Killing tensors and canonical geometry

2014/01/31 by M. Cariglia, M Cariglia, G W Gibbons +9 · 26 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Covariant transformation #Gauge (firearms) #Gauge covariant derivative #Gauge theory #Noncommutative and Quantum Gravity Theories #Quantum #Quantum and Classical Electrodynamics #Tensor (intrinsic definition) #hep-th #math-ph #math.MP

paper · pdf · doi:10.1088/0264-9381/31/12/125001

published in Classical and Quantum Gravity 31(12), 125001 (IOP Publishing) · 14 pages, no figures. v3: Introduction and Conclusion rewritten, new section on algebraic properties and more reference added. Accepted for publication in Classical and Quantum Gravity

arxiv created 2014/04/25 · openalex publication_date 2014/05/27 · arxiv updated 2015/06/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The systematic derivation of constants of the motion, based on Killing tensors and the gauge covariant approach, is outlined. Quantum dots are shown to support second-, third- and fourth-rank Killing tensors.

Citations

• Hidden symmetries of two-electron quantum dots in a magnetic field
• Higher rank Killing tensors and Calogero model
• SUSY in the sky
• Global Structure of the Kerr Family of Gravitational Fields

Cited by

• The Bohlin variant of the Eisenhart lift
• Killing-Yano Cotton Currents