%0 Journal Article %1 QUA:QUA23201 %A Brouder, Christian %A Duchamp, Gérard H.E. %A Patras, Frédéric %A Tóth, Gábor Z. %D 2012 %I Wiley Subscription Services, Inc., A Wiley Company %J International Journal of Quantum Chemistry %K combinatorics mathematics mechanics perturbation physics quantum theory %N 10 %P 2256--2266 %R 10.1002/qua.23201 %T The Rayleigh-Schrödinger perturbation series of quasi-degenerate systems %U http://dx.doi.org/10.1002/qua.23201 %V 112 %X We describe the first representation of the general term of the Rayleigh-Schrödinger series for quasidegenerate systems. Each term of the series is represented by a tree and there is a straightforward relation between the tree and the analytical expression of the corresponding term. The combinatorial and graphical techniques used in the proof of the series expansion allow us to derive various resummation formulas of the series. A relation with several combinatorial objects used for special cases (degenerate or non-degenerate systems) is established. © 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2011

@article{QUA:QUA23201, abstract = {We describe the first representation of the general term of the Rayleigh-Schrödinger series for quasidegenerate systems. Each term of the series is represented by a tree and there is a straightforward relation between the tree and the analytical expression of the corresponding term. The combinatorial and graphical techniques used in the proof of the series expansion allow us to derive various resummation formulas of the series. A relation with several combinatorial objects used for special cases (degenerate or non-degenerate systems) is established. © 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2011}, added-at = {2012-07-14T04:56:57.000+0200}, author = {Brouder, Christian and Duchamp, Gérard H.E. and Patras, Frédéric and Tóth, Gábor Z.}, biburl = {https://www.bibsonomy.org/bibtex/24668649578a84b6aad4153f3a6029901/drmatusek}, description = {The Rayleigh-Schrödinger perturbation series of quasi-degenerate systems - Brouder - 2011 - International Journal of Quantum Chemistry - Wiley Online Library}, doi = {10.1002/qua.23201}, interhash = {e78189db4132ecd000319da40bd0ac13}, intrahash = {4668649578a84b6aad4153f3a6029901}, issn = {1097-461X}, journal = {International Journal of Quantum Chemistry}, keywords = {combinatorics mathematics mechanics perturbation physics quantum theory}, month = may, number = 10, pages = {2256--2266}, publisher = {Wiley Subscription Services, Inc., A Wiley Company}, timestamp = {2012-08-16T01:24:11.000+0200}, title = {The Rayleigh-Schrödinger perturbation series of quasi-degenerate systems}, url = {http://dx.doi.org/10.1002/qua.23201}, volume = 112, year = 2012 }