Publications
Preprints
Çiftçi, Ü. & Waalkens, H. 2011
Phase space structures governing reaction dynamics in rotating molecules. arXiv:1105.4180. (to appear in Nonlinearity)
Journal Papers and Conference Proceedings
Dettmann, C. P., Morozov, G. V., Sieber, M. & Waalkens, H. 2011
Microdisk resonantors with two point scatterers. Proceedings of the 13th International Conference on Transparent Optical Networks (ICTON2012) , 1-3.
Çiftçi, Ü. & Waalkens, H. 2011
Holonomy reduced dynamics of triatomic molecules. J. Phys. A. 44, 165202.
Hales, R., Sieber, M. & Waalkens, H. 2011
Trace formula for a dielectric disk with a point scatterer. J. Phys. A. 44, 155305.
Goussev, A., Schubert, R., Waalkens, H. & Wiggins, S. 2010
The Flux-Flux Correlation Function for Anharmonic Barriers. J. Chem. Phys. 133, 244113.
Schubert, R., Waalkens, H., Goussev, A. & Wiggins, S. 2010
Periodic-orbit formula for quantum reactions through transition states. Phys. Rev. A 82, 012707.
Goussev, A., Schubert, R., Waalkens, H., & Wiggins, S. 2010
Quantum Theory of Reactive Scattering in Phase Space. Advances in Quantum Chemistry 60, 269-332.
Goussev, A., Schubert, R., Waalkens, H. & Wiggins, S. 2010
A periodic-orbit formula for quantum reactions through transition states. AIP Conf. Proc. 1281 , 1593-1596.
Waalkens, H. & Wiggins, S. 2010
Geometric Models of the Phase Space Structures Governing Reaction Dynamics. Reg. Chaot. Dyn. 15, 1-39.
Dettmann, C. P., Morozov, G. V., Sieber, M. & Waalkens, H. 2009
Unidirectional emission from circular dielectric microresonators with a point scatterer.
Phys. Rev. A 80, 063813.
(Figure 13 featured on Phys. Rev. A Kaleidoscope Images.)
Dettmann, C. P., Morozov, G. V., Sieber, M. & Waalkens, H. 2009
Systematization of All Resonance Modes in Circular Dielectric Cavities. Proceedings of the 11th International Conference on Transparent Optical Networks (ICTON2009) 1+2, 763-766.
Goussev, A., Schubert, R., Waalkens, H. & Wiggins, S. 2009
The Quantum Normal Form Approach to Reactive Scattering: The Cumulative Reaction Probability for Collinear Exchange Reactions. J. Chem. Phys. 131, 144103.
Dettmann, C. P., Morozov, G. V., Sieber, M. & Waalkens, H. 2009
Internal and External Resonances of a Dielectric Disk. Europhys. Lett. 87, 34003.
Dullin, H. & Waalkens, H. 2009
Reply to Comment on "Nonuniqueness of the Phase Shift in Central Scattering due to Monodromy" (Phys. Rev. Lett. 101, 070405 (2008)). Phys. Rev. Lett. 102, 188902.
Schubert, R., Waalkens, H. & Wiggins, S. 2009
A Quantum Version of Wigner's Transition State Theory. Few-Body Systems 45, 203-206.
Ezra, G. S., Waalkens, H. & Wiggins, S. 2009
Microcanonical rates, gap times, and phase space dividing surfaces. J. Chem. Phys. 130, 164118.
Hales, R. & Waalkens, H. 2009
Classical and Quantum Transport Through Entropic Barriers Modelled by Hardwall Hyperboloidal Constrictions. Ann. Phys. (NY) 324, 1408-1451.
Dettmann, C. P., Morozov, G. V., Sieber, M. & Waalkens, H. 2008
TM and TE Directional Modes of an Optical Microdisk Resonator with a Point Scatterer. Proceedings of the 10th International Conference on Transparent Optical Networks (ICTON2008) 4, 65-68.
Dettmann, C. P., Morozov, G. V., Sieber, M. & Waalkens, H. 2008
Optical Microdisk Resonator with a Small but Finite Size Scatterer. Proceedings of the 3rd International Conference on Mathematical Modeling of Wave Phenomena (MMWP08), 287-289.
Dullin, H. R. & Waalkens, H. 2008
Nonuniqueness of the Phase Shift in Central Scattering due to Monodromy. Phys. Rev. Lett. 101, 070405.
