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1

The problem of two fixed centers: bifurcations, actions, monodromy

Holger Waalkens, Holger R. Dullin, Peter H. Richter

Journal:

Physica D: Nonlinear Phenomena

Year:

2004

Language:

english

File:

PDF, 1.13 MB

english, 2004

2

Cotangent bundle reduction and Poincaré–Birkhoff normal forms

Çiftçi, Ünver, Waalkens, Holger, Broer, Henk W.

Journal:

Physica D: Nonlinear Phenomena

Year:

2014

Language:

english

File:

PDF, 579 KB

english, 2014

3

Non-Abelian nature of systems with multiple exceptional points

Pap, Eric J., Boer, Daniël, Waalkens, Holger

Journal:

Physical Review A

Year:

2018

Language:

english

File:

PDF, 1.17 MB

english, 2018

4

Elliptic Quantum Billiard

Holger Waalkens, Jan Wiersig, Holger R. Dullin

Journal:

Annals of Physics

Year:

1997

Language:

english

File:

PDF, 912 KB

english, 1997

5

Triaxial Ellipsoidal Quantum Billiards

Holger Waalkens, Jan Wiersig, Holger R. Dullin

Journal:

Annals of Physics

Year:

1999

Language:

english

File:

PDF, 815 KB

english, 1999

6

Quantum Monodromy in Prolate Ellipsoidal Billiards

Holger Waalkens, Holger R. Dullin

Journal:

Annals of Physics

Year:

2002

Language:

english

File:

PDF, 554 KB

english, 2002

7

Actions of the Neumann systems via Picard–Fuchs equations

Holger R. Dullin, Peter H. Richter, Alexander P. Veselov, Holger Waalkens

Journal:

Physica D: Nonlinear Phenomena

Year:

2001

Language:

english

File:

PDF, 343 KB

english, 2001

8

Periodic-orbit formula for quantum reactions through transition states

Schubert, Roman, Waalkens, Holger, Goussev, Arseni, Wiggins, Stephen

Journal:

Physical Review A

Year:

2010

Language:

english

File:

PDF, 374 KB

english, 2010

9

Dullin and Waalkens Reply:

Dullin, Holger, Waalkens, Holger

Journal:

Physical Review Letters

Year:

2009

Language:

english

File:

PDF, 68 KB

english, 2009

10

Reaction Dynamics Through Kinetic Transition States

Çiftçi, Ünver, Waalkens, Holger

Journal:

Physical Review Letters

Year:

2013

Language:

english

File:

PDF, 692 KB

english, 2013

11

The quantum normal form approach to reactive scattering: The cumulative reaction probability for collinear exchange reactions

Goussev, Arseni, Schubert, Roman, Waalkens, Holger, Wiggins, Stephen

Journal:

The Journal of Chemical Physics

Year:

2009

Language:

english

File:

PDF, 388 KB

english, 2009

12

Semiclassical Assignment of the Vibrational Spectrum of N 2 O

Waalkens, Holger, Jung, Christof, Taylor, Howard S.

Journal:

Journal of Physical Chemistry A

Year:

2002

Language:

english

File:

PDF, 454 KB

english, 2002

13

Nonuniqueness of the Phase Shift in Central Scattering due to Monodromy

Dullin, Holger R., Waalkens, Holger

Journal:

Physical Review Letters

Year:

2008

Language:

english

File:

PDF, 235 KB

english, 2008

14

Efficient Computation of Transition State Resonances and Reaction Rates from a Quantum Normal Form

Schubert, Roman, Waalkens, Holger, Wiggins, Stephen

Journal:

Physical Review Letters

Year:

2006

Language:

english

File:

PDF, 897 KB

english, 2006

15

Phase space conduits for reaction in multidimensional systems: HCN isomerization in three dimensions

Waalkens, Holger, Burbanks, Andrew, Wiggins, Stephen

Journal:

The Journal of Chemical Physics

Year:

2004

Language:

english

File:

PDF, 1.96 MB

english, 2004

16

Quantized conductance through an asymmetric narrow constriction in a three-dimensional electron gas

Waalkens, Holger

Journal:

Physical Review B

Year:

2005

Language:

english

File:

PDF, 656 KB

english, 2005

17

Efficient Procedure to Compute the Microcanonical Volume of Initial Conditions that Lead to Escape Trajectories from a Multidimensional Potential Well

Waalkens, Holger, Burbanks, Andrew, Wiggins, Stephen

Journal:

Physical Review Letters

Year:

