Interpretation of wave function by coherent ensembles of trajectories
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912343618748416 |
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| author | Kisil, Vladimir V. |
| author_facet | Kisil, Vladimir V. |
| contents | We re-use some original ideas of de~Broglie, Schrödiger, Dirac and Feynman to revise the ensemble interpretation of wave function in quantum mechanics. To this end we introduce coherence (auto-concordance) of ensembles of quantum trajectories in the space-time. The coherence condition accounts phases proportional to classical action, which are in foundation of the Feynman path integral technique. Therefore, our interpretation is entirely based on well-known and tested concepts and methods of wave mechanics. Similarly to other ensemble interpretations our approach allows us to avoid all problems and paradoxes related to wave function collapse during a measurement process. Another consequence is that no quantum computation or quantum cryptography method will ever work if it assumes that a particular q-bit represents the entire wave function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09277 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Interpretation of wave function by coherent ensembles of trajectories Kisil, Vladimir V. Quantum Physics 81P05 We re-use some original ideas of de~Broglie, Schrödiger, Dirac and Feynman to revise the ensemble interpretation of wave function in quantum mechanics. To this end we introduce coherence (auto-concordance) of ensembles of quantum trajectories in the space-time. The coherence condition accounts phases proportional to classical action, which are in foundation of the Feynman path integral technique. Therefore, our interpretation is entirely based on well-known and tested concepts and methods of wave mechanics. Similarly to other ensemble interpretations our approach allows us to avoid all problems and paradoxes related to wave function collapse during a measurement process. Another consequence is that no quantum computation or quantum cryptography method will ever work if it assumes that a particular q-bit represents the entire wave function. |
| title | Interpretation of wave function by coherent ensembles of trajectories |
| topic | Quantum Physics 81P05 |
| url | https://arxiv.org/abs/2407.09277 |