions of operators and the teaching of quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/0103153"
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