What Bohmian mechanic says about arrival times of 1D vacuum squeezed states
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909567980404736 |
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| author | Garcia-Chung, Angel Laguna, Humberto G. |
| author_facet | Garcia-Chung, Angel Laguna, Humberto G. |
| contents | We calculate the time of arrival probability distribution of a quantum particle using the Bohmian formalism. The pilot-wave is given by the wave function of the one dimensional vacuum squeezed state but written in the Schrödinger representation. We made use of the unitary representation of the symplectic group in the Hilbert space $L^2(\mathbb{R})$. The solution to the Bohmian equations are analytical function thus allowing for a closed expression of the time of arrival distribution which differs from the counterparts in the standard quantum mechanics formulation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_05734 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | What Bohmian mechanic says about arrival times of 1D vacuum squeezed states Garcia-Chung, Angel Laguna, Humberto G. Quantum Physics Optics We calculate the time of arrival probability distribution of a quantum particle using the Bohmian formalism. The pilot-wave is given by the wave function of the one dimensional vacuum squeezed state but written in the Schrödinger representation. We made use of the unitary representation of the symplectic group in the Hilbert space $L^2(\mathbb{R})$. The solution to the Bohmian equations are analytical function thus allowing for a closed expression of the time of arrival distribution which differs from the counterparts in the standard quantum mechanics formulation. |
| title | What Bohmian mechanic says about arrival times of 1D vacuum squeezed states |
| topic | Quantum Physics Optics |
| url | https://arxiv.org/abs/2502.05734 |