Publications (Caroline Lasser)

Preprints

• with P. Bergold: The Gaussian wave packet transform via quadrature rules, e-print at arXiv:2010.03478 
• with S. Kvaal, T. Pedersen, L. Adamowicz: No need for a grid: Adaptive fully-flexible gaussians for the time-dependent Schrödinger equation, e-print at arXiv:2207.00271 
• with R. Carles, C. Fermanian-Kammerer: On the Cauchy problem for the Hartree approximation in quantum dynamics, e-print at arXiv:2207.13928 
• with F. Kröninger, J. Vanicek: Sampling strategies for the Herman-Kluk propagator of the wavefunction, e-print at arXiv:2211.13666 

Reviews

• with C. Lubich: Computing quantum dynamics in the semiclassical regime. Acta Numerica, Volume 29, pp. 229-401 (May 2020), DOI 10.1017/S0962492920000033 

Books

• with O. Deiser, E. Vogt, D. Werner: 12 x 12 Schlüsselkonzepte zur Mathematik, Springer (2011, 2016)
  Contents, ebook at SpringerLink 
• with O. Deiser: Erste Hilfe in Linearer Algebra  (First edition at Springer, 2015)

Peer-reviewed journals in mathematics (since 2020)

• with P. Bergold: An Error Bound for the Time-Sliced Thawed Gaussian Propagation Method, Num. Math., DOI 10.1007/s00211-022-01319-7 , e-print at arXiv:2108.12182 
• with C. Su, Various variational approximations of quantum dynamics, J. Math. Phys. 63, 072107 (2022), DOI 10.1063/5.0088265 , e-print at arXiv:2103.11783 
• with I. Burghardt, R. Carles, C. Fermanian Kammerer, B. Lasorne: Dynamical approximations for composite quantum systems: Assessment of error estimates for a separable ansatz, J. Phys. A: Math Theor. 55, 224010 (2022), DOI 10.1088/1751-8121/ac6841 , e-print at arXiv:2112.06915 
• with I. Burghardt, R. Carles, C. Fermanian Kammerer, B. Lasorne: Dynamical approximations for composite quantum systems, J. Phys. A: Math. Theor. 54, 414002 (2021), DOI 10.1088/1751-8121/ac219d , e-print at arXiv:2012.08373 
• with C. Fermanian Kammerer, D. Robert: Propagation of wave packets for systems presenting codimension one crossings, Comm. Math. Phys. 385(3), pp. 1695-1739 (2021), DOI 10.1007/s00220-021-04147-2 , e-print at arXiv:2001.07484 
• with C. Fermanian Kammerer, D. Robert: Adiabatic and non-adiabatic evolution of wave packets and applications to initial value representations, to appear in Partial Differential Equations, Spectral Theory, and Mathematical Physics. The Ari Laptev Anniversary Volume (EMS, June 2021), e-print at arXiv:2011.01618 
• with P. Bergold: Fourier series windowed by a bump function, J. Fourier An. Appl. 26, article number 65 (2020), DOI 10.1007/s00041-020-09773-3 , e-print at arXiv:1901.04365 

Peer-reviewed journals in chemistry/physics

• with L. Adamowicz, S. Kvaal, T. Pedersen: Laser-induced dynamic alignment of the HD molecule without the Born-Oppenheimer approximation, J. Chem. Phys. 157, 144302 (2022), e-print at arXiv:2205.15229  DOI 10.1063/5.0101352 
• with A. Belyaev, W. Domcke, G. Trigila: Nonadiabatic nuclear dynamics of the ammonia cation studied by surface hopping classical trajectory calculations, J. Chem. Phys. 142, 104307, 10 pages (2015), e-print at arXiv:1412.3047  DOI 10.1063/1.4913962 
• with J. Keller: Quasi-classical description of molecular dynamics based on Egorov's theorem
  J. Chem. Phys. 141, 054104, 11 pages, (2014), e-print at arXiv:1405.7355  DOI 10.1063/1.4891517 
• with A. Belyaev, G. Trigila: Landau-Zener type surface hopping algorithms
  J. Chem. Phys. 140, 224108, 11 pages (2014), e-print at arXiv:1403.4859 , DOI 10.1063/1.4882073 
• with C. Fermanian Kammerer: Single switch surface hopping for molecular quantum dynamics
  J. Math. Chem. 50(3), pp. 620-635 (2012), preprint, DOI 10.1007/s10910-011-9816-5 
• with A. Kenfack, F. Marquardt, G. Paramonov, I. Barth, B. Paulus: Initial state dependence of coupled electronic and nuclear fluxes in molecules
  Phys. Rev. A 81, 052502, 7 pages (2010), preprint, DOI 10.1103/PhysRevA.81.052502  
• with I. Barth: Trigonometric pulse envelopes for laser induced quantum dynamics
  J. Phys. B: At. Mol. Opt. Phys. 42, 235101, 8 pages (2009), preprint, DOI 10.1088/0953-4075/42/23/235101  
• with T. Swart: Single switch surface hopping for a model of pyrazine
  J. Chem. Phys. 129, pp. 034302, 8 pages (2008), preprint, DOI 10.1063/1.2954019  
• with C. Fermanian Kammerer: Single switch surface hopping for molecular dynamics with transitions
  J. Chem. Phys. 128, pp. 144102, 9 pages (2008), preprint, DOI 10.1063/1.2888549  

Peer-reviewed journals in mathematics (before 2020)

