Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
30 (1989), S. 1871-1876
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
A simple generalization is presented of the usual Fourier transforms using generalized exponential and Fourier series developed previously for nonlinear systems. The expressions are given in terms of Jacobi elliptic functions in a form as close as possible to the Fourier transform. There is a pair of transforms for each value of the Jacobi parameter m. Simple applications are presented, one of which gives the generalized Yukawa potential and another that gives the generalized Breit–Wigner potential: Both correspond to the generalized Klein–Gordon equation.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.528274
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