Research output per year
Research output per year
- 1 - 50 out of 73 results
Search results
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2024
Bertrand’s theorem and the double copy of relativistic field theories
de Neeling, D., Roest, D., Seri, M. & Waalkens, H., Aug-2024, In: Journal of High Energy Physics. 2024, 8, 17 p., 216.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile -
Frames of Group Sets and Their Application in Bundle Theory
Pap, E. J. & Waalkens, H., Jul-2024, In: Mathematics. 12, 13, 38 p., 2135.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile9 Downloads (Pure) -
2023
Critical points at infinity in charged N-body systems
Hoveijn, I., Waalkens, H. & Zaman, M., Jan-2023, In: Indagationes Mathematicae. 34, 1, p. 89-106 18 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile1 Citation (Scopus)36 Downloads (Pure) -
Hill regions of charged three-body systems
Hoveijn, I., Waalkens, H. & Zaman, M., Jan-2023, In: Indagationes Mathematicae. 34, 1, p. 107-142 36 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile30 Downloads (Pure) -
2022
A Unified View on Geometric Phases and Exceptional Points in Adiabatic Quantum Mechanics
Pap, E. J., Boer, D. & Waalkens, H., 13-Jan-2022, In: SIGMA. 18, 42 p., 003.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile5 Citations (Scopus)208 Downloads (Pure) -
Loops of Infinite Order and Toric Foliations
Efstathiou, K., Lin, B. & Waalkens, H., May-2022, In: Regular and Chaotic Dynamics. 27, 3, p. 320-332 13 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile21 Downloads (Pure) -
2020
Chaotic dynamics from a pseudo-linear system
Ghane, H., Sterk, A. E. & Waalkens, H., Jun-2020, In: Ima journal of mathematical control and information. 37, 2, p. 377-394 18 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile3 Citations (Scopus)154 Downloads (Pure) -
Dynamics Associated with the Normally Hyperbolic Invariant Manifold that Governs the Ionization of Hydrogen in a Circularly Polarized Electric Field
Jung, C. & Waalkens, H., 30-Jun-2020, In: International Journal of Bifurcation and Chaos. 30, 08, 2030022.Research output: Contribution to journal › Article › Academic › peer-review
3 Citations (Scopus) -
Phase space structures causing the reaction rate decrease in the collinear hydrogen exchange reaction
Krajnak, V. & Waalkens, H., 31-Jan-2020, In: Journal of Mathematical Chemistry. 58, 1, p. 292-339 48 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile2 Citations (Scopus)119 Downloads (Pure) -
2019
A Lagrangian Fibration of the Isotropic 3-Dimensional Harmonic Oscillator with Monodromy
Chiscop, I., Dullin, H. R., Efstathiou, K. & Waalkens, H., Mar-2019, In: Journal of Mathematical Physics. 60, 3, 15 p., 032103.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile2 Citations (Scopus)831 Downloads (Pure) -
Comment on ’Winding around non-Hermitian singularities’ by Zhong et al., Nat. Commun. 9, 4808 (2018)
Pap, E. J., Boer, D. & Waalkens, H., 2019, In: ArXiv. 1808.08908Research output: Contribution to journal › Article › Academic
File92 Downloads (Pure) -
Critical points of the integral map of the charged 3-body problem
Hoveijn, I., Waalkens, H. & Zaman, M., Jan-2019, In: Indagationes Mathematicae. 30, 1, p. 165-196 32 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile2 Citations (Scopus)99 Downloads (Pure) -
Scattering invariants in Euler’s two-center problem
Martynchuk, N., Dullin, H. R., Efstathiou, K. & Waalkens, H., 2019, In: Nonlinearity. 32, 4, p. 1296-1326 31 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile5 Citations (Scopus)328 Downloads (Pure) -
Sensitivity of chaotic behavior to low optical frequencies of a double-beam torsional actuator
Tajik, F., Sedighi, M., Masoudi, A. A., Waalkens, H. & Palasantzas, G., 1-Jul-2019, In: Physical Review E. 100, 1, 13 p., 012201.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile10 Citations (Scopus)256 Downloads (Pure) -
2018
Defect in the Joint Spectrum of Hydrogen due to Monodromy
Dullin, H. R. & Waalkens, H., 12-Jan-2018, In: Physical Review Letters. 120, 2, 020507.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile12 Citations (Scopus)96 Downloads (Pure) -
Dependence of chaotic actuation dynamics of Casimir oscillators on optical properties and electrostatic effects
Tajik, F., Sedighi, M., Masoudi, A. A., Waalkens, H. & Palasantzas, G., 30-Apr-2018, In: The European Physical Journal B - Condensed Matter. 91, 4, 8 p., 71.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile3 Citations (Scopus)279 Downloads (Pure) -
Dependence of chaotic behavior on optical properties and electrostatic effects in double-beam torsional Casimir actuation
Tajik, F., Sedighi, M., Masoudi, A. A., Waalkens, H. & Palasantzas, G., 13-Aug-2018, In: Physical Review E. 98, 2, 022210.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile22 Citations (Scopus)80 Downloads (Pure) -
