Rendering the Navier–Stokes Equations for a Compressible Fluid into the Schrödinger Equation for Quantum Mechanics
The mass and momentum transfer phenomena in a compressible fluid represented by the Navier–Stokes equations are shown to convert into the Schrödinger equation for quantum mechanics. The complete Navier–Stokes equations render into an extended generalized version of Schrödinger equation. These result...
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| Veröffentlicht in: | Fluids (Basel) 2016-06, Vol.1 (2), p.18 |
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| creator | Vadasz, Peter |
| description | The mass and momentum transfer phenomena in a compressible fluid represented by the Navier–Stokes equations are shown to convert into the Schrödinger equation for quantum mechanics. The complete Navier–Stokes equations render into an extended generalized version of Schrödinger equation. These results complement the Madelung’s (Zeitschrift für Physik 40 (3–4), pp. 322–326, 1926–1927) derivations that show how Schrödinger’s equation in quantum mechanics can be converted into the Euler equations for irrotational compressible flow. The theoretical results presented here join the classical Madelung paper to suggest the possibility that quantum effects at sub-atomic levels deal with a compressible fluid susceptible to wave propagation, rather than a particle. The link between such a fluid and the “quantum particle” is under current investigation. |
| doi_str_mv | 10.3390/fluids1020018 |
| format | Article |
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| source | DOAJ Directory of Open Access Journals; MDPI - Multidisciplinary Digital Publishing Institute; EZB-FREE-00999 freely available EZB journals |
| subjects | Compressible flow Compressible fluids Einstein, Albert (1879-1955) Euler-Lagrange equation Fluid dynamics Fluid flow Fluids Investigations Mathematical analysis Momentum transfer Navier-Stokes equations Partial differential equations Quantum mechanics Quantum physics Quantum theory Schrodinger equation Wave propagation |
| title | Rendering the Navier–Stokes Equations for a Compressible Fluid into the Schrödinger Equation for Quantum Mechanics |
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