Sum rules for Clebsch–Gordan coefficients from group theory and Runge-Lenz-Pauli 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...

On Qcd Sum Rules for Vector Mesons in Nuclear Medium *

Vector mesons show up in the electromagnetic current-current correlator. QCD sum rules provide a constraint on hadronic models for this correlator. This constraint is discussed for the case of finite nuclear density concerning the longitudinal as well as the transverse part of the current-current correlator at finite three-momentum. PACS numbers: 24.85.+p, 21.65.+f, 12.38.Lg, 14.40.Cs