### Abstract

This paper discusses the solutions to the perturbed wave equation containing a singular potential term in the Lorentzian metric. We present the classical solution to the problem using the separation of variables method for any dimension, n. Special solutions are obtained for even n's and properties of these solutions are discussed. Finally, we also consider the solution to the Cauchy problem for the case n = 2.

Original language | English |
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Pages (from-to) | 165-175 |

Number of pages | 11 |

Journal | Acta Mathematica Universitatis Comenianae |

Volume | 72 |

Issue number | 2 |

State | Published - 1 Dec 2003 |

### Keywords

- Cauchy Problem
- Perturbed Wave Equation
- Singular Potential

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## Cite this

Vaidya, A., & Sparling, G. A. J. (2003). Classical solutions of the perturbed wave equation with singular potential.

*Acta Mathematica Universitatis Comenianae*,*72*(2), 165-175.