Non-Abelian nature of systems with multiple exceptional points
Pap, E. J., Boer, D. & Waalkens, H., 9-Aug-2018, In: Physical Review A. 98, 2, 023818.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile18 Citations (Scopus)89 Downloads (Pure) -
The phase space geometry underlying roaming reaction dynamics
Krajňák, V. & Waalkens, H., 1-Sept-2018, In: Journal of Mathematical Chemistry. 56, 8, p. 2341-2378 38 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile13 Citations (Scopus)298 Downloads (Pure) -
2017
Ken uw klassieken: Het Groenewoldproduct
Translated title of the contribution :The Groenewold Product Research output: Contribution to journal › Article › Popular
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The Groenewold product
Boer, D. & Waalkens, H., 2017, In: Dutch Journal of Physics. 1Research output: Contribution to journal › Article › Academic
Open Access -
2016
Foreword Special Issue Dynamics and Geometry
Hanssmann, H., Hoveijn, I., van Strien, S. & Waalkens, H., Dec-2016, Dynamivs and geometry. Elsevier, Vol. 27. p. 1029 1 p.Research output: Chapter in Book/Report/Conference proceeding › Foreword/postscript › Academic
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Knauf’s degree and monodromy in planar potential scattering
Martynchuk, N. & Waalkens, H., 1-Nov-2016, In: Regular & chaotic dynamics. 21, 6, p. 697-706 10 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile5 Citations (Scopus)48 Downloads (Pure) -
Theory of Gas Phase Scattering and Reactivity for Astrochemistry
Wiesenfeld, L., Thi, W.-F., Caselli, P., Faure, A., Bizzocchi, L., Brandão, J., Duflot, D., Herbst, E., Klippenstein, S. J., Komatsuzaki, T., Puzzarini, C., Roncero, O., Teramoto, H., Toda, M., Avoird, A. V. D. & Waalkens, H., 3-Oct-2016, In: ArXiv.Research output: Contribution to journal › Article › Academic
File214 Downloads (Pure) -
2015
Nonlinear Actuation Dynamics of Driven Casimir Oscillators with Rough Surfaces
Broer, W., Waalkens, H., Svetovoy, V., Knoester, J. & Palasantzas, G., 25-Nov-2015, In: Physical Review Applied. 4, 5, 7 p., 054016.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile48 Citations (Scopus)311 Downloads (Pure) -
Resonances and emission patterns of optical microdisk resonators with scatterers
Morozov, G. V., Sieber, M. & Waalkens, H., 2015, p. 1-4. 4 p.Research output: Contribution to conference › Paper › Academic
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2014
Cotangent bundle reduction and Poincaré–Birkhoff normal forms
Çiftçi, Ü., Waalkens, H. & Broer, H. W., 2014, In: Physica D: Nonlinear Phenomena. 268, p. 1-13 13 p.Research output: Contribution to journal › Article › Academic
Open AccessFile3 Citations (Scopus)429 Downloads (Pure) -
2013
Reaction Dynamics Through Kinetic Transition States
Ciftci, U. & Waalkens, H., 6-Jun-2013, In: Physical Review Letters. 110, 23, 4 p., 233201.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile19 Citations (Scopus)335 Downloads (Pure) -
2012
Phase space structures governing reaction dynamics in rotating molecules
Ciftci, U. & Waalkens, H., Mar-2012, In: Nonlinearity. 25, 3, p. 791-812 22 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile14 Citations (Scopus)328 Downloads (Pure) -
2011
Holonomy-reduced dynamics of triatomic molecules
Çiftçi, Ü. & Waalkens, H., 22-Apr-2011, In: Journal of physics a-Mathematical and theoretical. 44, 16, 9 p., 165202.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile1 Citation (Scopus)339 Downloads (Pure) -
Microdisk Resonators with Two Point Scatterers
Dettmann, C. P., Morozov, G. V., Sieber, M. & Waalkens, H., 2011, ICTON: 2011 13th International Conference on Transparent Optical Networks. University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science, p. 1-3 3 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic
Open AccessFile1 Citation (Scopus)288 Downloads (Pure) -
Trace formula for a dielectric microdisk with a point scatterer
Hales, R. F. M., Sieber, M. & Waalkens, H., 15-Apr-2011, In: Journal of physics a-Mathematical and theoretical. 44, 15, 33 p., 155305.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile9 Citations (Scopus)311 Downloads (Pure) -
2010
A Periodic Orbit Formula for Quantum Reactions Through Transition States
Goussev, A., Schubert, R., Waalkens, H. & Wiggins, S., 2010, AIP Conf. Proc.. Vol. 1281. p. 1593-1596 4 p.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review
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Geometrical Models of the Phase Space Structures Governing Reaction Dynamics
Waalkens, H. & Wiggins, S., Feb-2010, In: Regular & chaotic dynamics. 15, 1, p. 1-39 39 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile35 Citations (Scopus)289 Downloads (Pure) -
Periodic-orbit formula for quantum reactions through transition states
