Electron capture and scaling anomaly in polar molecules

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 372, Issue 17, 2008, Pages 2967-2970

  Giri, Pulak Ranjan ^a   Gupta, Kumar S ^a   Meljanac, S ^b   Samsarov, A ^b  

^a SAHA INSTITUTE OF NUCLEAR PHYSICS   (India)

^b RUDER BO KOVI INSTITUTE   (Croatia)

Author keywords

Quantum mechanical anomaly; Self adjoint extension

Indexed keywords

MOLECULES;

BOUND STATE; CRITICAL VALUE; ELECTRON CAPTURE; NEUMANN; POLAR MOLECULES; QUANTUM MECHANICAL; SELF-ADJOINT EXTENSIONS;

QUANTUM THEORY;

EID: 41349083294     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2008.01.008     Document Type: Article

References (39)

1. Hurst G.S., O'Kelly L.B., and Stokdale J.A. Nature 195 (1962) 66
2. Hurst G.S., Stokdale J.A., and O'Kelly L.B. J. Chem. Phys. 38 (1963) 2572
3. Altshular S. Phys. Rev. 107 (1957) 114
4. Mittleman M.H., and von Holdt R.E. Phys. Rev. 140 (1965) A726
5. Turner J.E. Phys. Rev. 141 (1966) 21
6. Fox K., and Turner J.E. Am. J. Phys. 34 (1966) 606
7. Fox K., and Turner J.E. J. Chem. Phys. 45 (1966) 1142
8. Landau L.D., and Lifshitz E.M. Quantum Mechanics (1959), Pergamon Press, London
9. Fermi E., and Teller E. Phys. Rev. 72 (1947) 399
10. Lévy-Leblond J.M. Phys. Rev. 153 (1967) 1
11. Crawford O.H. Proc. Phys. Soc. London 91 (1967) 279
12. Turner J.E. Am. J. Phys. 45 (1977) 758
13. Garrett W.R. J. Chem. Phys. 69 (1978) 2622
14. Camblong H.E., Epele L.N., Fanchiotti H., and Canal C.A.G. Phys. Rev. Lett. 87 (2001) 220402
15. Camblong H.E., and Ordonez C.R. Phys. Rev. D 68 (2003) 125013
16. Rohr K., and Linder F. J. Phys. B 9 (1976) 2521
17. Crawford O.H., and Garrett W.R. J. Chem. Phys. 66 (1977) 4968
18. A.S. Mullin, Autodetachment and photofragment spectroscopy of metastable molecular ions, Ph.D. Thesis, University of Colorado, Boulder, 1991
19. Mullin A.S., Murray K.K., Schulz C.P., and Lineberger W.C. J. Phys. Chem. 97 (1993) 10281
20. Reed M., and Simon B. Fourier Analysis, Self-Adjointness (1975), Academic Press, New York
21. Dunford N.Y., and Schwartz J.T. Linear Operators, Spectral Theory, Self Adjoint Operators in Hilbert Space, Part 2. Wiley Class ed. (1988), Wiley-Interscience
22. Titchmarsh E.S. Eigenfunction Expansion Associated with Second-Order Differential Equations (1946), Clarendon Press
23. Meetz K. Nuovo Cimento 34 (1964) 690
24. Perelomov A.M., and Popov V.S. Theor. Math. Phys. (USSR) 4 (1970) 664
25. Narnhofer H. Acta Phys. Austriaca 40 (1974) 306
26. Audretsch J., Skarzhinsky V.D., and Voronov V.L. J. Phys. A 34 (2001) 235
27. Basu-Mallick B., and Gupta K.S. Phys. Lett. A 292 (2001) 36
28. Basu-Mallick B., Ghosh P.K., and Gupta K.S. Nucl. Phys. B 659 (2003) 437
29. Basu-Mallick B., Ghosh P.K., and Gupta K.S. Phys. Lett. A 311 (2003) 87
30. Gupta K.S. Mod. Phys. Lett. A 18 (2003) 2355
31. Birmingham D., Gupta K.S., and Sen S. Phys. Lett. B 505 (2001) 191
32. Gupta K.S., and Sen S. Phys. Lett. B 526 (2002) 121
33. Meljanac S., Samsarov A., Basu-Mallick B., and Gupta K.S. Eur. Phys. J. C 49 (2007) 875
34. Esteve J.G. Phys. Rev. D 34 (1986) 674
35. Esteve J.G. Phys. Rev. D 66 (2002) 125013
36. Case K.M. Phys. Rev. 80 (1950) 797
37. Morse P.M., and Feshbach H. Methods of Theoretical Physics (1953), McGraw-Hill, New York
38. Abromowitz M., and Stegun I.A. Handbook of Mathematical Functions (1970), Dover, New York
39. Gupta K.S., and Rajeev S.G. Phys. Rev. D 48 (1993) 5940