The Hydrogen and Helium Atoms Confined in Spherical Boxes

Advances in Quantum Chemistry

Volumn 57, Issue , 2009, Pages 123-171

  Aquino, N ^a  

^a DEPARTAMENTO DE QUÍMICA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 65649111668     PISSN: 00653276     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0065-3276(09)00608-X     Document Type: Review

References (204)

1. Michels A., de Boer J., and Bijl A. Physica 4 (1937) 981
2. Sommerfeld A., and Welker H. Ann. Physik [5] 32 (1938) 56
3. de Groot S.R., and ten Seldam C.A. Physica XII (1946) 669
4. Dingle R.B. Proc. Camb. Phil. Soc. 49 (1953) 103
5. Wigner E.P. Phys. Rev. 94 (1954) 77
6. Trees R.E. Phys. Rev. 102 (1956) 1553
7. Gray B.F. J. Chem. Phys. 36 (1962) 1801
8. Gray B.F. J. Chem. Phys. 55 (1971) 2848
9. Aguilera-Navarro V.C., Kloet W.M., and Zimermann A.H. Rev. Brasil Fis. 1 (1971) 55
10. Gray B.F., and Gonda I. J. Chem. Phys. 62 (1975) 2007
11. Cederbaum L.S., and Schönhammer K. Phys. Rev. A 12 (1975) 2257
12. Goodfriend P.L. J. Phys. B: At. Mol. Opt. Phys. 23 (1990) 1373
13. Aquino N. J. Phys. A: Math. Gen. 30 (1997) 2403
14. Gorecki J., and Byers Brown W. J. Phys. B: At. Mol. Opt. Phys. 20 (1987) 5953
15. Gorecki J., and Byers Brown W. J. Phys. B: At. Mol. Opt. Phys. 22 (1989) 2659
16. Marín J.L., and Cruz S.A. J. Phys. B: At. Mol. Opt. Phys. 24 (1991) 2899
17. Marín J.L., and Cruz S.A. Am. J. Phys. 59 (1991) 931
18. Marín J.L., and Cruz S.A. J. Phys. B: At. Mol. Opt. Phys. 25 (1992) 4365
19. Weil J.A. J. Chem. Phys. 71 (1979) 2803
20. Browstein K.R. Phys. Rev. Lett. 71 (1993) 1427
21. Ludeña E.V. J. Chem. Phys. 66 (1977) 468
22. Varshni Y.P. J. Phys. B: At. Mol. Opt. Phys. 30 (1997) L589
23. Varshni Y.P. J. Phys. B: At. Mol. Opt. Phys. 31 (1998) 2848
24. Fernández F.M., and Castro E.A. Int. J. Quantum Chem. 19 (1981) 533
25. Fernández F.M., and Castro E.A. Kinam 4 (1982) 193
26. Fernández F.M., and Castro E.A. J. Math. Phys. 23 (1982) 1103
27. Fernández F.M., and Castro E.A. J. Chem. Phys. 76 (1982) 2506
28. Fernández F.M., and Castro E.A. Int. J. Quantum Chem. XXIV (1983) 169
29. Fernández F.M., and Castro E.A. J. Chem. Phys. 75 (1981) 2908
30. Ley-Koo E., and Rubinstein S. J. Chem. Phys. 71 (1979) 351
31. Ley-Koo E., and Rubinstein S. J. Chem. Phys. 73 (1980) 887
32. Killlinbeck J. Phys. Lett. 84a (1981) 95
33. Friedman M., Rabinovitch A., and Thieberger R. J. Comput. Phys. 33 (1979) 359
34. Aquino N. Int. J. Quantum Chem. 54 (1995) 107
35. N. Aquino, Doctoral thesis, Universidad Autónoma Metropolitana Iztapalapa, México, 1997 (unpublished)
36. Wigner E., and Seitz F. Phys. Rev. 43 (1933) 804
37. Perlson B.D., and Weil J.A. J. Mag. Reson. 15 (1974) 594
38. Suryanrayana D., and Weil J.A. J. Chem. Phys. 64 (1976) 510
39. Aquino N., Campoy G., and Montgomery H.E. Int. J. Quantum Chem. 107 (2007) 1548
40. Goldman S., and Joslin C. J. Phys. Chem. 96 (1992) 6021
41. Burrows B.L., and Cohen M. Int. J. Quantum Chem. 106 (2006) 478
42. Burrows B.L., and Cohen M. Phys. Rev. A 72 (2005) 032508
43. Laughlin C., Burrows B.L., and Cohen M. J. Phys. B: At. Mol. Opt. Phys. 35 (2002) 701
44. Montgomery H.E. Chem. Phys. Lett. 352 (2002) 529
