An Error Analysis of the Multi-configuration Time-dependent Hartree Method of Quantum Dynamics

@inproceedings{Conte2009AnEA,
  title={An Error Analysis of the Multi-configuration Time-dependent Hartree Method of Quantum Dynamics},
  author={Dajana Conte and Christian Lubich},
  year={2009}
}
This paper gives an error analysis of the multi-configuration time-dependent Hartree (MCTDH) method for the approximation of multi-particle time-dependent Schrödinger equations. The MCTDH method approximates the multivariate wave function by a linear combination of products of univariate functions and replaces the high-dimensional linear Schrödinger equation by a coupled system of ordinary differential equations and low-dimensional nonlinear partial differential equations. The main result of… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 17 references

Dynamical Tensor Approximation

SIAM J. Matrix Analysis Applications • 2010
View 1 Excerpt

Cederbaum . The multiconfigurational time - dependent Hartree approach

U. Manthe H.-D. Meyer, S. L.
Multidimensional Quantum Dynamics : MCTDH Theory and Applications • 2009

Worth (eds.), Multidimensional Quantum Dynamics: MCTDH Theory and Applications

H.-D. Meyer, F. Gatti, G.A
2009
View 1 Excerpt

From Quantum to Classical Molecular Dynamics: Reduced Models and Numerical Analysis

C. Lubich
Europ. Math. Soc., Zurich, • 2008

Dynamical Low-Rank Approximation

SIAM J. Matrix Analysis Applications • 2007
View 1 Excerpt

Structured rank-(R1, ..., Rd) decomposition of function-related tensors in Rd

B. N. Khoromskij
Comput. Meth. Appl. Math., • 2006

Solutions of the multiconfiguration equations in quantum chemistry

M. Lewin
Arch. Ration. Mech. Anal., • 2004
View 1 Excerpt