Johann Bernoulli Stichting voor de Wiskunde te Groningen

You can also find my publications on Google Scholar and ResearchGate

Preprints

  1. Martynchuk, N., Dullin, H.R., Efstathiou, K. and Waalkens, H. (2018) Scattering invariants in Euler's two-center problem.. . (URL) (BibTeX)
  2. Tajik, Fatemeh, Sedighi, Mehdi, Masoudi, Amirali, Waalkens, Holger and Palasantzas, George (2017) Dependence of chaotic actuation dynamics of Casimir oscillators on optical properties and electrostatic effects.. . (BibTeX)
  3. Laurent Wiesenfeld, Wing-Fai Thi, Paola Caselli, Alexandre Faure, Luca Bizzocchi, Joao Brandao, Denis Duflot, Eric Herbst, Stephen J. Klippenstein, Tamiki Komatsuzaki, Cristina Puzzarini, Octavio Roncero and Hiroshi Teramoto, Mikito Toda, Ad van der Avoird and Holger Waalkens (2016) Theory of Gas Phase Scattering and Reactivity for Astrochemistry.. . (URL) (BibTeX)

Published

  1. Vladimír Krajňák and Holger Waalkens (2018) The phase space geometry underlying roaming reaction dynamics.. . (URL) (BibTeX)
  2. Dullin, Holger R. and Waalkens, Holger (2018) Defect in the Joint Spectrum of Hydrogen due to Monodromy.. . (URL) (BibTeX)
  3. D. Boer and H. Waalkens (2017) Het Groenewoldproduct.. . (BibTeX)
  4. D. Boer and H. Waalkens (2017) The Groenewold product.. . (URL) (BibTeX)
  5. H. Han\ssmann , I. Hoveijn, S. van Strien and H. Waalkens (editors) (2016) Dynamics and Geometry. Indagationes Mathematicae, 27(5): 1029--1336. (BibTeX)
  6. Martynchuk, N. and Waalkens, H. (2016) Knauf's Degree and Monodromy in Planar Potential Scattering.. . (URL) (BibTeX)
  7. Broer, W., Waalkens, H., Svetovoy, V.B., Knoester, J. and Palasantzas, G. (2015) Nonlinear actuation dynamics of Casimir oscillators in the presence of surface roughness.. . (URL) (BibTeX)
  8. Morozov, G.V., Sieber, M. and Waalkens, H. (2015) Resonances and emission patterns of optical microdisk resonators with scatterers. In 17th International Conference on Transparent Optical Networks (ICTON), 2015., pages 1-4. (URL) (BibTeX)
  9. \cCift\cci, \"U., Waalkens, H. and Broer, H. W. (2014) Cotangent bundle reduction and Poincar\'e-Birkhoff normal forms.. . (URL) (BibTeX)
  10. \cCift\cci, \"U. and Waalkens, H. (2013) Reaction Dynamics Through Kinetic Transition States.. . (URL) (BibTeX)
  11. \cCift\cci, \"U. and Waalkens, H. (2012) Phase space structures governing reaction dynamics in rotating molecules.. . (URL) (BibTeX)
  12. Dettmann, C.P., Morozov, G.V., Sieber, M. and Waalkens, H. (2011) Microdisk resonators with two point scatterers. In ICTON: 2011 13th International Conference on Transparent Optical Networks., pages 1-3. (URL) (BibTeX)
  13. \cCift\cci, \"U. and Waalkens, H. (2011) Holonomy-reduced dynamics of triatomic molecules.. . (URL) (BibTeX)
  14. Hales, R., Sieber, M. and Waalkens, H. (2011) Trace formula for a dielectric microdisk with a point scatterer.. . (URL) (BibTeX)
  15. Goussev, A., Schubert, R., Waalkens, H. and Wiggins, S. (2010) The flux-flux correlation function for anharmonic barriers.. . (URL) (BibTeX)
  16. Schubert, R., Waalkens, H., Goussev, A. and Wiggins, S. (2010) Periodic-orbit formula for quantum reactions through transition states.. . (URL) (BibTeX)
