Complex variables for separation of Hamilton-Jacobi equation on three-dimensional Minkowski space

2006/12/22 by Luca Degiovanni, Degiovanni, Luca, Giovanni Rastelli +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Quantum Electrodynamics and Casimir Effect #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0612051

8 pages

arxiv created 2006/12/22 · openalex publication_date 2006/12/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The real coordinates separating geodesic Hamilton-Jacobi equation on three-dimensional Minkowski space in several cases cannot be defined in the whole space. We show through an example how to naturally extend them to complex variables defined everywhere (excluding the singular surfaces of each coordinate system only) and still separating the same equation.

Cited by

• Complex variables for separation of the Hamilton-Jacobi equation on real pseudo-Riemannian manifolds

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