1/N expansions for central potentials revisited in the light of hypervirial and Hellmann-Feynman theorems and the principle of minimal sensitivity

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 61, Issue 4, 2000, Pages 421051-4210525

  Kwato Njock, M G ^a,c,d   Nsangou, M ^a,c,d   Bona, Z ^a,d   Nana Engo, S G ^b   Oumarou, B ^b  

^a ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

^b UNIVERSITY OF NGAOUNDERE   (Cameroon)

^c Univ de Yaoundé I ^*  (Cameroon)

^d UNIVERSITY OF YAOUNDÉ I   (Cameroon)

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[No Author keywords available]

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EID: 17344378274     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (179)

1. H. Hellmann, Acta Physicochim. URSS 1, 913 (1935); J. Chem. Phys. 3, 61 (1935); 4, 225 (1936); 4, 324 (1936).
2. H. Hellmann, Acta Physicochim. URSS 1, 913 (1935); J. Chem. Phys. 3, 61 (1935); 4, 225 (1936); 4, 324 (1936).
3. H. Hellmann, Acta Physicochim. URSS 1, 913 (1935); J. Chem. Phys. 3, 61 (1935); 4, 225 (1936); 4, 324 (1936).
4. H. Hellmann, Acta Physicochim. URSS 1, 913 (1935); J. Chem. Phys. 3, 61 (1935); 4, 225 (1936); 4, 324 (1936).
5. H. Hellmann and W. Kassatotschkin, Acta Physicochim. URSS 5, 23 (1936); J. Chem. Phys. 3, 61 (1936); 4, 234 (1936).
6. H. Hellmann and W. Kassatotschkin, Acta Physicochim. URSS 5, 23 (1936); J. Chem. Phys. 3, 61 (1936); 4, 234 (1936).
7. H. Hellmann and W. Kassatotschkin, Acta Physicochim. URSS 5, 23 (1936); J. Chem. Phys. 3, 61 (1936); 4, 234 (1936).
8. J. Callaway, Phys. Rev. 112, 322 (1958); J. Callaway and P. S. Laghos, Phys. Rev. 187, 192 (1969).
9. J. Callaway, Phys. Rev. 112, 322 (1958); J. Callaway and P. S. Laghos, Phys. Rev. 187, 192 (1969).
10. L. Szasz and G. McGinn, J. Chem. Phys. 42, 2363 (1965).
11. G. J. Iafrate, J. Chem. Phys. 45, 1072 (1966); 46, 728 (1967).
12. G. J. Iafrate, J. Chem. Phys. 45, 1072 (1966); 46, 728 (1967).
13. V. K. Gryaznov, M. V. Zhemokletov, V. N. Zubarev, I. L. Losilevskii, and V. E. Tortov, Zh. Eksp. Teor. Fiz. 78, 573 (1980) [Sov. Phys. JETP 51, 288 (1980)].
14. V. K. Gryaznov, M. V. Zhemokletov, V. N. Zubarev, I. L. Losilevskii, and V. E. Tortov, Zh. Eksp. Teor. Fiz. 78, 573 (1980) [Sov. Phys. JETP 51, 288 (1980)].
