A system of Curvilinear Coordinates. There are several different conventions for the orientation and designation of
these coordinates. Arfken (1970) defines coordinates
such that
(1) | |||
(2) | |||
(3) |
(4) | |||
(5) | |||
(6) |
(7) | |||
(8) | |||
(9) |
(10) |
See also Confocal Paraboloidal Coordinates, Helmholtz Differential Equation--Parabolic Cylindrical Coordinates, Parabolic Coordinates
References
Arfken, G. ``Parabolic Cylinder Coordinates (, , ).'' §2.8 in
Mathematical Methods for Physicists, 2nd ed. Orlando, FL: Academic Press, p. 97, 1970.
Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York:
McGraw-Hill, p. 658, 1953.
© 1996-9 Eric W. Weisstein