Mechanical analogy for the wave-particle: helix on a vortex filament
The small amplitude-to-thread ratio helical configuration of a vortex filament in the ideal fluid behaves exactly as de Broglie wave. The complex-valued algebra of quantum mechanics finds a simple mechanical interpretation in terms of differential geometry of the space curve. The wave function takes...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X02110199 |
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| _version_ | 1832549882102022144 |
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| author | Valery P. Dmitriyev |
| author_facet | Valery P. Dmitriyev |
| author_sort | Valery P. Dmitriyev |
| collection | DOAJ |
| description | The small amplitude-to-thread ratio helical configuration of a
vortex filament in the ideal fluid behaves exactly as de Broglie
wave. The complex-valued algebra of quantum mechanics finds a
simple mechanical interpretation in terms of differential
geometry of the space curve. The wave function takes the meaning
of the velocity, with which the helix rotates about the screw
axis. The helices differ in type of the screw—right- or
left-handed. Two kinds of the helical waves deflect in the
inhomogeneous fluid vorticity field in the same way as spin
particles in the Stern-Gerlach experiment. |
| format | Article |
| id | doaj-art-bccd8f2129034211bf8bf9df89c498d0 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-bccd8f2129034211bf8bf9df89c498d02025-02-03T06:08:19ZengWileyJournal of Applied Mathematics1110-757X1687-00422002-01-012524126310.1155/S1110757X02110199Mechanical analogy for the wave-particle: helix on a vortex filamentValery P. Dmitriyev0Lomonosov University, P.O. Box 160, Moscow 117574, RussiaThe small amplitude-to-thread ratio helical configuration of a vortex filament in the ideal fluid behaves exactly as de Broglie wave. The complex-valued algebra of quantum mechanics finds a simple mechanical interpretation in terms of differential geometry of the space curve. The wave function takes the meaning of the velocity, with which the helix rotates about the screw axis. The helices differ in type of the screw—right- or left-handed. Two kinds of the helical waves deflect in the inhomogeneous fluid vorticity field in the same way as spin particles in the Stern-Gerlach experiment.http://dx.doi.org/10.1155/S1110757X02110199 |
| spellingShingle | Valery P. Dmitriyev Mechanical analogy for the wave-particle: helix on a vortex filament Journal of Applied Mathematics |
| title | Mechanical analogy for the wave-particle: helix on a vortex filament |
| title_full | Mechanical analogy for the wave-particle: helix on a vortex filament |
| title_fullStr | Mechanical analogy for the wave-particle: helix on a vortex filament |
| title_full_unstemmed | Mechanical analogy for the wave-particle: helix on a vortex filament |
| title_short | Mechanical analogy for the wave-particle: helix on a vortex filament |
| title_sort | mechanical analogy for the wave particle helix on a vortex filament |
| url | http://dx.doi.org/10.1155/S1110757X02110199 |
| work_keys_str_mv | AT valerypdmitriyev mechanicalanalogyforthewaveparticlehelixonavortexfilament |