15. V. A. Alekseev, V. E. Fortov, and I. T. Yakubov, Usp. Fiz. Nauk 139, 193 (1983) [Sov. Phys. Usp. 26, 99 (1983)].
16. V. A. Alekseev, V. E. Fortov, and I. T. Yakubov, Usp. Fiz. Nauk 139, 193 (1983) [Sov. Phys. Usp. 26, 99 (1983)].
17. J. N. Das and S. Chakravarty, Phys. Rev. A 32, 176 (1985).
18. Y. P. Varshni and R. C. Shukla, Rev. Mod. Phys. 35, 130 (1963).
19. H. Preuss, Z. Naturforsch. B 10, 365 (1955).
20. K. Landanyi, Acta Phys. Acad. Sci. Hung. 5, 361 (1956).
21. R. Gaspar, Acta Phys. Acad. Sci. Hung. IX, 79 (1958).
22. J. C. Philips and L. Kleinmann, Phys. Rev. 116, 287 (1959); 118, 1153 (1960).
23. J. C. Philips and L. Kleinmann, Phys. Rev. 116, 287 (1959); 118, 1153 (1960).
24. A. J. Hughes and J. Callaway, Phys. Rev. A 136, 1390 (1964).
25. L. Hulthen, Ark. Mat., Astron. Fys. 28A, 5 (1942); 29B, 1 (1942).
26. L. Hulthen, Ark. Mat., Astron. Fys. 28A, 5 (1942); 29B, 1 (1942).
27. B. I. Dunlap and L. Armstrong, Jr., Phys. Rev. A 6, 1370 (1972).
28. B. Durand and L. Durand, Phys. Rev. D 23, 1092 (1981).
29. S. H. Patil, J. Phys. A 17, 575 (1984).
30. P. Matthys and H. De Meyer, Phys. Rev. A 38, 1168 (1988).
31. W. Van Dijk, Phys. Rev. C 40, 1437 (1989).
32. R. Dutt and U. Mukherji, Phys. Lett. 90A, 395 (1982).
33. Y. P. Varshni, Phys. Rev. A 41, 4682 (1990), and references therein.
34. Lam and Varshni, Phys. Rev. A 6, 1391 (1972); Phys. Status Solidi B 89, 103 (1978).
35. Lam and Varshni, Phys. Rev. A 6, 1391 (1972); Phys. Status Solidi B 89, 103 (1978).
36. P. M. Morse, Phys. Rev. 34, 57 (1929); M. Berrondo and A. Palma, in Group Theoretical Methods in Physics, edited by K. Wolf, Lecture Notes in Physics Vol. 135 (Springer, Berlin, 1980).
37. P. M. Morse, Phys. Rev. 34, 57 (1929); M. Berrondo and A. Palma, in Group Theoretical Methods in Physics, edited by K. Wolf, Lecture Notes in Physics Vol. 135 (Springer, Berlin, 1980).
38. E. P. Prokopev, Fiz. Tverd. Tela (Leningrad) 9, 1266 (1967) [Sov. Phys. Solid State 9, 993 (1967)] and references therein; R. Dutt and U. Mukherji, Phys. Lett. 90A, 229 (1980); D. Singh and Y. P. Varshni, Phys. Rev. A 28, 2606 (1983).
39. E. P. Prokopev, Fiz. Tverd. Tela (Leningrad) 9, 1266 (1967) [Sov. Phys. Solid State 9, 993 (1967)] and references therein; R. Dutt and U. Mukherji, Phys. Lett. 90A, 229 (1980); D. Singh and Y. P. Varshni, Phys. Rev. A 28, 2606 (1983).
40. E. P. Prokopev, Fiz. Tverd. Tela (Leningrad) 9, 1266 (1967) [Sov. Phys. Solid State 9, 993 (1967)] and references therein; R. Dutt and U. Mukherji, Phys. Lett. 90A, 229 (1980); D. Singh and Y. P. Varshni, Phys. Rev. A 28, 2606 (1983).
41. E. P. Prokopev, Fiz. Tverd. Tela (Leningrad) 9, 1266 (1967) [Sov. Phys. Solid State 9, 993 (1967)] and references therein; R. Dutt and U. Mukherji, Phys. Lett. 90A, 229 (1980); D. Singh and Y. P. Varshni, Phys. Rev. A 28, 2606 (1983).
42. I. R. Elsum and R. G. Gordon, J. Chem. Phys. 76, 5452 (1982); F. Karlsson and C. Jedrzejek, ibid. 86, 3532 (1987).
43. I. R. Elsum and R. G. Gordon, J. Chem. Phys. 76, 5452 (1982); F. Karlsson and C. Jedrzejek, ibid. 86, 3532 (1987).
44. V. L. Bonch-bruevich and V. B. Glasko, I Spektrosk. 14, 495 (1962); F. Rogers, H. Graboske, Jr., and D. J. Harwood, Phys. Rev. A 1, 1577 (1970); C. A. Rouse, Phys. Rev. 159, 41 (1967).
