Casimir companion: An invariant of motion for Hamiltonian systems

Farnk Boldt; James D. Nulton; Bjarne Bøgeskov Andresen; Peter Salamon; Karl Heinz Hoffmann

doi:10.1103/physreva.87.022116

Casimir companion: An invariant of motion for Hamiltonian systems

Farnk Boldt, James D. Nulton, Bjarne Bøgeskov Andresen, Peter Salamon, Karl Heinz Hoffmann

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16 Citationer (Scopus)

Abstract

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.

Originalsprog	Engelsk
Tidsskrift	Physical Review A (Atomic, Molecular and Optical Physics)
Vol/bind	87
Udgave nummer	2
Sider (fra-til)	022116
Antal sider	4
ISSN	2469-9926
DOI	https://doi.org/10.1103/physreva.87.022116
Status	Udgivet - 20 feb. 2013

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10.1103/physreva.87.022116

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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 -

Casimir companion: An invariant of motion for Hamiltonian systems

Abstract

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