New vistas on the Laplace-Runge-Lenz vector

Laplace-Runge-Lenz Vector

Runge - Lenz Vector in Taub -nut Spinning Space

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 equati...

Runge-lenz Vector, Accidental Su (2) Symmetry, and Unusual Multiplets for Motion on a Cone

We consider a particle moving on a cone and bound to its tip by 1/r or harmonic oscillator potentials. When the deficit angle of the cone divided by 2π is a rational number, all bound classical orbits are closed. Correspondingly, the quantum system has accidental degeneracies in the discrete energy spectrum. An accidental SU(2) symmetry is generated by the rotations around the tip of the cone a...

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...

New Vistas on Oxidative Damage and Aging

Age-associated rises in oxidative damage are assumed to be a central phenomenon of aging. Their attenuation is an aim for both healthy aging and life extension. This review intends to critically discuss the potential of anti-oxidant actions, but even more to direct the attention to the modes of radical avoidance and to regulatory networks involved. Mitochondria seem to play a decisive role in r...