Schubert, R., Waalkens, H., Goussev, A. & Wiggins, S., 23-Jul-2010, In: Physical Review A. 82, 1, 4 p., 012707.Research output: Contribution to journal › Article › Academic › peer-review
1 Citation (Scopus)48 Downloads (Pure) -
Quantum Theory of Reactive Scattering in Phase Space
Goussev, A., Schubert, R., Waalkens, H. & Wiggins, S., 2010, ADVANCES IN QUANTUM CHEMISTRY, VOL 60: UNSTABLE STATES IN THE CONTINUOUS SPECTRA, PART 1: ANALYSIS, CONCEPTS, METHODS, AND RESULTS. Nicolaides, C. & Brandas, E. (eds.). SAN DIEGO: Academic Press, p. 269-332 64 p. (Advances in Quantum Chemistry; vol. 60).Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic
14 Citations (Scopus) -
The flux-flux correlation function for anharmonic barriers
Goussev, A., Schubert, R., Waalkens, H. & Wiggins, S., 28-Dec-2010, In: Journal of Chemical Physics. 133, 24, 8 p., 244113.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile4 Citations (Scopus)345 Downloads (Pure) -
2009
A Quantum Version of Wigner's Transition State Theory
Schubert, R., Waalkens, H. & Wiggins, S., May-2009, In: Few-Body systems. 45, 2-4, p. 203-206 4 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile5 Citations (Scopus)218 Downloads (Pure) -
Classical and quantum transport through entropic barriers modeled by hardwall hyperboloidal constrictions
Hales, R. & Waalkens, H., Jul-2009, In: Annals of Physics. 324, 7, p. 1408-1451 44 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile293 Downloads (Pure) -
Dullin and Waalkens Reply
Dullin, H. R. & Waalkens, H., 7-May-2009, In: Physical Review Letters. 102, 18, 1 p., 188902.Research output: Contribution to journal › Comment/Letter to the editor › Academic › peer-review
2 Citations (Scopus) -
Internal and external resonances of dielectric disks
Dettmann, C. P., Morozov, G. V., Sieber, M. & Waalkens, H., Aug-2009, In: Europhysics Letters. 87, 3, 6 p., 34003.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile27 Citations (Scopus)301 Downloads (Pure) -
Microcanonical rates, gap times, and phase space dividing surfaces
Ezra, G. S., Waalkens, H. & Wiggins, S., 28-Apr-2009, In: Journal of Chemical Physics. 130, 16, 15 p., 164118.Research output: Contribution to journal › Review article › peer-review
Open AccessFile63 Citations (Scopus)401 Downloads (Pure) -
Quantum transition state theory
Waalkens, H., 2009, In: Bulletin of the American Physical Society. 51Research output: Contribution to journal › Article › Academic
140 Citations (Scopus) -
Systematization of All Resonance Modes in Circular Dielectric Cavities
Dettmann, C. P., Morozov, G. V., Sieber, M. & Waalkens, H., 2009, ICTON: 2009 11th International Conference on Transparent Optical Networks, Vols 1 and 2. University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science, p. 763-766 4 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic
Open AccessFile1 Citation (Scopus)280 Downloads (Pure) -
The quantum normal form approach to reactive scattering: The cumulative reaction probability for collinear exchange reactions
Goussev, A., Schubert, R., Waalkens, H. & Wiggins, S., 14-Oct-2009, In: Journal of Chemical Physics. 131, 14, 8 p., 144103.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile8 Citations (Scopus)326 Downloads (Pure) -
Unidirectional emission from circular dielectric microresonators with a point scatterer
Dettmann, C. P., Morozov, G. V., Sieber, M. & Waalkens, H., Dec-2009, In: Physical Review A. 80, 6, 11 p., 063813.Research output: Contribution to journal › Article › Academic › peer-review
58 Citations (Scopus)29 Downloads (Pure) -
2008
Directional emission from an optical microdisk resonator with a point scatterer
Dettmann, C. P., Morozov, G. V., Sieber, M. & Waalkens, H., May-2008, In: Europhysics Letters. 82, 3, 5 p., 34002.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile25 Citations (Scopus)280 Downloads (Pure) -
Far-Field Emission Pattern of a Dielectric Circular Microresonator with a Point Scatterer
Dettmann, C. P., Morozov, G. V., Sieber, M. & Waalkens, H., 2008, Proceedings of the 10th International Conference on Transparent Optical Networks (ICTON2008). University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science, Vol. 4. p. 65-68 3 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic
Open AccessFile300 Downloads (Pure) -
Nonuniqueness of the Phase Shift in Central Scattering due to Monodromy
Dullin, H. R. & Waalkens, H., 15-Aug-2008, In: Physical Review Letters. 101, 7, 4 p., 070405.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile21 Citations (Scopus)502 Downloads (Pure) -
Optical Microdisk Resonator with a Small but Finite Size Scatterer.
Dettmann, C. P., Morozov, G. V., Sieber, M. & Waalkens, H., 2008, Proceedings of the 3rd International Conference on Mathematical Modeling of Wave Phenomena (MMWP08). Linneuuniversitetet, p. 287-289 3 p.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic