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- Prolate_spheroidal_coordinates abstract "Prolate spheroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional elliptic coordinate system about the focal axis of the ellipse, i.e., the symmetry axis on which the foci are located. Rotation about the other axis produces oblate spheroidal coordinates. Prolate spheroidal coordinates can also be considered as a limiting case of ellipsoidal coordinates in which the two smallest principal axes are equal in length.Prolate spheroidal coordinates can be used to solve various partial differential equations in which the boundary conditions match its symmetry and shape, such as solving for a field produced by two centers, which are taken as the foci on the z-axis. One example is solving for the wavefunction of an electron moving in the electromagnetic field of two positively charged nuclei, as in the hydrogen molecular ion, H2+. Another example is solving for the electric field generated by two small electrode tips. Other limiting cases include areas generated by a line segment (μ=0) or a line with a missing segment (ν=0).".
- Prolate_spheroidal_coordinates thumbnail Prolate_spheroidal_coordinates.png?width=300.
- Prolate_spheroidal_coordinates wikiPageExternalLink ProlateSpheroidalCoordinates.html.
- Prolate_spheroidal_coordinates wikiPageID "5007518".
- Prolate_spheroidal_coordinates wikiPageRevisionID "591870774".
- Prolate_spheroidal_coordinates hasPhotoCollection Prolate_spheroidal_coordinates.
- Prolate_spheroidal_coordinates subject Category:Coordinate_systems.
- Prolate_spheroidal_coordinates type Abstraction100002137.
- Prolate_spheroidal_coordinates type Arrangement105726596.
- Prolate_spheroidal_coordinates type Cognition100023271.
- Prolate_spheroidal_coordinates type CoordinateSystem105728024.
- Prolate_spheroidal_coordinates type CoordinateSystems.
- Prolate_spheroidal_coordinates type PsychologicalFeature100023100.
- Prolate_spheroidal_coordinates type Structure105726345.
- Prolate_spheroidal_coordinates comment "Prolate spheroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional elliptic coordinate system about the focal axis of the ellipse, i.e., the symmetry axis on which the foci are located. Rotation about the other axis produces oblate spheroidal coordinates.".
- Prolate_spheroidal_coordinates label "Prolate spheroidal coordinates".
- Prolate_spheroidal_coordinates label "長球面坐標系".
- Prolate_spheroidal_coordinates sameAs m.0czkln.
- Prolate_spheroidal_coordinates sameAs Q7249552.
- Prolate_spheroidal_coordinates sameAs Q7249552.
- Prolate_spheroidal_coordinates sameAs Prolate_spheroidal_coordinates.
- Prolate_spheroidal_coordinates wasDerivedFrom Prolate_spheroidal_coordinates?oldid=591870774.
- Prolate_spheroidal_coordinates depiction Prolate_spheroidal_coordinates.png.
- Prolate_spheroidal_coordinates isPrimaryTopicOf Prolate_spheroidal_coordinates.
