Publications in journals

2024

2024

(Group members bold)

2023

2023

(Group members bold)

2022

2022

(Group members bold)

2021

2021

(Group members bold)
 

2020

2020

(Group members bold)

2019

2019

(Group members bold)

2018

2018

(Group members bold)

2017

2017

(Group members bold)

  • Yaroslav Lutsyshyn, Grigori E. Astrakharchik
    SAIL: A CUDA-based implementation of the simulated annealing for the inverse Laplace transform problem
    (submitted)  [arXiv:1609.07936]
2016

2016

(Group members bold)

2015

2015

(Group members bold)

  • R. Mahnke, J. Kaupuzs, M. Brics 
    Air Traffic, Boarding and Scaling Exponents
    in: Traffic and Granular Flow '13,  M. Chraibi, M. Boltes,  A. Schadschneider, A. Seyfried (Eds.), p. 305-314 (Springer, 2015)
  • H. Weber, R. Mahnke, J. Kaupuzs
    From Random Walker to Vehicular Traffic: Motion on a Circle
    in: Traffic and Granular Flow '13,  M. Chraibi, M. Boltes,  A. Schadschneider, A. Seyfried (Eds.), p. 347-359 (Springer, 2015)
2014

2014

(Group members bold)

  • M. Passoni, A. Zani, A. Sgattoni, D. Dellasega, A. Macchi, I. Prencipe, V. Floquet, P. Martin, T.V. Liseykina,  T. Ceccotti
    Energetic ions at moderate laser intensities using foam-based multi-layered targets
    Plasma Phys. Control. Fusion 56, 045001 (2014)
2013

2013

(Group members bold)

  • Claudio Cazorla, Yaroslav Lutsyshyn, and Jordi Boronat
    Elastic constants of incommensurate solid 4He from diffusion Monte Carlo simulations
    Phys. Rev. B 87, 214522 (2013)
  • P. Sperling, T. Liseykina, D. Bauer, R. Redmer
    Time resolved Thomson scattering on high-intensity laser-produced hot dense helium plasmas
    New J. Phys. 15, 025041 (2013)
2012

2012

(Group members bold)

  • M. Tamburini, T. V. Liseykina, F. Pegoraro, A. Macchi
    Radiation Pressure Dominant Acceleration: Polarization and Radiation Reaction Effects in Three Dimensional Particle-In-Cell Simulations
    Phys. Rev. E 85, 016407 (2012)   [arXiv:1108.2372]
  • Ph. A. Korneev, S. V. Popruzhenko, S. P. Goreslavski, T.-M. Yan, D. Bauer, W. Becker, M. Kü̈bel, M. F. Kling, C. Rö̈del, M. Wünsche, and G. G. Paulus
    Interference carpets in above-threshold ionization: from the Coulomb-free to the Coulomb-dominated regime
    Phys. Rev. Lett. 108, 223601 (2012)
  • J. Bahn, P. Oelßner, M. Köther, C. Braun, V. Senz, S. Palutke, M. Martins, E. Rühl, G. Ganteför, T. Möller, B. von Issendorff, D. Bauer, J. Tiggesbäumker, K.-H. Meiwes-Broer
    Pb 4f photoelectron spectroscopy on mass-selected anionic lead clusters at FLASH
    New. J. Phys. 14, 075008 (2012)
  • Y. Huismans, A. Gijsbertsen, A. S. Smolkowska, J. H. Jungmann, A. Rouzée, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, M. Yu. Ivanov, T.-M. Yan, D. Bauer, O. Smirnova, and M. J. J. Vrakking
    Scaling Laws for Photoelectron Holography in the Mid-Infrared Wavelength Regime
    Phys. Rev. Lett. 109, 013002 (2012)
  • G. Sarri, A. Macchi, T. V. Liseykina, X. H. Yang, L. Romagnani, S. Kar, C.
    A. Cecchetti, M. E. Dieckmann, J. Fuchs, M. Galimberti, L. A. Gizzi, R. Jung,
    I. Kourakis, J. Osterholz, F. Pegoraro, A. P. L. Robinson, O. Willi, M. Borghesi
    Dynamics of Self-Generated, Large Amplitude Magnetic Fields Following High-Intensity Laser Matter Interaction
    Phys. Rev. Lett. 109, 205002 (2012)   [arXiv:1210.4366v1]
  • T.-M. Yan, S.V. Popruzhenko, M.J.J. Vrakking, D. Bauer
    Trajectory-Based Coulomb-Corrected Strong Field Approximation
    in:Multiphoton Processes and Attosecond Physics, K. Yamanouchi, K. Midorikawa (Eds.) (Springer, Heidelberg, 2012)
2011

