Quick search Find article
Quick search
Find article

Removing the time dependence in a rapidly oscillating Hamiltonian

Ildar Gabitov-+ and Ian Marshall++

Show affiliations


Recommended by S Fauve

Hamiltonian systems with rapidly oscillating explicit dependence on time are considered. The wavelength of this oscillation is treated as a small parameter and it is shown how to remove the time dependence up to some order in the small parameter by means of a canonical transformation presented in the form of an asymptotic series. The result has applications for the study of pulse propagation for high bit-rate transmission in optical fibres.

PACS number 4279Sz


PACS

45.20.Jj Lagrangian and Hamiltonian mechanics

42.79.Sz Optical communication systems, multiplexers, and demultiplexers

42.65.-k Nonlinear optics

MSC

78A60 Lasers, masers, optical bistability, nonlinear optics (See also 81V80)

70H05 Hamilton's equations

70H15 Canonical and symplectic transformations

78M35 Asymptotic analysis

Subjects

Mathematical physics

Optics, quantum optics and lasers

Dates

Issue 4 (July 1998)

Received 10 July 1997



  1. Removing the time dependence in a rapidly oscillating Hamiltonian

    Ildar Gabitov and Ian Marshall 1998 Nonlinearity 11 845

  2. Ion recombination correction in the Clatterbridge Centre of Oncology clinical proton beam

    Hugo Palmans et al 2006 Phys. Med. Biol. 51 903

  3. Relating covariant and canonical approaches to triangulated models of quantum gravity

    Matthias Arnsdorf 2002 Class. Quantum Grav. 19 1065

  4. A new prediction for the binding energy of the 7ΛHe hypernucleus

    I Filikhin et al 2005 J. Phys. G: Nucl. Part. Phys. 31 389

  5. On randomness in quantum mechanics

    Alberto C de la Torre 2008 Eur. J. Phys. 29 567

  6. Gravitational effects induced by a magnetic field in three dimensions

    B V Ivanov 1994 Class. Quantum Grav. 11 1359

  7. Cluster mass estimators from CMB temperature and polarization lensing

    Wayne Hu et al 2007 New J. Phys. 9 441

  8. On the inverse scattering problem on branching graphs

    P Kurasov and F Stenberg 2002 J. Phys. A: Math. Gen. 35 101

  9. Relative enhancement of near-UV emission from a low-pressure mercury-rare-gas discharge lamp, for an LCD backlighting application

    R Devonshire et al 2000 Meas. Sci. Technol. 11 547

  10. Restricted valence site animals on the simple cubic lattice

    D S Gaunt et al 1980 J. Phys. A: Math. Gen. 13 1791

Related review articles

What's this?
View review articles related to this research to gain an insight into the key trends in this subject area. Related review articles are selected based on PACS/MSC codes, and are no more than three years old.

  1. Discrete breathers in Bose–Einstein condensates
  2. Integrable billiards and quadrics
  3. Hill's formula
More

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.