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The Biedenharn approach to the Dirac-Coulomb problem is applied to a system considered by D'Hoker and Vinet, which consists of a spin 1 2 particle in the combined field of a Dirac monopole plus a λ 2 /r 2 potential. The explicit solution is obtained by diagonalizing the 'Biedenharn-Temple operator', Γ. 1. Introduction. In a paper anticipating supersymmetric quantum mechanics, [1], Biedenharn pr...

The hidden supersymmetry of the monopole found by De Jonghe et al. is generalized to a spin 1 2 particle in the combined field of a Dirac monopole plus a λ 2 /r 2 potential [considered before by D'Hoker and Vinet], and related to the operator introduced by Biedenharn a long time ago in solving the Dirac-Coulomb problem. Explicit solutions are obtained by diagonalizing the Biedenharn operator.

The ’dyon’ system of D’Hoker and Vinet consisting of a spin 1 2 particle with anomalous gyromagnetic ratio 4 in the combined field of a Dirac monopole plus a Coulomb plus a suitable 1/r potential (which arises in the long-range limit of a self-dual monopole) is studied following Biedenharn’s approach to the Dirac-Coulomb problem: the explicit solution is obtained using the ‘Biedenharn-Temple op...

It is well-known that the Macfarlane-Biedenharn q-oscillator and its generalization has no Hopf structure, whereas the Hong Yan q-oscillator can be endowed with a Hopf structure. In this letter, we demonstrate that it is possible to construct a general q-oscillator algebra which includes the Macfarlane-Biedenharn oscillator algebra and the Hong Yan oscillator algebra as special cases. E-mail ad...

(Interscience, New York, 1962), Vol. IV, p. 324. See, for example, R. P. Feynman and M. Gell-Mann, Phys. Rev, 109, 193 (1958). 4L. C. Biedenharn and M. Y. Han, Phys. Letters 36B, 475 (1971);L. C. Biedenharn, M. Y. Han, and H. van Dam, Phys. Rev. Letters 27, 1167 (1971);Lett. Nuovo Cimento 2, 730 (1971). 5L. C. Biedenharn, M. Y. Han, and H. van Dam, Phys. Rev. D 6, 500 (1972). E. Wigner, Ann. Ma...

Generalized Zk-graded Grassmann variables are used to label coherent states related to the nilpotent representation of the q-oscillator of Biedenharn and Macfarlane when the deformation parameter is a root of unity. These states are then used to construct generalized Grassmann representatives of state vectors. Recently in [1] we have constructed coherent states for k-fermions using Kerner’s [2]...