Advertisement

Differential Operator

  • Raza Tahir-KheliEmail author
Chapter

Abstract

All differential equations make use of the differential operator D. A convenient notation for it is the following:
$$\begin{aligned} D^0= & {} 1~~;~~D^1~=~D = \frac{\mathrm{d}}{\mathrm{d}x}~~;\nonumber \\ D^{\nu }= & {} \frac{\mathrm{d}^{\nu }}{\mathrm{d}x^{\nu }}~~,~~\nu =2,3,4,\ldots \end{aligned}$$
The operator D follows some, but not all, laws of algebra.

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Department of PhysicsTemple UniversityPhiladelphiaUSA

Personalised recommendations