Eva Kalinowski has authored 3 sequences.
A225823
Number of hopping sequences in four-colored rooted trees with n nodes, starting and ending with the same "initial state" from all of the (two-colored) rooted trees in A198760. Compared to A198761, only one node color of the initial states is mobile on the tree (Falicov-Kimball model).
Original entry on oeis.org
1, 4, 54, 1568, 80680, 6510624, 761286848, 121944722176, 25668462562560
Offset: 2
- G. Gruber, Entwicklung einer graphbasierten Methode zur Analyse von Hüpfsequenzen auf Butcherbäumen und deren Implementierung in Haskell, Diploma thesis, Marburg, 2011
- M. Paech, E. Kalinowski, W. Apel, G. Gruber, R. Loogen, and E. Jeckelmann, Ground-state energy and beyond: High-accuracy results for the Hubbard model on the Bethe lattice in the strong-coupling limit, DPG Spring Meeting, Berlin, TT 45.91 (2012)
Term a(10) added by
Martin Paech, Sep 02 2013, calculated on a HP Integrity Superdome 2-32s by courtesy of Hewlett-Packard Development Company, L.P.
A226585
Denominators of the series expansion of the ground-state energy of the Hubbard model in the limits of strong coupling and infinite dimensions.
Original entry on oeis.org
2, 2, 8, 32, 128, 2048, 55296, 31850496
Offset: 2
-1/2, -1/2, -19/8, -593/32, -23877/128, -4496245/2048, ... = A226584/A226585
- Eva Kalinowski, Mott-Hubbard-Isolator in hoher Dimension, Dissertation, Marburg: Fachbereich Physik der Philipps-Universität, 2002.
- M. Paech, E. Kalinowski, W. Apel, G. Gruber, R. Loogen, and E. Jeckelmann, Ground-state energy and beyond: High-accuracy results for the Hubbard model on the Bethe lattice in the strong-coupling limit, DPG Spring Meeting, Berlin, TT 45.91 (2012).
- E. Kalinowski and W. Gluza, Evaluation of high-order terms for the Hubbard model in the strong-coupling limit, Phys. Rev. B 85 (4), 045105 (2012), 8 pages.
- M. Paech, W. Apel, E. Kalinowski and E. Jeckelmann, Comparison of computer-algebra strong-coupling perturbation theory and dynamical mean-field theory for the Mott-Hubbard insulator in high dimensions, Phys. Rev. B 90 (24), 245147 (2014), 10 pages.
A226584
Numerators of the series expansion of the ground-state energy of the Hubbard model in the limits of strong coupling and infinite dimensions.
Original entry on oeis.org
-1, -1, -19, -593, -23877, -4496245, -1588528613, -12927125815211
Offset: 2
-1/2, -1/2, -19/8, -593/32, -23877/128, -4496245/2048, ... = A226584/A226585
- Eva Kalinowski, Mott-Hubbard-Isolator in hoher Dimension, Dissertation, Marburg: Fachbereich Physik der Philipps-Universität, 2002.
- M. Paech, E. Kalinowski, W. Apel, G. Gruber, R. Loogen, and E. Jeckelmann, Ground-state energy and beyond: High-accuracy results for the Hubbard model on the Bethe lattice in the strong-coupling limit, DPG Spring Meeting, Berlin, TT 45.91 (2012).
- E. Kalinowski and W. Gluza, Evaluation of high-order terms for the Hubbard model in the strong-coupling limit, Phys. Rev. B 85 (4), 045105 (2012), 8 pages.
- M. Paech, W. Apel, E. Kalinowski and E. Jeckelmann, Comparison of computer-algebra strong-coupling perturbation theory and dynamical mean-field theory for the Mott-Hubbard insulator in high dimensions, Phys. Rev. B 90 (24), 245147 (2014), 10 pages.
Comments