  17. Goussev, A., Schubert, R., Waalkens, H. and Wiggins, S. (2010) Quantum Theory of Reactive Scattering in Phase Space. In Advances in Quantum Chemistry., pages 269-332. (URL) (BibTeX)
  18. Goussev, A., Schubert, R., Waalkens, H. and Wiggins, S. (2010) A Periodic Orbit Formula for Quantum Reactions Through Transition States. In AIP Conf. Proc.., pages 1593-1596. (URL) (BibTeX)
  19. Waalkens, H. and Wiggins, S. (2010) Geometric Models of the Phase Space Structures Governing Reaction Dynamics.. . (URL) (BibTeX)
  20. Dettmann, C.P., Morozov, G.V., Sieber, M. and Waalkens, H. (2009) Unidirectional emission from circular dielectric microresonators with a point scatterer.. . (URL) (BibTeX)
  21. Dettmann, C.P., Morozov, G.V., Sieber, M. and Waalkens, H. (2009) Systematization of All Resonance Modes in Circular Dielectric Cavities. In ICTON: 2009 11th International Conference on Transparent Optical Networks, Vols 1 and 2., pages 763-766. (URL) (BibTeX)
  22. A. Goussev, R. Schubert, H. Waalkens and S. Wiggins (2009) The Quantum Normal Form Approach to Reactive Scattering: The Cumulative Reaction Probability for Collinear Exchange Reactions.. . (URL) (BibTeX)
  23. Dettmann, C.P., Morozov, G.V., Sieber, M. and Waalkens, H. (2009) Internal and external resonances of dielectric disks.. . (URL) (BibTeX)
  24. Dullin, H.R. and Waalkens, H. (2009) Dullin and Waalkens reply [to comments by Eiglsperger et al. on the phase shift for 2D central scattering].. . (URL) (BibTeX)
  25. Schubert, R., Waalkens, H. and Wiggins, S. (2009) A Quantum Version of Wigner’s Transition State Theory.. . (URL) (BibTeX)
  26. Ezra, G. S., Waalkens, H. and Wiggins, S. (2009) Microcanonical rates, gap times, and phase space dividing surfaces.. . (URL) (BibTeX)
  27. Waalkens, H. (2009) Quantum transition state theory.. . (BibTeX)
  28. Hales, R. and Waalkens, H. (2009) Classical and quantum transport through entropic barriers modeled by hardwall hyperboloidal constrictions.. . (URL) (BibTeX)
  29. Dettmann, C.P., Morozov, G.V., Sieber, M. and Waalkens, H. (2008) TM and TE Directional Modes of an Optical Microdisk Resonator with a Point Scatterer.. In Proceedings of the 10th International Conference on Transparent Optical Networks (ICTON2008)., pages 65-68. (URL) (BibTeX)
  30. Dettmann, C.P., Morozov, G.V., Sieber, M. and Waalkens, H. (2008) Optical Microdisk Resonator with a Small but Finite Size Scatterer.. In Proceedings of the 3rd International Conference on Mathematical Modeling of Wave Phenomena (MMWP08)., pages 287-289. (BibTeX)
  31. H. R. Dullin and H. Waalkens (2008) Nonuniqueness of the phase shift in central scattering due to monodromy.. . (URL) (BibTeX)
  32. C. P. Dettmann, G. V. Morozov, M. Sieber and H. Waalkens (2008) Directional emission from an optical microdisk resonator with a point scatterer.. . (URL) (BibTeX)
  33. H. Waalkens, R. Schubert and S. Wiggins (2008) Wigner's dynamical transition state theory: classical and quantum.. . (URL) (BibTeX)