2005

Language:

english

File:

PDF, 477 KB

english, 2005

18

Microcanonical rates, gap times, and phase space dividing surfaces

Ezra, Gregory S., Waalkens, Holger, Wiggins, Stephen

Journal:

The Journal of Chemical Physics

Year:

2009

Language:

english

File:

PDF, 1.25 MB

english, 2009

19

Wigner's dynamical transition state theory in phase space: classical and quantum

Waalkens, Holger, Schubert, Roman, Wiggins, Stephen

Journal:

Year:

2008

Language:

english

File:

PDF, 1.99 MB

english, 2008

20

Phase space structures governing reaction dynamics in rotating molecules

Çiftçi, Ünver, Waalkens, Holger

Journal:

Year:

2012

Language:

english

File:

PDF, 2.37 MB

english, 2012

21

The flux-flux correlation function for anharmonic barriers

Goussev, Arseni, Schubert, Roman, Waalkens, Holger, Wiggins, Stephen

Journal:

The Journal of Chemical Physics

Year:

2010

Language:

english

File:

PDF, 556 KB

english, 2010

22

Holonomy-reduced dynamics of triatomic molecules

Çiftçi, Ünver, Waalkens, Holger

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2011

Language:

english

File:

PDF, 117 KB

english, 2011

23

Spherical Pendulum, Actions, and Spin †

Richter, Peter H., Dullin, Holger R., Waalkens, Holger, Wiersig, Jan

Journal:

Journal of Physical Chemistry

Year:

1996

Language:

english

File:

PDF, 867 KB

english, 1996

24

Nonlinear Actuation Dynamics of Driven Casimir Oscillators with Rough Surfaces

Broer, Wijnand, Waalkens, Holger, Svetovoy, Vitaly B., Knoester, Jasper, Palasantzas, George

Journal:

Physical Review Applied

Year:

2015

Language:

english

File:

PDF, 818 KB

english, 2015

25

Preface

Hanßmann, Heinz, Hoveijn, Igor, van Strien, Sebastian, Waalkens, Holger

Journal:

Indagationes Mathematicae

Year:

2016

Language:

english

File:

PDF, 237 KB

english, 2016

26

Knauf’s degree and monodromy in planar potential scattering

Martynchuk, Nikolay, Waalkens, Holger

Journal:

Regular and Chaotic Dynamics

Year:

2016

Language:

english

File:

PDF, 710 KB

english, 2016

27

Defect in the Joint Spectrum of Hydrogen due to Monodromy

Dullin, Holger R., Waalkens, Holger

Journal:

Physical Review Letters

Year:

2018

Language:

english

File:

PDF, 876 KB

english, 2018

28

Dependence of chaotic actuation dynamics of Casimir oscillators on optical properties and electrostatic effects

Tajik, Fatemeh, Sedighi, Mehdi, Masoudi, Amir Ali, Waalkens, Holger, Palasantzas, George

Journal:

The European Physical Journal B / Condensed Matter and Complex Systems

Year:

2018

Language:

english

File:

PDF, 2.69 MB

english, 2018

29

The phase space geometry underlying roaming reaction dynamics

Krajňák, Vladimír, Waalkens, Holger

Journal:

Journal of Mathematical Chemistry

Year:

2018

Language:

english

File:

PDF, 3.05 MB

english, 2018

30

Chaotic dynamics from a pseudo-linear system

Ghane, Hamed, Sterk, Alef E, Waalkens, Holger

Journal:

IMA Journal of Mathematical Control and Information

Year:

2019

Language:

english

File:

PDF, 1.74 MB

english, 2019

31

A Lagrangian fibration of the isotropic 3-dimensional harmonic oscillator with monodromy

Chiscop, Irina, Dullin, Holger R., Efstathiou, Konstantinos, Waalkens, Holger

Journal:

Journal of Mathematical Physics

Year:

2019

File:

PDF, 2.28 MB

2019

32

Phase space structures causing the reaction rate decrease in the collinear hydrogen exchange reaction

Krajňák, Vladimír, Waalkens, Holger

Journal:

Journal of Mathematical Chemistry

Year:

2019

File:

PDF, 6.44 MB

2019

33

Dynamics Associated with the Normally Hyperbolic Invariant Manifold that Governs the Ionization of Hydrogen in a Circularly Polarized Electric Field

Jung, Christof, Waalkens, Holger

Journal:

International Journal of Bifurcation and Chaos

Year:

2020

File:

PDF, 6.17 MB

2020

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