Runge - Lenz Vector in Taub -nut Spinning Space
نویسنده
چکیده
The generalized Killing equations and the symmetries of Taub-NUT spinning space are investigated. For spinless particles the Runge-Lenz vector defines a constant of motion directly, whereas for spinning particles it now requires a non-trivial contribution from spin. The generalized Runge-Lenz vector for spinning Taub-NUT space is completely evaluated. PACS. 04.20.Me Conservation laws and equations of motion 11.30.-j Symmetry amd conservation laws E-mail address: [email protected] or [email protected]
منابع مشابه
20 01 Runge - Lenz operator for Dirac field in Taub - NUT background
Fermions in D = 4 self-dual Euclidean Taub-NUT space are investigated. Dirac-type operators involving Killing-Yano tensors of the Taub-NUT geometry are explicitly given showing that they anticommute with the standard Dirac operator and commute with the Hamiltonian as it is expected. They are connected with the hidden symmetries of the space allowing the construction of a conserved vector operat...
متن کاملRunge - Lenz operator for Dirac field in Taub - NUT background
Fermions in D = 4 self-dual Euclidean Taub-NUT space are investigated. Dirac-type operators involving Killing-Yano tensors of the Taub-NUT geometry are explicitly given showing that they anticommute with the standard Dirac operator and commute with the Hamiltonian as it is expected. They are connected with the hidden symmetries of the space allowing the construction of a conserved vector operat...
متن کاملar X iv : h ep - t h / 05 11 19 0 v 2 6 D ec 2 00 5 The Dirac equation in Taub - NUT space
Using chiral supersymmetry, we show that the massless Dirac equation in the Taub-NUT gravita-tional instanton field is exactly soluble and explain the arisal and the use of the dynamical (super) symmetry. 1. Introduction The Dirac equation D ψ = 0 in the Kaluza-Klein (KK) monopole field — obtained by imbedding the Taub-NUT solution into five-dimensional gravity with trivial time dependence [1] ...
متن کاملar X iv : h ep - t h / 05 11 19 0 v 1 1 8 N ov 2 00 5 The Dirac equation in Taub - NUT space
Using chiral supersymmetry, we show that the massless Dirac equation in the Taub-NUT gravita-tional instanton field is exactly soluble and explain the arisal and the use of the dynamical (super) symmetry. 1. Introduction The Dirac equation D ψ = 0 in the Kaluza-Klein (KK) monopole field — obtained by imbedding the Taub-NUT solution into five-dimensional gravity with trivial time dependence [1] ...
متن کاملFermion on Curved Spaces, Symmetries, and Quantum Anomalies
We review the geodesic motion of pseudo-classical spinning particles in curved spaces. Investigating the generalized Killing equations for spinning spaces, we express the constants of motion in terms of Killing–Yano tensors. Passing from the spinning spaces to the Dirac equation in curved backgrounds we point out the role of the Killing–Yano tensors in the construction of the Dirac-type operato...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1994