Equivalent multipole operators for degenerate Rydberg states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 74, Issue 2, 2006, Pages

  Ostrovsky, V N ^a   Vrinceanu, D ^b   Flannery, M R ^c  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

^c GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRON TRANSITIONS; LINEAR ALGEBRA; QUANTUM THEORY; VECTORS;

ANGULAR MOMENTUM; ELECTRIC DIPOLE OPERATORS; PRINCIPAL QUANTUM NUMBER; RUNGE-LENZ VECTOR;

ELECTRON ENERGY LEVELS;

EID: 33747642927     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.74.022720     Document Type: Article

References (38)

1. B. G. Adams, Algebraic Approach to Simple Quantum Systems (Springer-Verlag, Berlin, 1994);
2. O. L. DeLange and R. E. Raab, Operator Methods in Quantum Mechanics (Clarendon Press, Oxford, 1991);
3. C. E. Wulfman, in Group Theory and its Applications, edited by, E. M. Loebl, (Academic Press, New York, 1977);
4. B. G. Wybourne, Classical Groups for Physicists (Wiley, New York, 1974);
5. M. J. Englefield, Group Theory and the Coulomb Problem (Wiley, New York, 1972).
6. Yu. N. Demkov, B. S. Monozon, and V. N. Ostrovsky, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 57, 1431 (1969)
7. Yu. N. Demkov, B. S. Monozon, and V. N. Ostrovsky, [Sov. Phys. JETP SPHJAR 0038-5646 30, 775 (1970)].
8. D. Vrinceanu and M. R. Flannery, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.032701 63, 032701 (2001);
9. D. Vrinceanu and M. R. Flannery, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/34/1/101 34, L1 (2001);
10. D. Vrinceanu and M. R. Flannery, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.4880 85, 4880 (2000).
11. M. R. Flannery and D. Vrinceanu, Int. J. Mass. Spectrom. IMSPF8 1387-3806 223-224, 473 (2003).
12. A. K. Kazansky and V. N. Ostrovsky, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.52.R1811 52, R1811 (1995);
13. A. K. Kazansky and V. N. Ostrovsky, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/29/16/012 29, 3651 (1996);
14. A. K. Kazansky and V. N. Ostrovsky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.3094 77, 3094 (1996);
15. A. K. Kazansky and V. N. Ostrovsky, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 110, 1988 (1996)
16. A. K. Kazansky and V. N. Ostrovsky, [JETP JTPHES 1063-7761 83, 1095 (1996)].
17. A. K. Kazansky and V. N. Ostrovsky, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/29/24/001 29, L855 (1996);
18. D. Fregenal, T. Ehrenreich, B. Henningsen, E. Horsdal-Pedersen, L. Nyvang, and V. N. Ostrovsky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.223001 87, 223001 (2001);
19. V. N. Ostrovsky and E. Horsdal-Pedersen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.033408 67, 033408 (2003);
20. D. Fregenal, E. Horsdal-Pedersen, L. B. Madsen, M. Førre, J. P. Hansen, and V. N. Ostrovsky, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69. 031401 69, 031401 (R) (2004);
21. V. N. Ostrovsky and E. Horsdal-Pedersen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.033413 70, 033413 (2004).
22. W. Pauli, Z. Phys. ZEPYAA 0044-3328 36, 336 (1926).
23. M. R. Flannery, D. Vrinceanu, and V. N. Ostrovsky, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/38/2/020 38, S279 (2005).
24. D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonsky, Kvantovaya Tera Uglovogo Momenta (Nauka, Leningrad, 1975)
25. D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonsky, [English translation: Quantum Theory of Angular Momentum (World Scientific, Singapore, 1988)].
26. E. A. Solov'ev, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 82, 1762 (1982)
27. E. A. Solov'ev, [Sov. Phys. JETP SPHJAR 0038-5646 55, 1017 (1982)].
28. P. A. Braun and E. A. Solov'ev, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 86, 68 (1984)
29. P. A. Braun and E. A. Solov'ev, [Sov. Phys. JETP SPHJAR 0038-5646 10.1088/0022-3700/17/7/004 59, 38 (1984)].
30. E. A. Solov'ev, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 85, 109 (1983)
31. E. A. Solov'ev, [Sov. Phys. JETP SPHJAR 0038-5646 58, 63 (1983)].
32. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Butterworth- Heinemann, Oxford, 1997), Sect. 29, p. 96.
33. A. K. Kazansky and V. N. Ostrovsky, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 97, 78 (1990)
34. A. K. Kazansky and V. N. Ostrovsky, [Sov. Phys. JETP SPHJAR 0038-5646 70, 43 (1990)].
35. W. Clark and C. H. Greene, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.71.821 71, 821 (1999).
36. J. Morales, J. J. Pena, and J. Lopez-Bonilla, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45.4259 45, 4259 (1992).
37. O. L. deLange and R. E. Raab, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.34.1650 34, 1650 (1986);
38. A. C. Kalloniatis, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/21/11/ 001 21, L573 (1988).