Abstract
We describe canonical transformation, which links the Hamiltonian of a massive relativistic particle moving near the horizon of an extremal black hole to the conventional form of the conformal mechanics. Thus, like the non-relativistic conformal mechanics, the investigation of the particle dynamics reduces to analyzing its “spherical sector” defined by the Casimir element of the conformal algebra. We present a detailed list of such systems originating from various types of black hole configurations.
| Original language | English |
|---|---|
| Pages (from-to) | 890-893 |
| Number of pages | 4 |
| Journal | Physics of Particles and Nuclei Letters |
| Volume | 11 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 1 Jan 2014 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Atomic and Molecular Physics, and Optics
- Radiation
- Radiology Nuclear Medicine and imaging
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Spherical mechanics for a particle near the horizon of extremal black hole. / Galajinsky, A.; Nersessian, Armen Petrosovich; Saghatelian, A.
In: Physics of Particles and Nuclei Letters, Vol. 11, No. 7, 01.01.2014, p. 890-893.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Spherical mechanics for a particle near the horizon of extremal black hole
AU - Galajinsky, A.
AU - Nersessian, Armen Petrosovich
AU - Saghatelian, A.
PY - 2014/1/1
Y1 - 2014/1/1
N2 - We describe canonical transformation, which links the Hamiltonian of a massive relativistic particle moving near the horizon of an extremal black hole to the conventional form of the conformal mechanics. Thus, like the non-relativistic conformal mechanics, the investigation of the particle dynamics reduces to analyzing its “spherical sector” defined by the Casimir element of the conformal algebra. We present a detailed list of such systems originating from various types of black hole configurations.
AB - We describe canonical transformation, which links the Hamiltonian of a massive relativistic particle moving near the horizon of an extremal black hole to the conventional form of the conformal mechanics. Thus, like the non-relativistic conformal mechanics, the investigation of the particle dynamics reduces to analyzing its “spherical sector” defined by the Casimir element of the conformal algebra. We present a detailed list of such systems originating from various types of black hole configurations.
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UR - http://www.scopus.com/inward/citedby.url?scp=84920413771&partnerID=8YFLogxK
U2 - 10.1134/S154747711407019X
DO - 10.1134/S154747711407019X
M3 - Article
VL - 11
SP - 890
EP - 893
JO - Physics of Particles and Nuclei Letters
JF - Physics of Particles and Nuclei Letters
SN - 1547-4771
IS - 7
ER -