2011

(Group members bold)

  • Y. Huismans, A. Rouzée, A. Gijsbertsen, J. Jungmann, A. Smolkowska, P. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Martchenko, J. Bakker, G. Berden, B. Redlich, L. van der Meer, H.G. Muller, W. Vermin, K.J. Schafer, O. Smirnova, M. Ivanov, M. Spanner, D. Bauer, S. Prophuzhenko, and M.J.J. Vrakking
    Time-resolved holography with photoelectron waves
    Science 331, 61 (2011)  (article in Science Daily)
  • M. Tamburini, F. Pegoraro, A. Di Piazza, C.H. Keitel, T.V. Liseykina, and A. Macchi
    Radiation reaction effects on electron nonlinear dynamics and ion acceleration in laser–solid interaction
    Nucl. Instr. and Meth. A 653, 181 (2011)
  • A. Macchi, M. Tamburini, F. Pegoraro, T.V. Liseykina
    Radiation friction modeling in superintense laser-plasma interactions
    Proc. SPIE 8075, 807509 (2011)
2010

2010

(Group members bold)

  • L. Romagnani, A. Bigongiari, S. Kar, S.V. Bulanov, C.A. Cecchetti, T.Zh. Esirkepov, M. Galimberti, R. Jung, T.V. Liseykina, A. Macchi, J. Osterholz, F. Pegoraro, O. Willi, and M. Borghesi
    Observation of magnetized soliton remnants in the wake of intense laser pulse propagation through plasmas
    Phys. Rev. Lett. 105, 175002 (2010)

--------------------------------------------------

Publications - Emeritus Group (Prof. Röpke, Prof. Reinholz, Dr. Schmelzer, Dr. Wierling)

  • G. Röpke
    Light Clusters in Core-Collapse Supernovae
    PoS(NIC XI)156 (2010)

  • A. Wierling
    Screening correction to nuclear reaction rates in brown dwarfs and low-mass stars
    PoS(NIC XI)135 (2010)

  • August Wierling and Isao Sawada
    Wave-number dependent current correlation for a harmonic oscillator
    Phys. Rev. E 82, 051107 (2010)

  • J. B. Natowitz, G. Röpke, S. Typel, D. Blaschke, A. Bonasera, K. Hagel, T. Klähn, S. Kowalski, L. Qin, S. Shlomo, R. Wada, and H. H. Wolter
    Symmetry Energy of Dilute Warm Nuclear Matter
    Phys. Rev. Lett. 104, 202501 (2010)

  • C. Fortmann, A. Wierling, G. Röpke
    Influence of local-field corrections on Thomson scattering in collision-dominated two-component plasmas
    Phys. Rev. E 81, 026405 (2010)

  • U. Zastrau, P. Audebert, V. Bernshtam, E. Brambrink, T. Kämpfer, E. Kroupp, R. Loetzsch, Y. Maron, Yu. Ralchenko, H. Reinholz, G. Röpke, A. Sengebusch, E. Stambulchik, I. Uschmann, L. Weingarten, and E. Förster
    Temperature and Kα -yield radial distributions in laser-produced solid-density plasmas imaged with ultrahigh-resolution x-ray spectroscopy
    Phys. Rev. E 81, 026406 (2010)

  • Yu.B. Zaporozhets, V. Mintsev, V. Gryaznov, V.E. Fortov, H. Reinholz, G. Röpke
    The Investigation of s- and p-Polarized Reflectivities of Nonideal Plasma
    Contrib. Plasma Phys. 50, 60 (2010)

  • S. Typel, G. Röpke, T. Klähn, D. Blaschke, and H. H. Wolter
    Composition and thermodynamics of nuclear matter with light clusters
    Phys. Rev. C 81, 015803 (2010)

  • Publications by J. Schmelzer
2009

2009

(Group members bold)

