Abstract
A general scheme for computing numerically time-dependent quantum systems is presented with an emphasis on exponential product formulas on time-dependent operators. A New scheme for treating numerically the Kohn-Sham Hamiltonian is proposed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M. Suzuki: J. Phys. Soc. Jpn. 55, 4205 (1986).
M. Suzuki, M. Katori, X. Hu: J. Phys. Soc. Jpn. 56, 3092 (1987).
M. Suzuki, X. Hu, M. Katori, A. Lipowski, N. Hatano, K. Minami, Y. Nonomura: Coherent Anomaly Method — Mean-field, Fluctuations and Synergetics (World Scientific, 1995).
J. Huyghebaert, H. De Raedt: J. Phys. A: Math. Gen. 23, 5777 (1990).
A. Terai, Y. Ono: Prog. Theor. Phys. Suppl. 113 (1993).
M. Suzuki: Proc. Jpn. Aca. 69, Ser. B, 161 (1993).
H. De Raedt, K. Michielsen: Phys. Rev. B50, 631 (1994).
O. Sugino, Y. Miyamoto: Phys. Rev. B59, 2579 (1999).
N. Watanabe, M. Tsukada: Phys. Rev. B62 2914 (2000) and J. Phys. Soc. Jpn. 69, 2962 (2000).
R. Kubo: J. Phys. Soc. Jpn. 17, 1100 (1962).
M. Suzuki: J. Math. Phys. 26, 601 (1985).
M. Suzuki: Phys. Lett. A146, 319 (1990).
M. Suzuki: J. Math. Phys. 32, 400 (1991).
M. Suzuki: Phys. Lett. A165, 387 (1992).
M. Suzuki: J. Phys. Soc. Jpn. 61, 3015 (1992).
M. Suzuki: Physica A191, 501 (1992).
M. Suzuki: Physica A205, 65 (1994).
M. Suzuki: Commun. Math. Phys. 163, 491 (1994).
Z. Tsuboi, M. Suzuki: Int. J. Mod. Phys. B9, 3241 (1995).
D.P. Landau, S-H. Tsai, A. Bunker: J. Phys. Soc. Jpn. Suppl. 69, 407 (2000).
H. De Raedt, K. Michielsen: Computer in Phys. 8, 600 (1994).
R.I. McLachlan: Phys. Rev. Lett. 71, 3043 (1993).
H. Yamada, K. Ikeda, M. Goda: Phys. Lett. A182, 77 (1993).
There are a lot of papers cited in a review paper by the present author, to be submitted to Int. J. Mod. Phys. B.
K. Umeno, M. Suzuki: Phys. Lett. A181, 387 (1993).
M. Suzuki, K. Umeno: Computer Simulation Studies VI, ed. by D.P. Landau, K.K. Mon, H.-B. Schüttler (Springer, Berlin Heidelberg New York 1993).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Suzuki, M. (2002). Exponential Product Computing-Scheme for Time-Dependent Interactions Including the Kohn-Sham Hamiltonian. In: Landau, D.P., Lewis, S.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XIV. Springer Proceedings in Physics, vol 89. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59406-9_20
Download citation
DOI: https://doi.org/10.1007/978-3-642-59406-9_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-63967-8
Online ISBN: 978-3-642-59406-9
eBook Packages: Springer Book Archive