45. Laughlin C. J. Phys. B: At. Mol. Opt. Phys. 37 (2004) 4085
46. Montgomery H.E. Int. J. Mol. Sci 2 (2001) 103
47. Patil S.H. J. Phys. B: At. Mol. Opt. Phys. 35 (2002) 255
48. Fröman P.O., Yngve S., and Fröman N. J. Mat. Phys. 28 (1987) 1813
49. Patil S.H., and Varshni Y.P. Can. J. Phys. 82 (2004) 647
50. Zicovich-Wilson C., Planelles J., and Jaskólski W. Int. J. Quantum Chem. 50 (1994) 429
51. Guimaraes M.N., and Prudente F.V. J. Phys. B: At. Mol. Opt. Phys. 38 (2005) 2811
52. Garza J., Vargas R., and Vela A. Phys. Rev. E 58 (1998) 3949
53. March N.H., and Tosi M.P. Il Nuovo Cimento 18 (1996) 1061
54. Jaskólski W. Phys. Rep. 271 (1996) 1
55. Boeyens J.C.A. J. Chem. Soc. Faraday Trans. 90 (1994) 3377
56. Tian X., Zhuang-Qi C., Yong-Cheng O., Qi-Shun S., and Guo-Long Z. Chinese J. Physics 15 (2006) 1172
57. Kirkwood J.G. Phys. Z 33 (1932) 57
58. Buckinngham A.D., and Lawley K.P. Mol. Phys. 3 (1960) 219
59. Fowler P.W. Mol. Phys. 53 (1984) 865
60. Sen K.D., Garza J., Vargas R., and Aquino N. Phys. Lett. A 295 (2002) 299
61. Sen K.D., Mayer B., Schmidt P.C., Garza J., Vargas R., and Vela A. Int. J. Quantum Chem. 90 (2002) 491
62. Banerjee A., Sen K.D., Garza J., and Vargas R. J. Chem. Phys. 116 (2002) 4054
63. Dutt R., Mukherjee A., and Varshni Y.P. Phys. Lett. A 280 (2001) 318
64. Wilcox W. Am. J. Phys. 57 (1989) 526
65. Glasser M.L. Am. J. Phys. 71 (2003) 574
66. Djajaputra D., and Cooper B.R. Eur. J. Phys. 21 (2000) 261
67. Changa M.E., Scherbinin A.V., and Pupishev V.I. Int. J. Quantum Chem. 96 (2004) 167
68. Friedman M., Rabinovitch A., and Thieberger R. J. Comp. Phys. 33 (1979) 359
69. Pupyshev V.I., and Scherbinin A.V. Phys. Lett. A 299 (2002) 371
70. Drigo E., and Ricotta R.M. Phys. Lett. A 299 (2002) 137
71. Meng X.J., Zhu X.R., and Tian M.F. Chinese Phys. Lett. 22 (2005) 310
72. Weiss F., Elkind J.L., O'brien S.C., Curl R.F., and Smalley R.E. J. Am. Chem. Soc. 110 (1988) 4464
73. Wang L.S., Alford J.M., Chai Y., Diener M., and Smalley R.E. Z. Phys. D 26 (1993) S297
74. Decleva P., De Alti G., Fronzoni G., and Stener M. J. Phys. B: At. Mol. Opt. Phys. 32 (1999) 4523
75. Wang L.S., Alford J.M., Chai Y., Diener M., Zhang J., McClure S.M., Guo T., Scuseria G.E., and Smalley R.E. Chem. Phys. Lett. 207 (1993) 354
76. Joslin C.G., Yang J., Gray C.G., Goldman S., and Doll J.D. Chem. Phys. Lett. 208 (1993) 86
77. Broclawik E., and Eilmes A. J. Chem. Phys. 108 (1998) 3498
78. Hernández-Rojas J., Breton J., and Gomez Llorente J.M. J. Chem. Phys. 104 (1996) 1179
79. Zhu J.L., and Chen X. Phys. Rev. B 50 (1994) 4497
80. Porras-Montenegro N., Pérez-Merchencano S.T., and Latgé A. J. Appl. Phys. 74 (1993) 7624
81. Zhu J.L. Phys. Rev. B 39 (1989) 8780
82. Zhu J.L., Xiong J.J., and Gu B.L. Phys. Rev. B 41 (1990) 6001
83. Silva-Valencia J., and Porras-Montenegro N. J. Appl. Phys. 81 (1997) 901
84. Diamond J.J., Goodfriend P.L., and Tsonchev S. J. Phys. B: At. Mol. Opt. Phys. 24 (1991) 3669
85. Changa M.E., Scherbinin A.V., and Pupyshev V.I. J. Phys. B: At. Mol. Opt. Phys. 33 (2000) 421
86. Ting-yun S., Hao-xue Q., and Bai-wen L. J. Phys. B: At. Mol. Opt. Phys. 33 (2000) L349
