247 citations · 988 across the 59 of their papers we have counts for
Showing math-phShow all
3 papers · 1 filter
math-ph2014
Gauge-covariant extensions of Killing tensors and conservation laws
J. W. van Holten
In classical and quantum mechanical systems on manifolds with gauge-field fluxes, constants of motion are constructed from gauge-covariant extensions of Killing vectors and tensors…
math-ph2014★ 23 cited
Conformal Killing Tensors and covariant Hamiltonian Dynamics
M. Cariglia, G. W. Gibbons, J. -W. van Holten +2
A covariant algorithm for deriving the conserved quantities for natural Hamiltonian systems is combined with the non-relativistic framework of Eisenhart, and of Duval, in which the…
math-ph2010★ 3 cited
Nonlinear Bogolyubov-Valatin transformations: 2 modes
K. Scharnhorst, J. -W. van Holten
Extending our earlier study of nonlinear Bogolyubov-Valatin transformations (canonical transformations for fermions) for one fermionic mode, in the present paper we perform a thoro…