Quantumness beyond quantum mechanics

Bohmian mechanics allows us to understand quantum systems in the light of other quantum traits than the well-known ones (coherence, diffraction, interference, tunneling, discreteness, entanglement, etc.). Here the discussion focusses precisely on two of these interesting aspects, which arise when quantum mechanics is though within this theoretical framework: the non-crossing property, which allows for distinguishability without erasing interference patterns, and the possibility to define quantum probability tubes, along which the probability remains constant all the way. Furthermore, taking into account this hydrodynamic-like description as a link, it is also shown how this knowledge (concepts and ideas) can be straightforwardly transferred to other fields of physics (for example, the transmission of light along waveguides).

💡 Research Summary

The paper presents a hydrodynamic interpretation of quantum mechanics based on Bohmian mechanics and uses it to highlight two less‑explored quantum features: the non‑crossing property of Bohmian trajectories and the concept of quantum probability tubes. In the Bohmian framework the wavefunction ψ(r,t) is written as R(r,t) exp