45. V. L. Bonch-bruevich and V. B. Glasko, I Spektrosk. 14, 495 (1962); F. Rogers, H. Graboske, Jr., and D. J. Harwood, Phys. Rev. A 1, 1577 (1970); C. A. Rouse, Phys. Rev. 159, 41 (1967).
46. V. L. Bonch-bruevich and V. B. Glasko, I Spektrosk. 14, 495 (1962); F. Rogers, H. Graboske, Jr., and D. J. Harwood, Phys. Rev. A 1, 1577 (1970); C. A. Rouse, Phys. Rev. 159, 41 (1967).
47. A. Lindgård and S. E. Nielsen, J. Phys. B 8, 1183 (1977).
48. A. Lindgård and S. E. Nielsen, At. Data Nucl. Data Tables 19, 534 (1977).
49. R. E. Crandall and M. H. Reno, J. Math. Phys. 23, 64 (1982); J. Phys. A 16, L395 (1983).
50. R. E. Crandall and M. H. Reno, J. Math. Phys. 23, 64 (1982); J. Phys. A 16, L395 (1983).
51. A. I. Mikhailov and V. S. Polikanov, Zh. Eksp. Teor. Fiz. 54, 175 (1968) [Sov. Phys. JETP 27, 95 (1968)]; G. A. Baker, Jr., Adv. Theor. Phys. 1, 1 (1965); G. McGinn, J. Chem. Phys. 53, 3635 (1970).
52. A. I. Mikhailov and V. S. Polikanov, Zh. Eksp. Teor. Fiz. 54, 175 (1968) [Sov. Phys. JETP 27, 95 (1968)]; G. A. Baker, Jr., Adv. Theor. Phys. 1, 1 (1965); G. McGinn, J. Chem. Phys. 53, 3635 (1970).
53. A. I. Mikhailov and V. S. Polikanov, Zh. Eksp. Teor. Fiz. 54, 175 (1968) [Sov. Phys. JETP 27, 95 (1968)]; G. A. Baker, Jr., Adv. Theor. Phys. 1, 1 (1965); G. McGinn, J. Chem. Phys. 53, 3635 (1970).
54. A. I. Mikhailov and V. S. Polikanov, Zh. Eksp. Teor. Fiz. 54, 175 (1968) [Sov. Phys. JETP 27, 95 (1968)]; G. A. Baker, Jr., Adv. Theor. Phys. 1, 1 (1965); G. McGinn, J. Chem. Phys. 53, 3635 (1970).
55. C. S. Lam and Y. P. Varshni, Phys. Rev. A 4, 1875 (1971).
56. J. McEnnan, L. Kissel, and R. H. Pratt, Phys. Rev. A 13, 532 (1976); J. McEnnan, D. J. Botto, and R. H. Pratt, ibid. 16, 1768 (1977).
57. J. McEnnan, L. Kissel, and R. H. Pratt, Phys. Rev. A 13, 532 (1976); J. McEnnan, D. J. Botto, and R. H. Pratt, ibid. 16, 1768 (1977).
