Zheng Xie and Hongbo Li 2008 J. Phys. A: Math. Theor. 41 085208 doi:10.1088/1751-8113/41/8/085208
Applications of exterior difference systems to variations in discrete mechanics*
Zheng Xie and Hongbo Li
Show affiliationsIn discrete mechanics, difference equations describe the fundamental physical laws and exhibit many geometric properties. Can these equations be obtained in a geometric way? Using some techniques in exterior difference systems, we investigate the discrete variational problem. As an application, we give a positive answer to the above question for the discrete Newton's, Euler–Lagrange, and Hamilton's equations.
- Footnote
- PACS
- MSC
- Subjects
- Dates
-
Issue 8 (29 February 2008)
Received 16 November 2007, in final form 8 January 2008
Published 12 February 2008
-
Applications of exterior difference systems to variations in discrete mechanics
Zheng Xie and Hongbo Li 2008 J. Phys. A: Math. Theor. 41 085208
-
Dynamically solving the μ/Bμ problem in gauge-mediated supersymmetry breaking
Tao Liu and Carlos E.M. Wagner JHEP06(2008)073
-
Dynamics of vacillating voters
R Lambiotte and S Redner J. Stat. Mech. (2007) L10001
-
Impact of a uniform magnetic field and non-zero temperature on explicit chiral symmetry breaking in QED: arbitrary hierarchy of energy scales
A Ayala et al 2010 J. Phys. G: Nucl. Part. Phys. 37 015001
-
Observational bounds on cosmic doomsday
Renata Kallosh et al JCAP10(2003)015
-
In situ synthesis and photoluminescence of QD-CdS on silk fibroin fibers at room temperature
Huilan Su et al 2008 Nanotechnology 19 025601
-
On functions defined by sums of products of Bessel functions
P A Martin 2008 J. Phys. A: Math. Theor. 41 015207
-
Five-dimensional gauge theories and quantum mechanical matrix models
Timothy J. Hollowood JHEP03(2003)039
-
Noise rectification and fluctuations of an asymmetric inelastic piston
G. Costantini et al 2008 EPL 82 50008
-
Classical self-dual BPS strings in d=6, (2,0) theory from afar
Andreas Gustavsson JHEP01(2003)019
Users also read
What's this?- Hannay angle and geometric phase shifts under adiabatic parameter changes in classical dissipative systems
- One-dimensional anyons with competing δ-function and derivative δ-function potentials
-
Discrete
-symmetric models of scattering