• with K. Kormann, Y. Yurova: Stable interpolation with isotropic and anisotropic Gaussians using Hermite generating function, SIAM J. Sci. Comput. 41(6), pp. 3839-3859 (2019), DOI 10.1137/19M1262449 , e-print at arXiv:1905.09542 
• with R. Schubert, S. Troppmann: Non-Hermitian propagation of Hagedorn wavepackets, J. Math. Phys. 59, pp. 082102, 35 pages (2018), DOI 10.1063/1.5026043 , e-print at arXiv:1507.02858 
• with G. Hagedorn: Symmetric Kronecker products and semiclassical wave packets
  SIAM J. Matr. An. 38(4), pp. 1560-1579 (2018), DOI 10.1137/16M106577X , e-print at arXiv:1603.04284 
• with D. Sattlegger: Discretising the Herman-Kluk propagator
  Num. Math., 137(1), pp. 119-157 (2017), DOI 10.1007/s00211-017-0871-0 , e-print at arXiv:1605.00588 
• with C. Fermanian Kammerer: An Egorov Theorem for avoided crossings of eigenvalue surfaces
  Comm. Math. Phys. 353(3), pp. 1011-1057 (2017), DOI 10.1007/s00220-017-2890-1 , e-print at arXiv:1605.03520 
• with J. Keller, T. Ohsawa: A new phase space density for quantum expectations
  SIAM J. Math. An. 48(1), pp. 513–537 (2016), DOI 10.1137/15M1028388 , e-print at arXiv:1506.08880 
• with W. Gaim: Corrections to Wigner type phase space methods
  Nonlinearity 27, pp. 2951-2974 (2014), DOI 10.1088/0951-7715/27/12/2951 , e-print at arXiv:1403.2839 
• with S. Troppmann: Hagedorn wavepackets in time-frequency and phase space
  J. Fourier An. Appl. 20, pp. 679-714 (2014), DOI 10.1007/s00041-014-9330-9 , e-print at arXiv:1303.5192 
• with J. Keller: Propagation of Quantum Expectations with Husimi Functions
  SIAM J. Appl. Math. 73, pp. 1557-1581 (2013), DOI 10.1137/120889186 , e-print at arXiv:1207.7211v2 
• with C. Fermanian Kammerer, P. Gerard: Wigner Measure Propagation and Conical Singularity for General Initial Data
  Arch. Rat. Mech. An. 209, pp. 209-236 (2013), DOI 10.1007/s00205-013-0622-z , e-print at arXiv:1203.5047 
• with S. Röblitz: Computing expectation values for molecular quantum dynamics
  SIAM J. Sci. Comput. 32, pp. 1465-1483 (2010), preprint, DOI 10.1137/090770461 
• with S. Fujiie, L. Nedelec: Semiclassical resonances for a two-level Schrödinger operator with a conical intersection
  Asympt. Anal. 65, pp. 17-58 (2009), preprint, DOI 10.3233/ASY-2009-0946 
• with S. Kube, M. Weber: Monte Carlo sampling of Wigner functions and surface hopping quantum dynamics
  J. Comput. Phys. 228, pp. 1947-1962 (2009), preprint, DOI 10.1016/j.jcp.2008.11.016  
• with C. Fermanian Kammerer: Propagation through generic level crossings: a surface hopping semigroup
  SIAM J. Math. An. 40(1), pp. 103-133 (2008), preprint, DOI 10.1137/070686810  
• with T. Swart, S. Teufel: Construction and validation of a rigorous surface hopping algorithm for conical crossings
  Comm. Math. Sci. 5(4), pp. 789-814 (2007), preprint, journal 
• with S. Teufel: Propagation through conical crossings: an asymptotic semigroup
  Comm. Pure Appl. Math. 58(9), pp. 1188-1230 (2005), preprint, DOI 10.1002/cpa.20087 
• with C. Fermanian Kammerer: Wigner measures and codimension two crossings
  J. Math. Phys. 44(2), pp. 507-527 (2003), preprint, DOI 10.1063/1.1527221 
• with A. Toselli: An overlapping domain decomposition preconditioner for a class of discontinuous Galerkin approximations of advection-diffusion problems
  Math. Comp. 72, pp. 1215-1238 (2003), preprint, DOI 10.1090/S0025-5718-03-01484-4  

Miscellaneous

• with G. Hagedorn: Molecular Quantum Dynamics, Snapshot  of Modern Mathematics from Oberwolfach (2017)
• with F. Bornemann, T. Swart: Energy level crossings in molecular dynamics
  Analysis, Modeling, and Simulation of Multiscale Problems, A. Mielke (Ed.), pp. 577-594 (2006), preprint
• with I. Barth, L. Gonzalez, J. Manz, T. Rozgonyi: Laser control of nuclear and electron dynamics: bond selective photodissociation and electron circulation
  Coherent Control of Molecules CCP6, B. Lasorne and G. Worth (Eds.), pp. 18-27 (2006), preprint
• with A. Toselli: Convergence of Some Two-Level Overlapping Domain Decomposition Preconditioners with Smoothed Aggregation Coarse Spaces
  Recent Developments in Domain Decomposition Methods, L. Pavarino and A. Toselli (Eds.), Lecture Notes in Computational Science and Engineering 23, pp. 95-117 (2002), preprint
• with A. Toselli: Overlapping preconditioners for discontinuous Galerkin approximations of second order problems
  Proceedings of the 13th International Conference of Domain Decomposition (2001), preprint