58. C. K. Au and Y. Aharonov, Phys. Rev. A 20, 2245 (1979).
59. P. P. Ray and A. Ray, Phys. Lett. 78A, 443 (1990).
60. C. S. Lai, Phys. Rev. A 26, 2245 (1982).
61. G. W. Rogers, Phys. Rev. A 30, 35 (1984).
62. R. Dutt, K. Chowdhury, and Y. P. Varshni, J. Phys. A 18, 1379 (1985).
63. C. S. Lai and M. P. Madan, Z. Phys. A 321, 201 (1985).
64. K. M. Roussel and R. F. O'connell, Phys. Rev. A 9, 52 (1974).
65. N. Bessis, G. Bessis, G. Corbel, and G. Dakhel, J. Chem. Phys. 63, 3744 (1975).
66. R. Greene and C. Aldrich, Phys. Rev. A 14, 2363 (1976).
67. J. Adamowski, Phys. Rev. A 31, 43 (1985).
68. H. de Meyer, V. Fack, and G. Vanden Berghe, J. Phys. A 18, L849 (1985).
69. A. D. Dolgov, V. L. Eletskii, and V. S. Popov (unpublished).
70. L. Mlodinow and N. Papanicolaou, Ann. Phys. (N.Y.) 128, 314 (1980); 131, 1 (1981); L. Mlodinow, Ph.D. thesis, University of California at Berkeley, 1981 (unpublished); in Quark and Nucleus Progress Particle in Particle and Nuclear Physics, edited by D. Wilkinson (Pergamon, New York, 1982), Vol. 8.
71. L. Mlodinow and N. Papanicolaou, Ann. Phys. (N.Y.) 128, 314 (1980); 131, 1 (1981); L. Mlodinow, Ph.D. thesis, University of California at Berkeley, 1981 (unpublished); in Quark and Nucleus Progress Particle in Particle and Nuclear Physics, edited by D. Wilkinson (Pergamon, New York, 1982), Vol. 8.
72. L. Mlodinow and N. Papanicolaou, Ann. Phys. (N.Y.) 128, 314 (1980); 131, 1 (1981); L. Mlodinow, Ph.D. thesis, University of California at Berkeley, 1981 (unpublished); in Quark and Nucleus Progress Particle in Particle and Nuclear Physics, edited by D. Wilkinson (Pergamon, New York, 1982), Vol. 8.
73. L. Mlodinow and N. Papanicolaou, Ann. Phys. (N.Y.) 128, 314 (1980); 131, 1 (1981); L. Mlodinow, Ph.D. thesis, University of California at Berkeley, 1981 (unpublished); in Quark and Nucleus Progress Particle in Particle and Nuclear Physics, edited by D. Wilkinson (Pergamon, New York, 1982), Vol. 8.
74. L. Mlodinow and M. Shalz, Caltech Report No. 68-937, 1982.
75. S. Kalara, University of Rochester Report No. UR-812, 1982.
76. C. Bender, L. Mlodinow, and N. Papanicolaou, Phys. Rev. A 25, 1305 (1982).
77. A. V. Koudinov and Smondyrev, Czech. J. Phys., Sect. B 32, 556 (1982); Teor. Mat. Fiz. 56, 357 (1983).
78. A. V. Koudinov and Smondyrev, Czech. J. Phys., Sect. B 32, 556 (1982); Teor. Mat. Fiz. 56, 357 (1983).
79. P. Du and T. Van der Merwe, Lett. Nuovo Cimento 37, 86 (1983).
80. J. Ader, Phys. Lett. 97A, 178 (1983).
81. U. Sukhatme and T. Imbo, Phys. Rev. D 28, 418 (1983).
82. G. Moreno and A. Zepeda, J. Phys. B 17, 21 (1984).
83. A. Chatterjee, J. Phys. A 18, 1193 (1985); 18, 2403 (1985).
84. A. Chatterjee, J. Phys. A 18, 1193 (1985); 18, 2403 (1985).
85. S. Erkoc and R. Sever, Phys. Rev. D 33, 588 (1986).
86. M. Jameel, J. Phys. A 19, 1967 (1986).
87. R. Sever and C. Tezcan, Phys. Rev. A 36, 1045 (1987).
88. G. 't Hooft, Nucl. Phys. B 72, 461 (1974); 75, 461 (1974).
89. G. 't Hooft, Nucl. Phys. B 72, 461 (1974); 75, 461 (1974).
90. E. Witten, Nucl. Phys. B 160, 57 (1979).
91. S. Coleman, SLAC Report No. Pub-2484, 1980; in Pointlike Structures Inside and Outside Hadrons, edited by A. Zichichi (Plenum, New York, 1982).
