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Dr Holger Waalkens
Funding
EPSRC (EP/E024629/1) Quantum Transition State Theory.
EPSRC (EP/C515137/1) Asymptotic and numerical approaches to the theory of optical microresonators and microlasers. (with C. Dettmann and M. Sieber)
DFG (Wa 1590/1-1) Untersuchung von Transport und Energietransfer in mehratomigen Molekülen mit Hilfe einer verallgemeinerten Transition State Theory und einer dynamischen Frequenzanalyse.
Publications
Preprints
- Dettmann, C. P., Morozov, G. V., Sieber, M. & Waalkens, H. 2007
Directional Emission from an Optical Microdisk Resonator with a Point Scatterer. arXiv:0705.3211.
Journal Papers
- Waalkens, H., Schubert, R., & Wiggins, S. 2008
Wigner's Dynamical Transition State Theory in Phase Space: Classical and
Quantum. Nonlinearity 21, R1-R118 (invited paper).
- 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).
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