Spinning particles in curved space-time can have fermionic symmetries generated by the
square root of bosonic constants of motion other than the hamiltonian. We present a general …

The motion of spinning relativistic particles in external electromagnetic and gravitational
fields is considered. The self-consistent equations of motion are built with the noncovariant …

We present a new particle model that generalize for constant curvature space an infinite spin
particle in flat space. The model is described by commuting Weyl spinor additional …

Starting with the Lagrangian formalism with N= 2 supersymmetry in terms of two Grassmann
variables in Classical Mechanics, the Dirac canonical quantization method is implemented …

A new representation, which does not contain the third-order derivatives of the coordinates,
of the exact Mathisson–Papapetrou–Dixon equations, describing the motion of a spinning …

The dynamics of spinning particles in curved space–time is discussed, emphasizing the
hamiltonian formulation. Different choices of hamiltonians allow for the description of …

Hidden symmetries and supergravity solutions | Journal of Mathematical Physics | AIP
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A bstract We develop a variational formulation of a particle with spin in a curved space-time
background. The model is based on a singular Lagrangian which provides equations of …

A Lagrangian formalism is used to study the motion of a spinning massive particle in
Friedmann–Robertson–Walker and Gödel spacetimes, as well as in a general …

Abstract We solve the Killing–Yano equation on manifolds with a G structure for G= SO (n), U
(n), SU (n), Sp (n)⋅ Sp (1), Sp (n), G 2 and Spin (7). Solutions include nearly-Kähler, weak …