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Author ID: waalkens.holger Recent zbMATH articles by "Waalkens, Holger"
Published as: Waalkens, Holger; Waalkens, H.

Publications by Year

Citations contained in zbMATH Open

24 Publications have been cited 180 times in 116 Documents Cited by Year
Wigner’s dynamical transition state theory in phase space: Classical and quantum. Zbl 1153.81017
Waalkens, Holger; Schubert, Roman; Wiggins, Stephen
34
2008
The problem of two fixed centers: bifurcations, actions, monodromy. Zbl 1098.70515
Waalkens, Holger; Dullin, Holger R.; Richter, Peter H.
29
2004
Direct constructions of a dividing surface of minimal flux for multi-degree-of-freedom systems that cannot be recrossed. Zbl 1060.37046
Waalkens, H.; Wiggins, S.
22
2004
Quantum monodromy in prolate ellipsoidal billiards. Zbl 1001.37042
Waalkens, Holger; Dullin, Holger R.
11
2002
Geometrical models of the phase space structures governing reaction dynamics. Zbl 1229.37046
Waalkens, H.; Wiggins, S.
11
2010
Actions of the Neumann systems via Picard-Fuchs equations. Zbl 1001.70013
Dullin, Holger R.; Richter, Peter H.; Veselov, Alexander P.; Waalkens, Holger
9
2001
Nonuniqueness of the phase shift in central scattering due to monodromy. Zbl 1228.81263
Dullin, Holger R.; Waalkens, Holger
9
2008
The phase space geometry underlying roaming reaction dynamics. Zbl 1401.92231
Krajňák, Vladimír; Waalkens, Holger
7
2018
Quantum monodromy in the two-centre problem. Zbl 1038.81069
Waalkens, H.; Junge, A.; Dullin, H. R.
7
2003
A formula to compute the microcanonical volume of reactive initial conditions in transition state theory. Zbl 1077.82005
Waalkens, H.; Burbanks, A.; Wiggins, S.
6
2005
Elliptic quantum billiard. Zbl 0929.37008
Waalkens, Holger; Wiersig, Jan; Dullin, Holger R.
5
1997
Scattering invariants in Euler’s two-center problem. Zbl 1410.37058
Martynchuk, N.; Dullin, H. R.; Efstathiou, K.; Waalkens, H.
4
2019
Knauf’s degree and monodromy in planar potential scattering. Zbl 1368.37066
Martynchuk, Nikolay; Waalkens, Holger
4
2016
Phase space structures governing reaction dynamics in rotating molecules. Zbl 1237.70024
Çiftçi, Ünver; Waalkens, Holger
4
2012
Critical points of the integral map of the charged three-body problem. Zbl 1433.70018
Hoveijn, I.; Waalkens, H.; Zaman, M.
3
2019
Triaxial ellipsoidal quantum billiards. Zbl 0962.81016
Waalkens, Holger; Wiersig, Jan; Dullin, Holger R.
2
1999
Cotangent bundle reduction and Poincaré-Birkhoff normal forms. Zbl 1417.37192
Çiftçi, Ünver; Waalkens, Holger; Broer, Henk W.
2
2014
Maslov indices and monodromy. Zbl 1181.37085
Dullin, H. R.; Robbins, J. M.; Waalkens, H.; Creagh, S. C.; Tanner, G.
2
2005
A unified view on geometric phases and exceptional points in adiabatic quantum mechanics. Zbl 1484.81050
Pap, Eric J.; Boer, Daniël; Waalkens, Holger
2
2022
Chaotic dynamics from a pseudo-linear system. Zbl 1447.93136
Ghane, Hamed; Sterk, Alef E.; Waalkens, Holger
2
2020
Dynamics associated with the normally hyperbolic invariant manifold that governs the ionization of hydrogen in a circularly polarized electric field. Zbl 1448.37072
Jung, Christof; Waalkens, Holger
2
2020
Holonomy-reduced dynamics of triatomic molecules. Zbl 1385.70038
Çiftçi, Ünver; Waalkens, Holger
1
2011
Critical points at infinity in charged \(N\)-body systems. Zbl 1517.81047
Hoveijn, I.; Waalkens, H.; Zaman, M.
1
2023
