Article ; Online: A Covariant Non-Local Model of Bohm’s Quantum Potential
Entropy, Vol 25, Iss 915, p
2023 Volume 915
Abstract: Assuming that the energy of a gas depends non-locally on the logarithm of its mass density, the body force in the resulting equation of motion consists of the sum of density gradient terms. Truncating this series after the second term, Bohm’s quantum ... ...
Abstract | Assuming that the energy of a gas depends non-locally on the logarithm of its mass density, the body force in the resulting equation of motion consists of the sum of density gradient terms. Truncating this series after the second term, Bohm’s quantum potential and the Madelung equation are obtained, showing explicitly that some of the hypotheses that led to the formulation of quantum mechanics do admit a classical interpretation based on non-locality. Here, we generalize this approach imposing a finite speed of propagation of any perturbation, thus determining a covariant formulation of the Madelung equation. |
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Keywords | non-local quantum mechanics ; Bohm quantum potential ; Madelung equation ; Science ; Q ; Astrophysics ; QB460-466 ; Physics ; QC1-999 |
Language | English |
Publishing date | 2023-06-01T00:00:00Z |
Publisher | MDPI AG |
Document type | Article ; Online |
Database | BASE - Bielefeld Academic Search Engine (life sciences selection) |
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