Bohmian arrival time without trajectories
| Autor: | Hans G. Embacher, Sabine Kreidl, Gebhard Gruebl |
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| Rok vydání: | 2003 |
| Předmět: |
Physics
De Broglie–Bohm theory Quantum Physics Inertial frame of reference Spacetime Computation Probability current Detector General Physics and Astronomy Boundary (topology) FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) Statistical physics Quantum Physics (quant-ph) Mathematical Physics Sign (mathematics) |
| DOI: | 10.48550/arxiv.quant-ph/0305163 |
| Popis: | The computation of detection probabilities and arrival time distributions within Bohmian mechanics in general needs the explicit knowledge of a relevant sample of trajectories. Here it is shown how for one-dimensional systems and rigid inertial detectors these quantities can be computed without calculating any trajectories. An expression in terms of the wave function and its spatial derivative, both restricted to the boundary of the detector's spacetime volume, is derived for the general case, where the probability current at the detector's boundary may vary its sign. Comment: 20 pages, 12 figures; v2: reference added, extended introduction, published version |
| Databáze: | OpenAIRE |
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