On the quantum dynamics of a point particle in conical space

Annals of Physics

Volumn 323, Issue 12, 2008, Pages 3150-3157

  Filgueiras, C ^a   Moraes, F ^a  

^a FEDERAL UNIVERSITY OF PARAÍBA   (Brazil)

Author keywords

function potential; Conical singularity; Pathological potentials

Indexed keywords

EID: 54849436031     PISSN: 00034916     EISSN: 1096035X     Source Type: Journal    
DOI: 10.1016/j.aop.2008.08.002     Document Type: Article

References (33)

1. Vilenkin A., and Shellard E.P.S. Cosmic Strings and Other Topological Defects (2000), Cambridge University Press, Cambridge
2. Katanaev M.O., and Volovich I.V. Ann. Phys. 216 (1992) 1
3. Sátiro C., and Moraes F. Eur. Phys. J.E 20 (2006) 173
4. See for example,. Furtado C., Rosas A., and Azevedo S. Europhys. Lett. 79 (2007) 57001
5. de Mello E.R.B. JHEP 06 (2004) 016
6. Miranda J.A., and Moraes F. J. Phys. A: Math. Gen. 36 (2003) 863
7. Azevedo S., and Moraes F. J. Phys.: Condens. Matter 12 (2000) 7421
8. Furtado C., Moraes F., and Bezerra V.B. Phys. Rev. D 59 (1999) 107504
9. Hagen C.R., and Park D.K. Ann. Phys. 251 (1996) 45
10. Reed M., and Simon B. Methods of Modern Mathematical Physics II (1975), Academy Press, New York
11. de Sousa Gerbert Ph. Phys. Rev. D 40 (1989) 1346
12. de Souza Gerbert P., and Jackiw R. Commun. Math. Phys. 124 (1989) 229
13. Alford M.G., March-Russell J., and Wilczek F. Nucl. Phys. B 328 (1989) 140
14. Giri P.R. Phys. Rev. A 76 (2007) 012114
15. Bouaziz D., and Bawin M. Phys. Rev. A 76 (2007) 032112
16. Case K.M. Phys. Rev. 80 (1950) 797
17. de Lima Ribeiro C.A., Furtado C., and Moraes F. Mod. Phys. Lett. A 20 (2005) 1991
18. da Costa R.C.T. Phys. Rev. A 23 (1981) 1982
19. Ogawa N., Fujii K., and Kobushukin A. Prog. Theor. Phys. 83 (1990) 894
20. Ogawa N., Fujii K., Chepliko N., and Kobushukin A. Prog. Theor. Phys. 85 (1991) 1189
21. Ikegami M., and Nagaoka Y. Prog. Theor. Phys. 106 (1991) 235
22. Sátiro C., and Moraes F. Europhys. Lett. 80 (2007) 46002
23. Kay B.S., and Studer U.M. Comm. Math. Phys. 139 (1991) 103
24. Bonneau G., Faraut J., and Valente G. Am. J. Phys. 69 (2001) 322
25. Grats Y., and Garcia A. Class. Quantum Grav. 13 (1996) 189
26. de Lima Ribeiro C.A., Furtado C., Bezerra V.B., and Moraes F. J. Phys. A: Math. Gen. 34 (2001) 6119
27. Kowalski K., Podlaski K., and Rembieliński J. Phys. Rev. A 66 (2002) 032118
28. In: Abramowitz M., and Stegun I.A. (Eds). Handbook of Mathematical Functions (1972), Dover Publications, New York
29. Khalilov V.R. Phys. Rev. A 71 (2005) 012105
30. Filgueiras C., and Moraes F. Phys. Lett. A 361 (2007) 13
31. Park D.K., and Jae Geub Oh. Phys. Rev. D 50 (1994) 7715
32. Bezerra V.B. J. Math. Phys. 38 (1997) 2553
33. Furtado C., Bezerra V.B., and Moraes F. Mod. Phys. Lett. A 15 (2000) 253