92. S. Coleman, SLAC Report No. Pub-2484, 1980; in Pointlike Structures Inside and Outside Hadrons, edited by A. Zichichi (Plenum, New York, 1982).
93. J. Dey, M. Dey, and J. Le Tourneux, Phys. Rev. D 34, 2104 (1986).
94. P. Anderson, Phys. Rev. 86, 694 (1952).
95. R. Kubo, Phys. Rev. 87, 568 (1952).
96. R. A. Ferrell and D. J. Scalapino, Phys. Rev. A 9, 846 (1974).
97. A. J. Bray, J. Phys. A 7, 2144 (1974).
98. E. Brezin, Le Guillou, and J. Zinn-Justin, in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic, New York, 1976), Vol. 6, p. 127.
99. S. Ma, in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic, New York, 1976), Vol. 6, p. 250.
100. S. Hikami and E. Brezin, J. Phys. A 12, L759 (1983).
101. A. Chatterjee, Phys. Rep. 186, 249 (1990).
102. A. D. Dolgov, V. L. Eletskii, and V. S. Popov, Zh. Eksp. Teor. Fiz. 79, 1704 (1980) [Sov. Phys. JETP 52, 861 (1980)].
103. A. D. Dolgov, V. L. Eletskii, and V. S. Popov, Zh. Eksp. Teor. Fiz. 79, 1704 (1980) [Sov. Phys. JETP 52, 861 (1980)].
104. S. P. Alliluev, V. M. Vainberg, V. L. Eletskii, and V. S. Popov. Zh. Eksp. Teor. Fiz. 82, 77 (1982) [Sov. Phys. JETP 55, 46 (1982)].
105. S. P. Alliluev, V. M. Vainberg, V. L. Eletskii, and V. S. Popov. Zh. Eksp. Teor. Fiz. 82, 77 (1982) [Sov. Phys. JETP 55, 46 (1982)].
106. V. S. Popov, V. M. Vainberg and V. D. Mur, Pis'ma Zh. Eksp. Fiz. 41, 439 (1985) [JETP Lett. 41, 539 (1985)]; V. S. Popov, V. D. Mur, A. V. Shcheblykin, and V. M. Weinberg, Phys. Lett. A 124, 77 (1987).
107. V. S. Popov, V. M. Vainberg and V. D. Mur, Pis'ma Zh. Eksp. Fiz. 41, 439 (1985) [JETP Lett. 41, 539 (1985)]; V. S. Popov, V. D. Mur, A. V. Shcheblykin, and V. M. Weinberg, Phys. Lett. A 124, 77 (1987).
108. V. S. Popov, V. M. Vainberg and V. D. Mur, Pis'ma Zh. Eksp. Fiz. 41, 439 (1985) [JETP Lett. 41, 539 (1985)]; V. S. Popov, V. D. Mur, A. V. Shcheblykin, and V. M. Weinberg, Phys. Lett. A 124, 77 (1987).
109. V. S. Popov, V. D. Mur, and V. M. Weinberg, Phys. Lett. A 149, 419 (1990); V. S. Popov, V. D. Mur, and A. V. Sergeev, ibid. 149, 425 (1990).
110. V. S. Popov, V. D. Mur, and V. M. Weinberg, Phys. Lett. A 149, 419 (1990); V. S. Popov, V. D. Mur, and A. V. Sergeev, ibid. 149, 425 (1990).
111. V. S. Popov, B. M. Karnakov, and V. D. Mur, Phys. Lett. A 224, 15 (1996).
112. V. M. Vainberg, V. D. Mur, V. S. Popov, and A. V. Sergeev, Pis'ma Zh. Eksp. Teor. Fiz. 44, 9 (1986) [JETP Lett. 44, 9 (1986)]; V. M. Vainberg, V. D. Mur, V. S. Popov, and A. V. Sergeev, Zh. Eksp. Teor. Fiz. 93, 450 (1987) [Sov. Phys. JETP 66, 258 (1987)].
