正如 Morse 和 Feshbach (1953) 以及 Arfken (1970) 所证明的那样，亥姆霍兹微分方程在扁球面坐标中是可分离的。
亥姆霍兹微分方程--扁球面坐标
另请参阅
亥姆霍兹微分方程, 扁球面坐标使用 探索
参考文献
Arfken, G. "扁球面坐标
." §2.11 in Mathematical Methods for Physicists, 2nd ed. Orlando, FL: Academic Press, pp. 107-109, 1970.Byerly, W. E. An Elementary Treatise on Fourier's Series, and Spherical, Cylindrical, and Ellipsoidal Harmonics, with Applications to Problems in Mathematical Physics. New York: Dover, pp. 242 and 245-247, 1959.Moon, P. and Spencer, D. E. Field Theory Handbook, Including Coordinate Systems, Differential Equations, and Their Solutions, 2nd ed. New York: Springer-Verlag, pp. 33-34, 1988.Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York: McGraw-Hill, p. 662, 1953.
引用为
魏斯坦, 埃里克·W. "亥姆霍兹微分方程--扁球面坐标." 来自 网络资源. https://mathworld.net.cn/HelmholtzDifferentialEquationOblateSpheroidalCoordinates.html