A system of Curvilinear Coordinates in which two sets of coordinate surfaces are obtained by revolving the parabolas of Parabolic Cylindrical Coordinates about the x-Axis, which is then relabeled the z-Axis. There are several notational conventions. Whereas is used in this work, Arfken (1970) uses .
The equations for the parabolic coordinates are
See also Confocal Paraboloidal Coordinates, Helmholtz Differential Equation--Parabolic Coordinates, Parabolic Cylindrical Coordinates
Arfken, G. ``Parabolic Coordinates (, , ).'' §2.12 in
Mathematical Methods for Physicists, 2nd ed. Orlando, FL: Academic Press, pp. 109-112, 1970.
Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York:
McGraw-Hill, p. 660, 1953.
Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York: McGraw-Hill, p. 660, 1953.
© 1996-9 Eric W. Weisstein