Phase space structures causing the reaction rate decrease in the collinear hydrogen exchange reaction. Zbl 1432.92118
Krajňák, Vladimír; Waalkens, Holger
1
2020
Critical points at infinity in charged \(N\)-body systems. Zbl 1517.81047
Hoveijn, I.; Waalkens, H.; Zaman, M.
1
2023
A unified view on geometric phases and exceptional points in adiabatic quantum mechanics. Zbl 1484.81050
Pap, Eric J.; Boer, Daniël; Waalkens, Holger
2
2022
Chaotic dynamics from a pseudo-linear system. Zbl 1447.93136
Ghane, Hamed; Sterk, Alef E.; Waalkens, Holger
2
2020
Dynamics associated with the normally hyperbolic invariant manifold that governs the ionization of hydrogen in a circularly polarized electric field. Zbl 1448.37072
Jung, Christof; Waalkens, Holger
2
2020
Phase space structures causing the reaction rate decrease in the collinear hydrogen exchange reaction. Zbl 1432.92118
Krajňák, Vladimír; Waalkens, Holger
1
2020
Scattering invariants in Euler’s two-center problem. Zbl 1410.37058
Martynchuk, N.; Dullin, H. R.; Efstathiou, K.; Waalkens, H.
4
2019
Critical points of the integral map of the charged three-body problem. Zbl 1433.70018
Hoveijn, I.; Waalkens, H.; Zaman, M.
3
2019
The phase space geometry underlying roaming reaction dynamics. Zbl 1401.92231
Krajňák, Vladimír; Waalkens, Holger
7
2018
Knauf’s degree and monodromy in planar potential scattering. Zbl 1368.37066
Martynchuk, Nikolay; Waalkens, Holger
4
2016
Cotangent bundle reduction and Poincaré-Birkhoff normal forms. Zbl 1417.37192
Çiftçi, Ünver; Waalkens, Holger; Broer, Henk W.
2
2014
Phase space structures governing reaction dynamics in rotating molecules. Zbl 1237.70024
Çiftçi, Ünver; Waalkens, Holger
4
2012
Holonomy-reduced dynamics of triatomic molecules. Zbl 1385.70038
Çiftçi, Ünver; Waalkens, Holger
1
2011
Geometrical models of the phase space structures governing reaction dynamics. Zbl 1229.37046
Waalkens, H.; Wiggins, S.
11
2010
Wigner’s dynamical transition state theory in phase space: Classical and quantum. Zbl 1153.81017
Waalkens, Holger; Schubert, Roman; Wiggins, Stephen
34
2008
Nonuniqueness of the phase shift in central scattering due to monodromy. Zbl 1228.81263
Dullin, Holger R.; Waalkens, Holger
9
2008
A formula to compute the microcanonical volume of reactive initial conditions in transition state theory. Zbl 1077.82005
Waalkens, H.; Burbanks, A.; Wiggins, S.
6
2005
Maslov indices and monodromy. Zbl 1181.37085
Dullin, H. R.; Robbins, J. M.; Waalkens, H.; Creagh, S. C.; Tanner, G.
2
2005
The problem of two fixed centers: bifurcations, actions, monodromy. Zbl 1098.70515
Waalkens, Holger; Dullin, Holger R.; Richter, Peter H.
29
2004
Direct constructions of a dividing surface of minimal flux for multi-degree-of-freedom systems that cannot be recrossed. Zbl 1060.37046
Waalkens, H.; Wiggins, S.
22
2004
Quantum monodromy in the two-centre problem. Zbl 1038.81069
Waalkens, H.; Junge, A.; Dullin, H. R.
7
2003
Quantum monodromy in prolate ellipsoidal billiards. Zbl 1001.37042
Waalkens, Holger; Dullin, Holger R.
11
2002
Actions of the Neumann systems via Picard-Fuchs equations. Zbl 1001.70013
Dullin, Holger R.; Richter, Peter H.; Veselov, Alexander P.; Waalkens, Holger
9
2001
Triaxial ellipsoidal quantum billiards. Zbl 0962.81016
Waalkens, Holger; Wiersig, Jan; Dullin, Holger R.
2
1999
Elliptic quantum billiard. Zbl 0929.37008
Waalkens, Holger; Wiersig, Jan; Dullin, Holger R.
5
1997
all top 5