  • M. Ruggenthaler and D. Bauer
    The local Hartree-exchange and correlation potential defined by local force equations
    Phys. Rev. A 80, 052502 (2009)

  • M. Ruggenthaler, M. Penz, and D. Bauer
    On the existence of effective potentials in time-dependent density functional theory
    J. Phys. A: Math. Theor. 42, 425207 (2009)

  • A. Macchi, A. Bigongiari, and T.V. Liseikina
    Highlights from particle-in-cell simulations of superintense laser-plasma interactions
    Nuovo Cimento C 32, 153 (2009)

  • Andrea Macchi, Tatiana V. Liseikina, Sara Tuveri, and Silvia Veghini
    Theory and simulation of ion acceleration with circularly polarized laser pulses
    Comptes Rendus Physique 10, 207 (2009)

  • C. Benedetti, P. Londrillo, T.V. Liseykina, A. Macchi, A. Sgattoni, and G. Turchetti
    Ion acceleration by Petawatt class laser pulses and pellet compression in a fast ignition scenario
    Nucl. Instr. Meth. A  606, 89 (2009)

  • R. Gopal, K. Simeonidis, R. Moshammer, Th. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, Th. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M.F. Kling
    Electron Wavepacket Interferences Pointing towards Holographic Imaging in Few-Cycle Laser Pulses
    Phys. Rev. Lett. 103, 053001 (2009)   (press release)

  • M. Ruggenthaler and D. Bauer
    Rabi Oscillations and Few-Level Approximations in Time-Dependent Density Functional Theory
    Phys. Rev. Lett. 102, 233001 (2009)    [arXiv:0906.1556]

  • K. Quinn, P. A. Wilson, C. A. Cecchetti, B. Ramakrishna, L. Romagnani, G. Sarri, L. Lancia, J. Fuchs, A. Pipahl, T. Toncian, O. Willi, R.J. Clarke, D. Neely, M. Notley, P. Gallegos, D. C. Carroll, M. N. Quinn, X. H. Yuan, P. McKenna, T. V. Liseykina, A. Macchi, and M. Borghesi
    Laser-Driven Ultrafast Field Propagation on Solid Surfaces
    Phys. Rev. Lett. 102, 194801 (2009)

  • S.V. Popruzhenko, V.D. Mur, V.S. Popov, and D. Bauer
    Multiphoton ionization of atoms and ions by intense x-ray lasers
    JETP 108, 947 (2009)

-----------------------------------------------------

Publikationen Emeritus Group (Prof. Röpke, Prof. Reinholz, Dr. Schmelzer, Dr. Wierling)

Y. A. Omarbakiyeva, G. Röpke, T. S. Ramazanov
Phase Shifts and the Second Virial Coefficient for a Partially Ionized Hydrogen Plasma
Contrib. Plasma Phys. 49, 718 (2009)

A. Sengebusch, H. Reinholz, G. Röpke
Composition of Partially Ionized Systems Using the Planck-Larkin Partition Function of Mid-Z ions
Contrib. Plasma Phys. 49, 748 (2009)

P. Sperling, A. Wierling, G. Röpke, M. Winkel
Radiation Hydrodynamics of Laser-Induced Plasmas Using Dynamic Collision Frequencies
Contrib. Plasma Phys. 49, 732 (2009)

A. Wierling, C. Fortmann, G. Röpke
Dynamic Local Field Corrections for Two-Component Plasmas
Contrib. Plasma Phys. 49, 700 (2009)

M. Winkel, H. Reinholz, A. Wierling, G. Röpke, Y. Zaporozhets, V. Mintsev
Dynamical Collision Frequency in Warm Dense Matter: Exemplary Application to Plasma Reflectivity
Contrib. Plasma Phys. 49, 687 (2009)

A. Wierling
Fitting the dielectric response of collisionless plasmas by continued fractions
Phys. Plasmas 16, 112105 (2009)

Additional publications by Prof. Röpke in 2009

 

2005 - 2008

2005 - 2008

Work performed at MPI-K Heidelberg

P. Mulser, D. Bauer, and H. Ruhl
Collisionless Laser-Energy Conversion by Anharmonic Resonance
Phys. Rev. Lett. 101, 225002 (2008)

