MCTDH

The MCTDH Package. MCTDH stands for Multi Configuration Time Dependent Hartree. MCTDH is a general algorithm to solve the time-dependent Schrödinger equation for multidimensional dynamical systems consisting of distinguishable particles. MCTDH can thus determine the quantal motion of the nuclei of a molecular system evolving on one or several coupled electronic potential energy surfaces. MCTDH by its very nature is an approximate method. However, it can be made as accurate as any competing method, but its numerical efficiency deteriorates with growing accuracy.


References in zbMATH (referenced in 15 articles )

Showing results 1 to 15 of 15.
Sorted by year (citations)

  1. Burkhard Schmidt, Ulf Lorenz: WavePacket: A Matlab package for numerical quantum dynamics. I: Closed quantum systems and discrete variable representations (2017) arXiv
  2. Bachmayr, Markus; Schneider, Reinhold; Uschmajew, André: Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations (2016)
  3. Lubich, Christian; Oseledets, Ivan V.; Vandereycken, Bart: Time integration of tensor trains (2015)
  4. Rauhut, Holger; Schneider, Reinhold; Stojanac, Željka: Tensor completion in hierarchical tensor representations (2015)
  5. Holtz, Sebastian; Rohwedder, Thorsten; Schneider, Reinhold: On manifolds of tensors of fixed TT-rank (2012)
  6. Khoromskij, Boris N.: $O(d \log N)$-quantics approximation of $N$-$d$ tensors in high-dimensional numerical modeling (2011)
  7. Bardos, Claude; Catto, Isabelle; Mauser, Norbert; Trabelsi, Saber: Setting and analysis of the multi-configuration time-dependent Hartree-Fock equations (2010)
  8. Conte, Dajana; Lubich, Christian: An error analysis of the multi-configuration time-dependent Hartree method of quantum dynamics (2010)
  9. Koch, Othmar; Ede, Christopher; Jordan, Gerald; Scrinzi, Armin: Hierarchical matrices in computations of electron dynamics (2010)
  10. Xu, Dong; Stare, Jernej; Cooksy, Andrew L.: Solving the vibrational Schrödinger equation on an arbitrary multidimensional potential energy surface by the finite element method (2009)
  11. Nonnenmacher, Achim; Lubich, Christian: Dynamical low-rank approximation: Applications and numerical experiments (2008)
  12. Koch, Othmar; Lubich, Christian: Regularity of the multi-configuration time-dependent Hartree approximation in quantum molecular dynamics (2007)
  13. Trabelsi, Saber: Solutions of the multiconfiguration time-dependent Hartree-Fock equations with Coulomb interactions (2007)
  14. Koch, Othmar; Kreuzer, Wolfgang; Scrinzi, Armin: Approximation of the time-dependent electronic Schrödinger equation by MCTDHF (2006)
  15. Lubich, Christian: A variational splitting integrator for quantum molecular dynamics. (2004)


Further publications can be found at: http://www.pci.uni-heidelberg.de/tc/usr/mctdh/ref.html