14 citations · 42 across the 7 of their papers we have counts for
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Covariant Approach of the Dynamics of Particles in External Gauge Fields, Killing Tensors and Quantum Gravitational Anomalies
Mihai Visinescu
We give an overview of the first integrals of motion of particles in the presence of external gauge fields in a covariant Hamiltonian approach. The special role of Stäckel-Killing…
Infinite loop superalgebras of the Dirac theory on the Euclidean Taub-NUT space
Ion I. Cotaescu, Mihai Visinescu
The Dirac theory in the Euclidean Taub-NUT space gives rise to a large collection of conserved operators associated to genuine or hidden symmetries. They are involved in interestin…
Fermion on Curved Spaces, Symmetries, and Quantum Anomalies
Mihai Visinescu
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…
Symmetries and supersymmetries of the Dirac operators in curved spacetimes
I. I. Cotaescu, M. Visinescu
It is shown that the main geometrical objects involved in all the symmetries or supersymmetries of the Dirac operators in curved manifolds of arbitrary dimensions are the Killing v…
The induced representation of the isometry group of the Euclidean Taub-NUT space and new spherical harmonics
Ion I. Cotaescu, Mihai Visinescu
It is shown that the SO(3) isometries of the Euclidean Taub-NUT space combine a linear three-dimensional representation with one induced by a SO(2) subgroup, giving the transformat…
Symmetries of the Dirac operators associated with covariantly constant Killing-Yano tensors
Ion I. Cotăescu, Mihai Visinescu
The continuous and discrete symmetries of the Dirac-type operators produced by particular Killing-Yano tensors are studied in manifolds of arbitrary dimensions. The Killing-Yano te…