T.V. Liseikina, D. Prellino, F. Cornolti, and A. Macchi
Ponderomotive Acceleration of Ions: Circular Versus Linear Polarization
IEEE Transactions on Plasma Science 36, 1866 (2008)

S.V. Popruzhenko, V.D. Mur, V.S. Popov, and D. Bauer
Strong Field Ionization Rate for Arbitrary Laser Frequencies
Phys. Rev. Lett. 101, 193003 (2008)  [arXiv:0807.2226]

Tatiana V. Liseykina, Andrea Macchi, Sara Tuveri
Radiation Pressure Acceleration by Ultraintense Laser Pulses
Plasma Phys. Control. Fusion 50, 124033 (2008)[arXiv:0806.0348]

S. Kar, M. Borghesi, S.V. Bulanov, M.H. Key, T.V. Liseykina, A. Macchi, A.J. Mackinnon, P.K. Patel, L. Romagnani, A. Schiavi, and O. Willi
Plasma Jets Driven by Ultraintense-Laser Interaction with Thin Foils
Phys. Rev. Lett. 100, 225004 (2008)

S.V. Popruzhenko, D.F. Zaretsky, and D. Bauer
Energy absorption and emission of harmonics by clusters subject to intense short laser pulses
Las. Phys. Lett. 5, 631 (2008) (invited short review)

N.I. Shvetsov-Shilovski, S.P. Goreslavski, S.V. Popruzhenko, and W. Becker
Ellipticity effects and the contributions of long orbits in nonsequential double ionization of atoms
Phys. Rev. A 77, 063405 (2008)

M. Ruggenthaler, S.V. Popruzhenko, and D. Bauer
Recollision-Induced Plasmon Excitation in Strong Laser Fields
Phys. Rev. A 78, 033413 (2008)   [arXiv:0803.2046]

S.V. Popruzhenko and D. Bauer
Strong Field Approximation for Systems with Coulomb Interaction
J. Mod. Opt. 55, 2573 (2008)  [script]   [arXiv:0803.1972]

M. Kundu and D. Bauer
Optimizing the ionization and energy absorption of laser-irradiated clusters
Phys. Plasmas 15, 033303 (2008)[arXiv:0801.1231]

S.V. Popruzhenko, M. Kundu, D.F. Zaretsky, and D. Bauer
Harmonic emission from cluster nanoplasmas subject to intense short laser pulses
Phys. Rev. A  77, 063201 (2008)  [arXiv:0712.0586]

S.V. Popruzhenko, G.G. Paulus, and D. Bauer
Coulomb-corrected quantum trajectories in strong-field ionization
Phys. Rev. A77, 053409 (2008)      [script]

--------------------------------------------------

2007

O. Kidun, D. Bauer, N. Fominykh, and J. Berakdar
Model calculations of photoelectron emission from a surface-deposited fullerene monolayer
J. Phys. B: At. Mol. Opt. Phys. 40, 4617 (2007)

M. G. Girju, K. Hristov, O. Kidun, and D. Bauer
Nonperturbative resonant strong field ionization of atomic hydrogen
J. Phys. B: At. Mol. Opt. Phys. 40, 4165 (2007)  [arXiv: 0707.3111]

M. Kundu, S.V. Popruzhenko, and D. Bauer
Harmonic generation from laser-irradiated clusters
Phys. Rev. A 76, 033201 (2007)  [arXiv:0704.3401]

F. Wilken and D. Bauer
Momentum distributions in time-dependent density functional theory: Product phase approximation for non-sequential double ionization in strong laser fields
Phys. Rev. A 76, 023409 (2007)  [arXiv:0704.1423]

V.S. Popov, V.D. Mur, and S.V. Popruzhenko
On the inclusion of the Coulomb interaction in the theory of multiphoton ionization
JETP Lett. 85, 223  (2007)

N.I. Shvetsov-Shilovski, S.P. Goreslavski, S.V. Popruzhenko, W. Becker, G.G. Paulus
Reconstruction of an arbitrarily polarized few-cycle laser pulse by two-dimensional streaking
Laser Physics Letters 4, DOI: 10.1002/lapl.200710050

D. Bauer and P. Mulser
Vacuum heating vs skin layer absorption of intense fs laser pulses
Phys. Plasmas 14, 023301 (2007)

