TY - JOUR
T1 - Casimir companion
T2 - An invariant of motion for Hamiltonian systems
AU - Boldt, Farnk
AU - Nulton, James D.
AU - Andresen, Bjarne Bøgeskov
AU - Salamon, Peter
AU - Hoffmann, Karl Heinz
PY - 2013/2/20
Y1 - 2013/2/20
N2 - In this paper an invariant of motion for Hamiltonian systems is introduced: the Casimir companion. For systems with simple dynamical algebras (e.g., coupled spins, harmonic oscillators) our invariant is useful in problems that consider adiabatically varying the parameters in the Hamiltonian. In particular, it has proved useful in optimal control of changes in these parameters. The Casimir companion also allows simple calculation of the entropy of nonequilibrium ensembles.
AB - In this paper an invariant of motion for Hamiltonian systems is introduced: the Casimir companion. For systems with simple dynamical algebras (e.g., coupled spins, harmonic oscillators) our invariant is useful in problems that consider adiabatically varying the parameters in the Hamiltonian. In particular, it has proved useful in optimal control of changes in these parameters. The Casimir companion also allows simple calculation of the entropy of nonequilibrium ensembles.
U2 - 10.1103/physreva.87.022116
DO - 10.1103/physreva.87.022116
M3 - Journal article
SN - 2469-9926
VL - 87
SP - 022116
JO - Physical Review A (Atomic, Molecular and Optical Physics)
JF - Physical Review A (Atomic, Molecular and Optical Physics)
IS - 2
ER -