Cited by 140 Authors

21 Wiggins, Stephen R.
14 Waalkens, Holger
11 Efstathiou, Konstantinos
10 Dullin, Holger R.
7 Katsanikas, Matthaios
6 Martynchuk, Nikolay N.
6 Naik, Shibabrat
5 Broer, Henk W.
5 García-Garrido, Víctor J.
5 Jung, Christof
5 Krajňák, Vladimír
5 Zhilinskií, Boris I.
4 Agaoglou, Makrina
4 Ezra, Gregory S.
4 Gonzalez Montoya, Francisco
4 Kim, Seongchan
4 Main, Jörg
4 Sadovskií, Dmitrií A.
3 Bäcker, Arnd
3 Cushman, Richard H.
3 Dragović, Vladimir
3 Hernandez, Rigoberto
3 Radnović, Milena
3 Reiff, Johannes
2 Bolsinov, Alexey V.
2 Davison, Chris M.
2 Dietz, Barbara
2 Giacobbe, Andrea
2 Hanßmann, Heinz
2 Hoveijn, Igor
2 Ketzmerick, Roland
2 Lange, Steffen
2 Lyu, Wenyang
2 Mardešić, Pavao
2 Meiss, James D.
2 Novak, Tina
2 Onken, Franziska
2 Sugny, Dominique
2 Tsyganov, Andreĭ Vladimirovich
2 Veselov, Alexander Petrovich
2 Zotos, Euaggelos E.
1 Aguilar-Sanjuan, Broncio
1 Arenson, Joshua G.
1 Ariel, Gil
1 Bardakcioglu, Robin
1 Blazevski, Daniel
1 Borisov, Alekseĭ Vladimirovich
1 Brezhnev, Yurii V.
1 Burby, Joshua W.
1 Casas, Pablo S.
1 Castelli, Roberto
1 Chen, Wei
1 Chiscop, Irina
1 Çiftçi, Ünver
1 Collins, Peter J.
1 de la Llave, Rafael
1 de la Torre Mayado, Marina
1 Enolskiĭ, Viktor Zelikovich
1 Fedorov, Yuri N.
1 Feldmaier, Matthias
1 Franklin, Jennifer
1 Fring, Andreas
1 Gaiko, Valery A.
1 García Rodríguez, José Antonio
1 González León, Miguel Angel
1 Grava, Tamara
1 Guzzo, Massimiliano
1 Haigh, Douglas
1 Hales, Robert F. M.
1 Hao, Qingyi
1 Hezari, Hamid
1 Hillebrand, Malcolm
1 Hsieh, Wen-Yuan
1 Huang, Liang
1 Jauslin, Hans-Rudolf
1 Jebrane, Ahmed
1 Jiménez-Lara, Lidia
1 Junginger, Andrej
1 Keshavamurthy, Srihari
1 Komatsuzaki, Tamiki
1 Kuchelmeister, Manuel
1 Liang, Yew-Wen
1 Lin, Bohuan
1 Lin, Li-Gang
1 Llibre, Jaume
1 MacKay, Robert Sinclair
1 Maier, Rodrigo
1 Mandell, Cate
1 Mateos Guilarte, Juan
1 Mauguière, Frédéric A. L.
1 Merlo, Olivier
1 Mitchell, Kevin A.
1 Miyashita, Saki
1 Mizuno, Yuta
1 Mögerle, Johannes
1 Nagahata, Yutaka
1 Nekhoroshev, Nikolaĭ Nikolaevich
1 Páez, Rocío Isabel
1 Pandey, Priyanka
1 Pantazi, Chara
...and 40 more Authors

Citations by Year