The measurement in classical and quantum theory
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866909103639494656 |
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| author | Kryukov, Alexey A. |
| author_facet | Kryukov, Alexey A. |
| contents | The Bohigas-Giannoni-Schmit (BGS) conjecture states that the Hamiltonian of a microscopic analogue of a classical chaotic system can be modeled by a random matrix from a Gaussian ensemble. Here, this conjecture is considered in the context of a recently discovered geometric relationship between classical and quantum mechanics. Motivated by BGS, we conjecture that the Hamiltonian of a system whose classical counterpart performs a random walk can be modeled by a family of independent random matrices from the Gaussian unitary ensemble. By accepting this conjecture, we find a relationship between the process of observation in classical and quantum physics, derive irreversibility of observation and describe the boundary between the micro and macro worlds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_10344 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The measurement in classical and quantum theory Kryukov, Alexey A. Quantum Physics The Bohigas-Giannoni-Schmit (BGS) conjecture states that the Hamiltonian of a microscopic analogue of a classical chaotic system can be modeled by a random matrix from a Gaussian ensemble. Here, this conjecture is considered in the context of a recently discovered geometric relationship between classical and quantum mechanics. Motivated by BGS, we conjecture that the Hamiltonian of a system whose classical counterpart performs a random walk can be modeled by a family of independent random matrices from the Gaussian unitary ensemble. By accepting this conjecture, we find a relationship between the process of observation in classical and quantum physics, derive irreversibility of observation and describe the boundary between the micro and macro worlds. |
| title | The measurement in classical and quantum theory |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2201.10344 |