O. Kidun and D. Bauer
Harmonium in intense laser fields: excitation, absorption, and transparency
J. Phys. B: At. Mol. Opt. Phys. 40, 779 (2007)  [physics/0610148]

P. Koval, F. Wilken, D. Bauer, and C.H. Keitel
Nonsequential Double Recombination in Intense Laser Fields
Phys. Rev. Lett. 98, 043904 (2007)   [physics/0609010]

--------------------------------------------------

2006

M. Kundu and D. Bauer
Collisionless energy absorption in the short-pulse intense laser-cluster interaction
Phys. Rev.  A  74, 063202 (2006) [physics/0607185]

F. Wilken and D. Bauer
Adiabatic Approximation of the Correlation Function in the Density-Functional Treatment of Ionization Processes
Phys. Rev. Lett. 97, 203001 (2006)  [physics/0607153]

D. B. Milošević, G. G. Paulus, D. Bauer, and W. Becker
Above-threshold ionisation by few-cycle pulses
J. Phys. B: At. Mol. Opt. Phys. 39, R203 (2006). 

M. Kundu and D. Bauer
Nonlinear Resonance Absorption in the Laser-Cluster Interaction
Phys. Rev. Lett. 96, 123401 (2006)  [physics/0512249]

D. Bauer, D. B. Milošević, and W. Becker
On the validity of the strong field approximation and simple man's theory,
J. Mod. Opt. 53, 135 (2006)

D. B. Milošević, D. Bauer, and W. Becker
Quantum orbit theory of high-order atomic processes in intense laser fields, 
J. Mod. Opt. 53, 125 (2006)

D. Bauer and P. Koval,
QPROP: A Schrödinger-solver for intense laser-atom interaction
Comp. Phys. Comm. 174, 396 (2006)  [physics/0507089]

 --------------------------------------------------

2005

D. Bauer, D. B. Milošević, and W. Becker
Strong-field approximation for intense-laser atom processes: the choice of gauge
Phys. Rev. A 72, 023415 (2005)  [quant-ph/0504053]

F. Lindner, M. G. Schätzel, H. Walther, A. Baltuška, E. Goulielmakis, F. Krausz, D. B. Milošević, D. Bauer, W. Becker, and G. G. Paulus
Attosecond Double-Slit Experiment
Phys. Rev. Lett. 95, 040401 (2005)  [quant-ph/0503165]

D. Bauer
Emergence of Classical Orbits in Few-Cycle Above-Threshold Ionization of Atomic Hydrogen, 
Phys. Rev. Lett. 94, 113001 (2005)

D. Bauer and P. Mulser
Irreversible energy gain by linear and nonlinear oscillators, 
J. Phys.: Conf. Ser. 11, 169 (2005)

S.V. Fomichev, D.F. Zaretsky, D. Bauer, and W. Becker
Classical molecular-dynamics simulations of laser-irradiated clusters: nonlinear electron dynamics and resonance-enhanced low-order harmonic generation, 
Phys. Rev. A 71, 013201 (2005)

2004 and earlier

2004 and earlier

Work performed at MBI Berlin

D. Bauer
Small rare gas clusters in laser fields: ionisation and absorption at long and short laser wavelengths, 
J. Phys. B: At. Mol. Opt. Phys. 37, 3085 (2004)  [physics/0403016][PDF]

D. Bauer
Small rare gas clusters in XUV laser pulses, 
Appl. Phys. B 78, 801 (2004) [physics/0310166]

F. Ceccherini, N. Davini, D. Bauer, and F. Cornolti
Harmonic generation by atoms in circularly polarized fields: far-off and near resonances regimes, 
Appl. Phys. B 78, 851 (2004)  [physics/0311032]

--------------------------------------------------

Work performed at TU Darmstadt, Uni Pisa, TU Helsinki
< 2004

D. Bauer and A. Macchi
Dynamical ionization ignition of clusters in intense and short laser pulses
Phys. Rev. A 68, 033201 (2003). [physics/0304057] [PDF]

P. Mulser and D. Bauer

Fast ignition of fusion pellets with superintense lasers: concepts, problems and prospectives,  Laser & Particle Beams 22, 5 (2004).

