Geodesic
Gaussian integrals depending on a quantum parameter in finite dimension
The Teaching of Mathematics, XXV (2022) no. 2, p. 107 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

A common theme in mathematics is the evaluation of Gauss integrals. This, coupled with the fact that they are used in different branches of science, makes the topic always actual and interesting. In these notes we shall analyze a particular class of Gaussian integrals that depend on the quantum parameter $\hbar$. Starting from classical results, we will present an overview on methods, examples and analogies regarding the practice of solving quantum Gaussian integrals.
DOI : 10.57016/TM-ZOVB7625
Classification : 97I50, 97I80 I55, I85
Keywords: Gaussian integral, quantization, special functions, arithmetic-geometric mean. 
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Simone Camosso. Gaussian integrals depending on a quantum parameter in finite dimension. The Teaching of Mathematics, XXV (2022) no. 2, p. 107 . doi : 10.57016/TM-ZOVB7625. http://geodesic.mathdoc.fr/articles/10.57016/TM-ZOVB7625/

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