Random Aharonov-Bohm vortices and some exactly solvable families of integrals

Journal of Statistical Mechanics: Theory and Experiment

Volumn , Issue 9, 2005, Pages 103-111

  Ouvry, Stéphane ^a  

^a UNIVERSITÉ PARIS SUD   (France)

Author keywords

Disordered systems (theory)

Indexed keywords

EID: 26244457747     PISSN: 17425468     EISSN: None     Source Type: Journal    
DOI: 10.1088/1742-5468/2005/09/P09004     Document Type: Article

References (12)

1. Aharonov Y and Bohm D 1959 Phys. Rev. 115 485
2. For an earlier description of the same effect see Ehrenberg W and Siday R W 1949 Proc. Phys. Soc. London B 62 8
3. Stovicek P 1989 Phys. Lett. A 142 5
4. Mashkevich S, Myrheim J and Ouvry S 2004 Phys. Lett. A 330 41
5. Desbois J, Furtlehner C and Ouvry S 1995 Nucl. Phys. B 453 759
6. Comtet A, Desbois J and Ouvry S 1990 J. Phys. A: Math. Gen. 23 3563
7. Werner W 1993 Thèse Université Paris 7
8. Werner W 1994 Probab. Theory Relat. Fields 111
9. Comtet A, Georgelin Y and Ouvry S 1989 J. Phys. A: Math. Gen. 22 3917
10. See Gradshteyn I S and Ryzhik I M 1994 Table of Integrals Series and Products 5th edn (New York: Academic) p 8.432 1 and 8.432 6
11. Samaj L and Travenec I 2000 J. Stat. Phys 101 713
12. Furtlehner C and Ouvry S 2003 Integrals involving four Macdonald functions and their relation to 7ζ(3)/2 Preprint math-ph/0306004