Dettmann, C. P., Morozov, G. V., Sieber, M. & Waalkens, H. 2008
Directional Emission from an Optical Microdisk Resonator with a Point Scatterer. Europhys. Lett. 82, 34002.
Waalkens, H., Schubert, R., & Wiggins, S. 2008
Wigner's Dynamical Transition State Theory in Phase Space: Classical and
Quantum. Nonlinearity 21, R1-R118.
Dettmann, C.P., Morozov, G.V., Sieber M.M.A. & Waalkens, H. 2007
Far-field emission pattern of a dielectric circular microresonator with a point scatterer. Ninth International Conference on Transparent Optical Networks (ICTON 2007) 4, 197-200.
Schubert, R., Waalkens, H. & Wiggins, S. 2006 Efficient computation of transition state resonances and
reaction rates from a quantum normal form. Phys. Rev. Lett.
96, 218302.
Waalkens, H., Burbanks, A. & Wiggins, S. 2005 A formula to compute the microcanonical volume of reactive initial conditions in transition state theory. J. Phys. A 38, L759-L768.
Waalkens, H., Burbanks, A. & Wiggins, S. 2005 Efficient Procedure to Compute the Microcanonical Volume of Initial Conditions that Lead to Escape Trajectories from a Multidimensional Potential Well. Phys. Rev. Lett. 95, 084301.
Waalkens, H., Burbanks, A. & Wiggins, S. 2005 Escape from planetary neighbourhoods. Mon. Not. R. Astr. Soc. 361, 763-775.
Waalkens, H. 2005 Quantized conductance through an asymmetric narrow constriction in a three-dimensional electron gas. Phys. Rev. B 71, 035335.
Dullin, H. R., Robbins, J. M, Waalkens, H., Creagh, S. C. & Tanner, G. 2005 Maslov indices and monodromy. J. Phys. A 38, L443-L447.
Waalkens, H. & Wiggins, S. 2004 Direct construction of a dividing surface of minimal flux for
multi-degree-of-freedom systems that cannot be recrossed. J. Phys. A 37, L435-L445.
Waalkens, H., Burbanks, A. & Wiggins, S. 2004 Phase space conduits for reaction in multidimensional systems: HCN isomerization in three dimensions. J. Chem. Phys. 121, 6207-6225.
Waalkens, H., Burbanks, A. & Wiggins, S. 2004 A computational procedure to detect a new type of high-dimensional chaotic saddle and its application to the 3D Hill's problem. J. Phys. A 37, L257-L265.
Waalkens, H., Dullin, H. R. & Richter, P. H. 2004 The problem of two fixed centers: bifurcations, actions, monodromy. Physica D 196, 265-310.
Waalkens, H., Junge, A. & Dullin, H. R. 2003 Quantum monodromy in the two-centre problem. J. Phys. A 36, L307-L314.
Waalkens, H. 2002 Quantum monodromy in trapped Bose condensates. Europhys. Lett. 58, 162-168.
Waalkens, H., Jung, C. & Taylor, H. S. 2002 Semiclassical Assignment of the Vibrational Spectrum of N2O . J. Phys. Chem. A 106, 911-924.
Dullin, H. R., Richter, P. H., Veselov, A. P. & Waalkens, H. 2001 Actions of the Neumann systems via Picard-Fuchs equations. Physica D 155, 159-183.
Waalkens, H. & Dullin, H. R. 2002 Quantum Monodromy in Prolate Ellipsoidal Billiards. Ann. Phys. (NY) 295, 81-112.
Waalkens, H., Wiersig, J. & Dullin, H. R. 1999 Triaxial Ellipsoidal Quantum Billiards. Ann. Phys. (NY) 276, 64-110.
Waalkens, H., Wiersig, J. & Dullin, H. R. 1997 Elliptic Quantum Billiard. Ann. Phys. (NY) 260, 50-90.
Richter, P. H., Dullin, H. R., Waalkens, H. & Wiersig, J. 1996 Spherical Pendulum, Actions, and Spin. J. Phys. Chem. 100, 19124-19135.
Dullin, H. R., Heudecker, O., Juhnke, M., Pleteit, H., Schwebler, J.-P., Waalkens, H., Wiersig, J. & Wittek, A. 1997 Energy surfaces in action space. Report 406 Institut für Dynamische Systeme (Universität Bremen) .
Books
Waalkens, H. Elliptic and Ellipsoidal Quantum Billiards. (Shaker Verlag, Aachen, 1999).
