Nonlinear, non-signaling Schrödinger equation
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916143487254528 |
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| author | Geszti, Tamás |
| author_facet | Geszti, Tamás |
| contents | A nonlinear extension of Schrödinger's wave equation is proposed that ensures non-signaling by keeping linear the evolution of \textit{coordinate-diagonal} elements of the density matrix. The equation contains a negative kinetic energy term that turns spreading of wave packets into its opposite: collapsing, as some effective mass $M$ grows beyond a universal critical mass, estimated to be about $μ= 2\cdot10^{-23}~$kg; then linear quantum kinetic energy gets negligible, which marks the quantum-classical border. Interference of large molecules is suggested for an experimental check of the proposed framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_08757 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonlinear, non-signaling Schrödinger equation Geszti, Tamás Quantum Physics A nonlinear extension of Schrödinger's wave equation is proposed that ensures non-signaling by keeping linear the evolution of \textit{coordinate-diagonal} elements of the density matrix. The equation contains a negative kinetic energy term that turns spreading of wave packets into its opposite: collapsing, as some effective mass $M$ grows beyond a universal critical mass, estimated to be about $μ= 2\cdot10^{-23}~$kg; then linear quantum kinetic energy gets negligible, which marks the quantum-classical border. Interference of large molecules is suggested for an experimental check of the proposed framework. |
| title | Nonlinear, non-signaling Schrödinger equation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2402.08757 |