  34. Dettmann, C.P., Morozov, G.V., Sieber, M. and Waalkens, H. (2007) Far-field emission pattern of a dielectric circular microresonator with a point scatter.. In Ninth International Conference on Transparent Optical Networks (ICTON 2007)., pages 197-200. (URL) (BibTeX)
  35. R. Schubert, H. Waalkens and S. Wiggins (2006) Efficient computation of transition state resonances and reaction rates from a quantum normal form.. . (URL) (BibTeX)
  36. H. Waalkens, A. Burbanks and S. Wiggins (2005) A formula to compute the microcanonical volume of reactive initial conditions in transition state theory.. . (URL) (BibTeX)
  37. H. Waalkens, A. Burbanks and S. Wiggins (2005) Efficient Procedure to Compute the Microcanonical Volume of Initial Conditions that Lead to Escape Trajectories from a Multidimensional Potential Well... . (URL) (BibTeX)
  38. H. Waalkens, A. Burbanks and S. Wiggins (2005) Escape from planetary neighbourhoods.. . (URL) (BibTeX)
  39. H. Waalkens (2005) Quantized conductance through an asymmetric narrow constriction in a three-dimensional electron gas.. . (URL) (BibTeX)
  40. H. R. Dullin, J. M. Robbins, H. Waalkens, S. C. Creagh and G. Tanner (2005) Maslov indices and monodromy.. . (URL) (BibTeX)
  41. H. Waalkens and S. Wiggins (2004) Direct construction of a dividing surface of minimal flux for multi-degree-of-freedom systems that cannot be recrossed.. . (URL) (BibTeX)
  42. H. Waalkens, A. Burbanks and S. Wiggins (2004) Phase space conduits for reaction in multidimensional systems: HCN isomerization in three dimensions.. . (URL) (BibTeX)
  43. H. Waalkens, A. Burbanks and S. Wiggins (2004) A computational procedure to detect a new type of high-dimensional chaotic saddle and its application to the 3D Hill's problem.. . (URL) (BibTeX)
  44. H. Waalkens, H. R. Dullin and P. H. Richter (2004) The problem of two fixed centers: bifurcations, actions, monodromy.. . (URL) (BibTeX)
  45. Waalkens, H., Junge, A. and Dullin, H. R. (2003) Quantum monodromy in the two center-problem.. . (URL) (BibTeX)
  46. H. Waalkens (2002) Quantum monodromy in trapped Bose condensates.. . (URL) (BibTeX)
  47. H. Waalkens, C. Jung and H. S. Taylor (2002) Semiclassical assignment of the vibrational spectrum of N$_2$O.. . (URL) (BibTeX)
  48. H. Waalkens and H. R. Dullin (2002) Quantum Monodromy in Prolate Ellipsoidal Billiards.. . (BibTeX)
  49. Dullin, H. R., Richter, P. H., Veselov, A. and Waalkens, H. (2001) Actions of the Neumann system via Picard-Fuchs equations.. . (BibTeX)
  50. H. Waalkens (1999) Elliptic and Ellipsoidal Quantum Billiards. Shaker Verlag, Aachen. (URL) (BibTeX)
  51. H. Waalkens, J. Wiersig and H. R. Dullin (1999) Triaxial Ellipsoidal Quantum Billiards.. . (BibTeX)
  52. H. Waalkens, J. Wiersig and H. R. Dullin (1997) The Elliptic Quantum Billiard.. . (BibTeX)
  53. P. H. Richter, H. R. Dullin, H. Waalkens and J. Wiersig (1996) Spherical Pendulum, Actions and Spin.. . (URL) (BibTeX)
  54. Dullin, H. R., Heudecker, O., Juhnke, M. and Pleteit, H., Schwebler, H.-P., Waalkens, H., Wiersig, J. and Wittek, A. (1997) Energy Surfaces in Action Space. Report 406, Institut f{\"u}r Dynamische Systeme. (BibTeX)
  55. Waalkens, H. (1995) Semiklassische Berechnung chemischer Bindungen. Master's thesis. (BibTeX)