113. V. M. Vainberg, V. D. Mur, V. S. Popov, and A. V. Sergeev, Pis'ma Zh. Eksp. Teor. Fiz. 44, 9 (1986) [JETP Lett. 44, 9 (1986)]; V. M. Vainberg, V. D. Mur, V. S. Popov, and A. V. Sergeev, Zh. Eksp. Teor. Fiz. 93, 450 (1987) [Sov. Phys. JETP 66, 258 (1987)].
114. V. M. Vainberg, V. D. Mur, V. S. Popov, and A. V. Sergeev, Pis'ma Zh. Eksp. Teor. Fiz. 44, 9 (1986) [JETP Lett. 44, 9 (1986)]; V. M. Vainberg, V. D. Mur, V. S. Popov, and A. V. Sergeev, Zh. Eksp. Teor. Fiz. 93, 450 (1987) [Sov. Phys. JETP 66, 258 (1987)].
115. V. M. Vainberg, V. D. Mur, V. S. Popov, and A. V. Sergeev, Pis'ma Zh. Eksp. Teor. Fiz. 44, 9 (1986) [JETP Lett. 44, 9 (1986)]; V. M. Vainberg, V. D. Mur, V. S. Popov, and A. V. Sergeev, Zh. Eksp. Teor. Fiz. 93, 450 (1987) [Sov. Phys. JETP 66, 258 (1987)].
116. V. D. Mur, V. S. Popov, and A. V. Sergeev, Zh. Eksp. Teor. Fiz. 97, 32 (1990) [Sov. Phys. JETP 70, 16 (1990)].
117. V. D. Mur, V. S. Popov, and A. V. Sergeev, Zh. Eksp. Teor. Fiz. 97, 32 (1990) [Sov. Phys. JETP 70, 16 (1990)].
118. V. S. Popov, and A. V. Sergeev, Phys. Lett. A 172, 193 (1993).
119. T. Imbo and U. Sukhatme, University of Illinois at Chicago Report No. UIC-83-5, 1983.
120. T. Imbo and U. Sukhatme, Phys. Rev. D 31, 2655 (1985).
121. T. Imbo, A. Pagnamenta, and U. Sukhatme, Phys. Lett. 105A, 183 (1984); Phys. Rev. D 29, 1669 (1984).
122. T. Imbo, A. Pagnamenta, and U. Sukhatme, Phys. Lett. 105A, 183 (1984); Phys. Rev. D 29, 1669 (1984).
123. A. Aharonov and C. Au, Phys. Rev. Lett. 42, 1582 (1979); U. Sukhatme, in Proceedings of the Seventh Warsaw Symposium on Elementary Particle Physics, Kazimiez, Poland, edited by Z. Ajduk (Institute of Theoretical Physics, Warsaw University, Warsaw, 1984).
124. A. Aharonov and C. Au, Phys. Rev. Lett. 42, 1582 (1979); U. Sukhatme, in Proceedings of the Seventh Warsaw Symposium on Elementary Particle Physics, Kazimiez, Poland, edited by Z. Ajduk (Institute of Theoretical Physics, Warsaw University, Warsaw, 1984).
125. A. V. Turbiner, Zh. Eksp. Teor. Fiz. 79, 1719 (1980) [Sov. Phys. JETP 52, 868 (1980)].
126. A. V. Turbiner, Zh. Eksp. Teor. Fiz. 79, 1719 (1980) [Sov. Phys. JETP 52, 868 (1980)].
127. V. S. Popov and V. M. Weinberg, ITEP Report No. 101, 1982.
128. T. Imbo and U. Sukhatme, Am. J. Phys. 52, 140 (1984).
129. S. A. Maluendes, F. M. Fernandez, A. M. Meson, and E. A. Castro, Phys. Rev. D 34, 1835 (1986); S. A. Maluendes, F. M. Fernandez, and E. A. Castro, Phys. Lett. A 124, 215 (1987).
