Two methods of generalisation of the Laplace-Runge-Lenz vector

1987/10/01 by Takeshi Yoshida · 2 citations
Physics and Astronomy · Engineering · Mathematics · #Advanced Thermodynamics and Statistical Mechanics #Elasticity and Wave Propagation #Statistical Mechanics and Entropy #Physics #Laplace transform #Point (geometry) #Applied mathematics #Mathematical physics #Mathematical analysis #Mathematics #Geometry

paper · doi:10.1088/0143-0807/8/4/005

openalex publication_date 1987/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

The Laplace-Runge-Lenz vector was extended to the case of arbitrary central-potential problems by Fradkin (1967) and, independently, by Peres (1979). The two methods of generalisation are investigated from a synthetic point of view, and shown to be identical to each other.

Citations

• Über das Wasserstoffspektrum vom Standpunkt der neuen Quantenmechanik
• More on the prehistory of the Laplace or Runge–Lenz vector
• �ber den Bewegungsverlauf und die Quantenzust�nde der gest�rten Keplerbewegung

Cited by

• Fradkin-Bacry-Ruegg-Souriau vector in kappa-deformed space-time
• Laplace–Runge–Lenz vector [wikipedia]