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dc.date.accessioned 2020-08-05T17:20:22Z
dc.date.available 2020-08-05T17:20:22Z
dc.date.issued 2015-09
dc.identifier.uri http://sedici.unlp.edu.ar/handle/10915/101444
dc.description.abstract We propose a simple pedagogical way of introducing the Euler-MacLaurin summation formula in an undergraduate course on statistical mechanics. The reason is that the students may feel more comfortable and confident if they are able to deduce the main equations. To this end we put forward two alternative routes: the first one is the simplest and yields the first two terms of the expansion. The second one is somewhat more elaborate and takes into account all the correction terms. We apply both to the calculation of the simplest one-particle canonical partition functions for the translational, vibrational and rotational degrees of freedom. The more elaborate, systematic calculation of the correction terms is suitable for motivating the students to explore the possibility of using available computer algebra software that enable one to avoid long and tedious manipulation of algebraic equations. en
dc.language en es
dc.subject Euler-maclaurin formula es
dc.subject Partition function es
dc.subject Simpler approach es
dc.title A simple way of approximating the canonical partition functions in statistical mechanics en
dc.type Articulo es
sedici.identifier.uri https://ri.conicet.gov.ar/11336/48844 es
sedici.identifier.other http://dx.doi.org/10.1088/0143-0807/36/5/055026 es
sedici.identifier.other arXiv:1506.02054 es
sedici.identifier.other hdl:11336/48844 es
sedici.identifier.issn 0143-0807 es
sedici.creator.person Fernández, Francisco Marcelo es
sedici.subject.materias Química es
sedici.description.fulltext true es
mods.originInfo.place Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas es
sedici.subtype Preprint es
sedici.rights.license Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
sedici.rights.uri http://creativecommons.org/licenses/by-nc-sa/4.0/
sedici.description.peerReview peer-review es
sedici.relation.journalTitle European Journal of Physics es
sedici.relation.journalVolumeAndIssue vol. 36, no. 5 es

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