D. Bauer
Plasma formation through field ionization in intense laser-matter interaction
Laser & Particle Beams 21, 489 (2003).

F. Ceccherini, D. Bauer, and F. Cornolti
Harmonic generation by atoms in circularly polarized two-color laser fields with coplanar polarizations and commensurate frequencies
Phys. Rev. A 68, 053402 (2003). [physics/0211110]

D. Bauer, F. Ceccherini
Dynamic two-color stabilization of hydrogen
Laser Physics 13, 475 (2003).

D. Bauer, F. Ceccherini

Two-color stabilization of atomic hydrogen in circularly polarized laser pulses
Phys. Rev. A 66, 053411 (2002). [physics/0208073]

F. Ceccherini, D. Bauer, and F. Cornolti
Dynamical symmetries and harmonic generation
J. Phys. B: At. Mol. Opt. Phys. 34, 5017 (2001). [physics/0107024]

D. Bauer, F. Ceccherini, A. Macchi, and F. Cornolti
C60 in intense femtosecond laser pulses: nonlinear dipole response and ionization
Phys. Rev. A 64, 063203 (2001), [physics/0106044]

F. Ceccherini and D. Bauer
Harmonic generation in ring-shaped molecules
Phys. Rev. A 64, 033423 (2001), [physics/0102023]

D. Bauer and F. Ceccherini
Time-dependent density functional theory applied to nonsequential multiple ionization of Ne at 800 nm
Optics Express 8, 377 (2001).

D. Bauer and F. Ceccherini
A numerical ab initio study of harmonic generation from a ring-shaped model molecule in laser fields
Laser & Particle Beams 19, 85 (2001)., [physics/0101097]

D. Pitrelli, D. Bauer, A. Macchi, and F. Cornolti
Ionization of the Thomas-Fermi atom in intense laser fields: The static limit revisited
J. Phys. B: At. Mol. Opt. Phys. 33, 829 (2000).

P. Mulser, D. Bauer, S. Hain, H. Ruhl, and F. Cornolti
Present understanding of super-intense laser-solid interaction,
Laser Physics 10, 231 (2000).

D. Bauer, F. Ceccherini, P. Mulser, and F. Cornolti
Stabilization of two-electron systems in intense laser fields
Laser Physics 10, 198 (2000).

F. Ceccherini, D. Bauer, and P. Mulser
Electron correlation vs. stabilization of atoms in intense laser pulses
Laser & Particle Beams 18, 449 (2000).

D. Bauer and F. Ceccherini,
Electron correlation vs. stabilization: A two-electron model atom in an intense laser pulse
Phys. Rev. A 60, 2301 (1999).

D. Bauer, P. Mulser, A. Macchi, E. Conejero Jarque, R.R.E. Salomaa,
Ultrafast ionization: TDSE calculations and intense laser pulse-solid interaction
Laser Physics 9, 58 (1999).

Andrea Macchi, Enrique Conejero Jarque, Dieter Bauer, Fulvio Cornolti, Luis Plaja,
Steady magnetic field generation due to transient field ionization in ultrashort laser-solid interaction,
Phys. Rev. E 59, R36 (1999).

D. Bauer and P. Mulser,
Exact field ionization rates in the barrier suppression-regime from numerical TDSE calculations
Phys. Rev. A 59, 569 (1999).

D. Bauer, R.R.E. Salomaa, and P. Mulser,
Generation of ultrashort light pulses by a rapidly ionizing thin foil
Phys. Rev. E 58, 2436 (1998).

P. Mulser, F. Cornolti, and D. Bauer, 
Modeling field ionization in an energy conserving form and resulting nonstandard fluid dynamics
Phys. Plasmas 5, 4466 (1998).

D. Bauer,
A two-dimensional, two-electron model atom in a laser pulse: exact treatment, single active electron-analysis, time-dependent density functional theory, classical calculations, and non-sequential ionization,
Phys. Rev. A 56, 3028 (1997).

D. Bauer,
Ejection Energy of Photoelectrons in Strong Field Ionization,
Phys. Rev. A 55, 2180 (1997).

D. Bauer, P. Mulser, and W.-H. Steeb, 
Relativistic Ponderomotive Force, Uphill Acceleration, and Transition to Chaos,
Phys. Rev. Lett. 75, 4622 (1995).