Symmetry and degeneracy of the curved Coulomb potential on the S 3 ball

Journal of Physics A: Mathematical and Theoretical

Volumn 44, Issue 44, 2011, Pages

  Pallares Rivera, A ^a   Kirchbach, M ^a  

^a UNIVERSIDAD AUTÓNOMA DE SAN LUIS POTOSÍ   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80054819683     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/44/44/445302     Document Type: Article

References (20)

1. Gay J-C, Delande D and Bommier A 1989 Atomic quantum states with maximal localization on classical elliptical orbits Phys. Rev. A 39 658790
2. Finken R, Schmidt M and Lwen H 2001 Freezing transition of hard hyperspheres Phys. Rev. E 65 016108
3. Loos P-F and Gill P M W 2009 Two electrons on a hypersphere: a quasiexactly solvable model Phys. Rev. Lett. 103 123008
4. Rsmark P J, Ekholm T and Elvingson C 2005 Computer simulations of polymer chain structure and dynamics on a hypersphere in four-space J. Chem. Phys. 122 184110
5. Nissfolk J, Ekholm T and Elvingson C 2003 Brownian dynamics simulations on a hypersphere in 4-space J. Chem. Phys. 119 642332
6. Gritsev V V and Kurochkin Y A 2001 Model of excitations in quantum dots based on quantum mechanics in spaces of constant curvature Phys. Rev. B 64 035308
7. Higgs P W 1979 Dynamical symmetries in a spherical geometry. I J. Phys A: Math. Gen. 12 30923
8. Alvarez-Castillo D E, Compean C B and Kirchbach M 2011 Rotational symmetry and degeneracy: a cotangent perturbed rigid rotator of unperturbed level multiplicity Mol. Phys. 109 147783
9. Leemon H I 1979 Dynamical symmetries in a spherical geometry. II J. Phys. A: Math. Gen. 12 489501
10. Quesne C and Tkachuk V M 2004 Deformed algebras, position dependent effective masses and curved space: an exactly solvable Coulomb problem J. Phys. A: Math. Gen. 37 426781 (Pubitemid 38544930)
11. Raposo A, Weber H-J, Alvarez-Castillo D E and Kirchbach M 2007 Romanovski polynomials in selected physics problems Cent. Eur. J. Phys. 5 25384
12. Englefield M J 1971 Group Theory and the Coulomb Problem (New York: Wiley-Interscience)
13. De R, Dutt R and Sukhatme U 1992 Mapping of shape invariant potentials under point canonical transformations J. Phys. A: Math. Gen. 25 L84350
14. Schrdinger E 1940 A method of determining quantum mechanical eigenvalues and eigenfunction Proc. R. Irish Acad. A 46 916
15. Schrdinger E 1941 Further studies on solving eigenvalue problems by factorization Proc. R. Irish Acad. 46 183206 (http:://www.jstor.org/pss/ 20490756)
16. Barut A O and Wilson R 1985 On the dynamical group of the Kepler problem in a curved space of constant curvature Phys. Lett. A 110 3514
17. Kirchbach M and Compean C B 2010 Conformal symmetry and light flavor baryon spectra Phys. Rev. D 82 034008
18. Gangopadhyaya A, Mallow J V and Sukhatme U P 1998 Translational shape invariance and the inherent potential algebra Phys. Rev. A 58 428792 (Pubitemid 128615969)
19. Dabrowski M P, Garecki J and Blaschke D B 2009 Conformal transformations and conformal invariance in gravity Ann. Phys. 18 1322
20. Dirac P A M 1935 The electron wave equation in de-Sitter space Ann. Math. Phys. 36 65769 (http://www.jstor.org/stable/1968649)