The Negative Energy Sea
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913269154840576 |
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| author | Saunders, Simon |
| author_facet | Saunders, Simon |
| contents | The Dirac negative energy sea introduced the concept of antimatter, and explained it, not least in its relationship to negative-energy solutions to the wave equation. Post-war, it was largely displaced by what I shall call the 'standard formalism', dependent, among other things, on normal-ordering. A much better explanation is provided by the 'two complex structures' viewpoint, as first introduced by Irving Segal: the one ('natural') kind of complex numbers at the level of covariant, local fields; and the other ('particle') complex numbers at the level of the one-particle Hilbert space and Fock space. The former is local, the latter non-local: therein lies the fundamental difference between relativistic and non-relativistic quantum theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_11225 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Negative Energy Sea Saunders, Simon History and Philosophy of Physics Quantum Physics The Dirac negative energy sea introduced the concept of antimatter, and explained it, not least in its relationship to negative-energy solutions to the wave equation. Post-war, it was largely displaced by what I shall call the 'standard formalism', dependent, among other things, on normal-ordering. A much better explanation is provided by the 'two complex structures' viewpoint, as first introduced by Irving Segal: the one ('natural') kind of complex numbers at the level of covariant, local fields; and the other ('particle') complex numbers at the level of the one-particle Hilbert space and Fock space. The former is local, the latter non-local: therein lies the fundamental difference between relativistic and non-relativistic quantum theory. |
| title | The Negative Energy Sea |
| topic | History and Philosophy of Physics Quantum Physics |
| url | https://arxiv.org/abs/2403.11225 |