130. S. A. Maluendes, F. M. Fernandez, A. M. Meson, and E. A. Castro, Phys. Rev. D 34, 1835 (1986); S. A. Maluendes, F. M. Fernandez, and E. A. Castro, Phys. Lett. A 124, 215 (1987).
131. C. M. Bender and T. T. Wu, Phys. Rev. 184, 1231 (1969); Phys. Rev. Lett. 27, 461 (1971); Phys. Rev. D 7, 1620 (1973).
132. C. M. Bender and T. T. Wu, Phys. Rev. 184, 1231 (1969); Phys. Rev. Lett. 27, 461 (1971); Phys. Rev. D 7, 1620 (1973).
133. C. M. Bender and T. T. Wu, Phys. Rev. 184, 1231 (1969); Phys. Rev. Lett. 27, 461 (1971); Phys. Rev. D 7, 1620 (1973).
134. J. Cizek and E. R. Vrscay, Int. J. Quantum Chem. 21, 27 (1982); L. Skala, J. Cizek, V. Kapsa, and E. J. Weniger, Phys. Rev. A 56, 4471 (1997).
135. J. Cizek and E. R. Vrscay, Int. J. Quantum Chem. 21, 27 (1982); L. Skala, J. Cizek, V. Kapsa, and E. J. Weniger, Phys. Rev. A 56, 4471 (1997).
136. J. O. Hirschfelder, J. Chem. Phys. 33, 1462 (1939); H. Hellman, Einfuhrung in die Quantenchemie (Deuticke, Leipzig, 1937); R. P. Feynman, Phys. Rev. 56, 340 (1939).
137. J. O. Hirschfelder, J. Chem. Phys. 33, 1462 (1939); H. Hellman, Einfuhrung in die Quantenchemie (Deuticke, Leipzig, 1937); R. P. Feynman, Phys. Rev. 56, 340 (1939).
138. J. O. Hirschfelder, J. Chem. Phys. 33, 1462 (1939); H. Hellman, Einfuhrung in die Quantenchemie (Deuticke, Leipzig, 1937); R. P. Feynman, Phys. Rev. 56, 340 (1939).