87. Movilla J.L., and Planelles J. Phys. Rev. B 71 (2005) 075319
88. Ley-Koo E., and Cruz S.A. J. Chem. Phys. 74 (1981) 4603
89. Patil S.H. J. Phys. B: At. Mol. Opt. Phys. 34 (2001) 1049
90. Satpathy S. Phys. Rev. B 28 (1983) 4585
91. Liu Z., and Lin D.L. Phys. Rev. B 28 (1983) 4413
92. Kovalenko A.F., Sovyak E.N., and Golovko M.F. Phys. Stat. Sol. b 155 (1989) 549
93. Levine J.D. Phys. Rev. 140 (1965) 586
94. Ley-Koo E., and García-Castellan R.M.G. J. Phys. A: Mat. Gen. 24 (1991) 1481
95. Krähmer D.S., Schleich W., and Yakovlev V. J. Phys. A: Mat. Gen. 31 (1998) 4493
96. Ley-Koo E., and Mateos-Cortés S. Am. J. Phys. 61 (1993) 246
97. Ley-Koo E., and Mateos-Cortés S. Int. J. Quantum Chem. 46 (1993) 609
98. Kovalenko A.F., and Holovko M.F. J. Phys. B: At. Mol. Opt. Phys. 25 (1992) L233
99. ten Seldam C.A., and de Groot S.R. Physica 18 (1952) 891
100. ten Seldam C.A., and de Groot S.R. Physica 18 (1952) 905
101. Gimarc B.M. J. Chem. Phys. 47 (1967) 5110
102. Ludena E.V. J. Chem. Phys. 69 (1978) 1770
103. Ludeña E.V., and Gregori M. J. Chem. Phys. 71 (1979) 2235
104. Gorecki J., and Byers-Brown W. J. Phys. B: At. Mol. Opt. Phys 21 (1988) 403
105. Joslin C., and Goldman S. J. Phys. B: At. Mol. Opt. Phys. 25 (1992) 1965
106. Ley-Koo E., and Flores-Flores A. Int. J. Quantum Chem. 66 (1998) 123
107. Corella-Madueño A., Rosas R.A., Marín J.L., and Riera R. Int. J. Quantum Chem. 77 (2000) 509
108. Rivelino R., and Vianna J.D.M. J. Phys. B: At. Mol. Opt. Phys. 34 (2001) L645
109. Sabin P.B., and Sabin J.R. Int. J. Quantum Chem. 82 (2001) 277
110. H.E. Montgomery, unpublished data
111. Bielinska-Waz D., Karwowski J., and Diercksen G.H.F. J. Phys. B: At. Mol. Opt. Phys. 34 (2001) 1987
112. Sako T., Yamamoto S., and Diercksen G.H.F. J. Phys. B: At. Mol. Opt. Phys. 36 (2003) 1681
113. Mukherjee P.K., Karwowski J., and Diercksen G.H.F. Chem. Phys. Lett. 363 (2002) 323
114. Saha B., Mukherjee T.K., Mukherjee P.K., and Diercksen G.H.F. Theor. Chem. Acc. 108 (2002) 305
115. Aquino N., Flores-Riveros A., and Rivas-Silva J.F. Phys. Lett. A 307 (2003) 326
116. Varshni Y.P. Eur. Phys. J. D 22 (2003) 229
117. Aquino N., Garza J., Flores-Riveros A., Rivas-Silva J.F., and Sen K.D. J. Chem. Phys. 124 (2006) 054311
118. Banerjee A., Kamal C., and Chowdhury A. Phys. Lett. A 350 (2006) 121
119. Wen-Fang X. Chin. Phys. Lett. 23 (2006) 1742
120. Whitkop P.G. Int. J. Quantum Chem. 73 (1999) 459
121. Díaz-García C., and Cruz S.A. Phys. Lett. A 353 (2006) 332
122. Bielinska-Waz D., Karwowski J., and Diercksen G.F.H. J. Phys. B: At. Mol. Opt. Phys. 34 (2001) 1987
123. Garza J., Vargas R., Aquino N., and Sen K.D. J. Chem. Sci. 117 (2005) 379
124. Sen K.D., Garza J., Vargas R., and Vela A. Chem. Phys. Lett. 325 (2000) 29
125. Garza J., Vargas R., Vela A., and Sen K.D. J. Mol. Strcut. (Theochem) 501 (2000) 183
126. Buchachenko A.L. J. Phys. Chem. B 105 (2001) 5839
127. Conerade J.P., Dolmatov V.K., and Lakshmi P.A. J. Phys. B: At. Mol. Opt. Phys. 33 (2000) 251
128. Dolmatov V.K., Baltenkov A.S., Connerade J.P., and Manson S.T. Rad. Phys. Chem. 70 (2004) 417 and references therein
129. Bader R.F.W., and Austen M.A. J. Chem. Phys. 107 (1997) 4271