139. S. S. Stepanov and R. S. Tutik, Zh. Eksp. Teor. Fiz. 100, 415 (1991) [Sov. Phys. JETP 73, 227 (1991)].
140. S. S. Stepanov and R. S. Tutik, Zh. Eksp. Teor. Fiz. 100, 415 (1991) [Sov. Phys. JETP 73, 227 (1991)].
141. A. Zwaan, Ph.D. thesis, University of Utrecht, 1929.
142. J. L. Dunham, Phys. Rev. 41, 713 (1932).
143. R. Dutt and Y. P. Varshni, Z. Phys. D 2, 207 (1986).
144. R. Dutt, T. Imbo, and U. Sukhatme, Z. Phys. D 6, 211 (1987).
145. R. K. Roychoudhury and Y. P. Varshni, Phys. Rev. A 37, 2309 (1988).
146. B. Roy, Phys. Rev. A 34, 5108 (1986).
147. R. Dutt, U. Mukherji, and Y. P. Varshni, J. Phys. B 19, 3411 (1986).
148. R. Sever and C. Tezcan, Phys. Rev. A 35, 2725 (1987).
149. M. Bag, M. M. Panja, R. Dutt, and Y. P. Varshni, Phys. Rev. A 46, 6059 (1992).
150. L. Mlodinow and M. Shatz, J. Math. Phys. 25, 943 (1984).
151. R. Dutt, U. Mukherji, and Y. P. Varshni, J. Phys. B 18, 3311 (1985).
152. R. S. Gangyopadhyay, R. Dutt, and Y. P. Varshni, Phys. Rev. D 32, 3312 (1985).
153. R. Dutt, U. Mukherji, and Y. P. Varshni, Phys. Rev. A 34, 777 (1986).
154. A. Z. Tang and F. T. Chan, Phys. Rev. A 35, 911 (1987).
155. R. K. Roychoudhury, Y. P. Varshni, and M. Sengupta, Phys. Rev. A 42, 184 (1990).
156. Y. P. Varshni, Phys. Rev. A 38, 1595 (1988).
157. P. M. Stevenson, Phys. Rev. D 23, 2916 (1981); Nucl. Phys. B 231, 65 (1984).
158. P. M. Stevenson, Phys. Rev. D 23, 2916 (1981); Nucl. Phys. B 231, 65 (1984).
159. R. J. Swenson and S. H. Danforth, J. Chem. Phys. 57, 1734 (1972).
160. J. Killingbeck, Phys. Lett. 65A, 87 (1978).
161. M. Grant and C. S. Lai, Phys. Rev. A 20, 718 (1979).
162. C. S. Lai and W. C. Lin, Phys. Lett. 78A, 718 (1980).
163. P. P. Ray and A. Ray, Phys. Lett. 83A, 383 (1981).
164. C. S. Lai, Phys. Rev. A 23, 445 (1981).
165. C. S. Lai and M. P. Madan, Z. Phys. A 316, 131 (1984).
166. B. R. McQuarrie and E. R. Vrscay. Phys. Rev. A 47, 868 (1993).
167. R. Sever and C. Tezcan, Phys. Scr. 51, 13 (1995).
168. S. M. McRae and E. R. Vrscay, J. Math. Phys. 33, 3004 (1992).
169. G. Marc and W. G. MacMillan, Adv. Chem. Phys. 58, 209 (1985); F. M. Fernandez, and E. A. Castro, in Hypervirial Theorems, edited by G. Berthier et al., Lecture Notes in Chemistry Vol. 43 (Springer, New York, 1987); E. R. Vrscay, J. Math. Phys. 29, 901 (1988).
170. G. Marc and W. G. MacMillan, Adv. Chem. Phys. 58, 209 (1985); F. M. Fernandez, and E. A. Castro, in Hypervirial Theorems, edited by G. Berthier et al., Lecture Notes in Chemistry Vol. 43 (Springer, New York, 1987); E. R. Vrscay, J. Math. Phys. 29, 901 (1988).
171. G. Marc and W. G. MacMillan, Adv. Chem. Phys. 58, 209 (1985); F. M. Fernandez, and E. A. Castro, in Hypervirial Theorems, edited by G. Berthier et al., Lecture Notes in Chemistry Vol. 43 (Springer, New York, 1987); E. R. Vrscay, J. Math. Phys. 29, 901 (1988).
172. S. H. Patil, Phys. Scr. 51, 465 (1995).
173. R. K. Roychoudhury, Y. P. Varshni, and M. Sengupta, Phys. Rev. A 42, 184 (1990).
174. W. H. Preuss, S. A. Teukolski, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran: The Art of Scientific Computing, 2nd ed. (Cambridge University Press, Cambridge, 1992).
175. J. Della Dora and C. Di-Crescendo, Padé Approximations and Their Applications (Springer, New York, 1979).
176. E. R. Vrscay and J. Cizek, J. Math. Phys. 27, 185 (1986); E. J. Weniger, Phys. Rep. 10, 189 (1989); Phys. Rev. A 56, 5165 (1997).
177. E. R. Vrscay and J. Cizek, J. Math. Phys. 27, 185 (1986); E. J. Weniger, Phys. Rep. 10, 189 (1989); Phys. Rev. A 56, 5165 (1997).
178. E. R. Vrscay and J. Cizek, J. Math. Phys. 27, 185 (1986); E. J. Weniger, Phys. Rep. 10, 189 (1989); Phys. Rev. A 56, 5165 (1997).
179. M. M. Panja and R. Dutt, Phys. Rev. A 38, 3937 (1988).