130. Chattaraj P.K., and Sarkar U. J. Phys. Chem. A 107 (2003) 4877
131. Borgoo A., Tozer D.J., Geerlings P., and De Proft F. Phys. Chem. Chem. Phys. 10 (2008) 1406
132. Gruchowski M., and Szmytkowski R. J. Phys. A: Mat. Gen. 37 (2004) 7783
133. Cotrell T.L. Trans. Faraday Soc. 47 (1951) 337
134. Singh K.K. Physica 30 (1964) 211
135. Lesar R., and Hersbach D.R. J. Phys. Chem. 85 (1981) 2798
136. Lesar R., and Hersbach D.R. J. Phys. Chem. 87 (1983) 5202
137. Gorecki J., and Byers-Brown W.J. J. Chem. Phys. 89 (1988) 2138
138. Mateos-Cortés S., Ley-Koo E., and Cruz S.A. Int. J. Quantum Chem. 86 (2002) 376
139. Pang T. Phys. Rev. A 49 (1994) 1709
140. Pupyshev V.I., and Bobrikov V.V. Int. J. Quantum Chem. 100 (2004) 528
141. Bobrikov V.V., and Pupyshev V.I. Russian Chem. Bull. 54 (2005) 1
142. Lo J.M.H., Klobuskowski M., Bielinska-Waz D., Schreiner E.W.S., and Diercksen G.H.F. J. Phys. B: At. Mol. Phys. 39 (2006) 2385
143. Bielinska-Waz D., Diercksen G.H.F., and Klobuskowski M. Chem. Phys. Lett. 349 (2001) 215
144. Auluck F.C. Proc. Nat. Inst. Sci. India 7 (1941) 133
145. Kothari D.S., and Auluck F.C. Sci. Culture 6 (1940) 370
146. Auluck F.C. Proc. Nat. Inst. Sci. India 8 (1942) 147
147. Chandrasekhar S. Astrophys. J. 97 (1943) 263
148. Corson E.M., and Kaplan I. Phys. Rev 71 (1947) 130
149. Dingle R.B. Proc. R. Soc. London Ser. A 212 (1952) 47
150. Auluck F.C. Proc. Nat. Inst. Sci. India 7 (1941) 383
151. Auluck F.C., and Kothari D.S. Proc. Cambridge Philos. Soc. 41 (1945) 175
152. Baijal J.S., and Singh K.K. Progr. Theoret. Phys. (Kyoto) 14 (1955) 214
153. Hull T.E., and Julius R.S. Can. J. Phys. 34 (1956) 914
154. Sengupta S., and Gjosh S. Phys. Rev. 115 (1959) 1681
155. Singh K.K. Physica 30 (1964) 211
156. Suryan B. Phys. Rev. 71 (1947) 741
157. Dean P. Proc. Cambridge Phil. Soc. 62 (1966) 277
158. Vawter R. Phys. Rev. 174 (1968) 749
159. Vawter R. J. Math. Phys. 14 (1973) 1864
160. Consortini A., and Frieden B.R. Nuovo Cimento 35B (1976) 153
161. Rotbart F.C. J. Phys. A: Math. Gen. 11 (1978) 2363
162. Fernández F.M., and Castro E.A. Int. J. Quantum Chem. 19 (1981) 521
163. Aguilera-Navarro V.C., Gomes J.F., Zimerman A.H., and Ley-Koo E. J. Phys. A: Math. Gen. 16 (1983) 2943
164. Fernández F.M., and Castro E.A. Int. J. Quantum Chem. 20 (1981) 623
165. Swenson R.J., and Danforth S.H. J. Chem. Phys. 57 (1972) 1734
166. Aguilera-Navarro V.C., Ley-Koo E., and Zimerman A.H. J. Phys. A: Math. Gen. 13 (1980) 3585
167. Fernández F.M., and Castro E.A. Phys. Rev. A 24 (1981) 2883
168. Arteca G.A., Maluendes S.A., Fernández F.M., and Castro E.A. Int. J. Quantum Chem. 24 (1983) 169
169. Sinha A., and Roydchoudhury R. Int. J. Quantum Chem. 73 (1999) 497
170. Campoy G., Aquino N., and Granados V.D. J. Phys A: Math. Gen. 35 (2002) 4903
171. Aquino N., Castaño E., Campoy G., and Granados V.D. Eur. J. Phys. 22 (2001) 645
172. H.E. Montgomery Jr., G. Campoy, N. Aquino, arXiv:0803.4029v1[math-phy], 28 Mar 2008
173. Chaudhury S. Phys. Rev. B 28 (1983) 4480
174. Lin M.W., and Quinn J.J. Phys. Rev. B 31 (1985) 2348
175. Larsen D.M., and McCann S.Y. Phys. Rev. B 45 (1992) 3485
176. Larsen D.M., and McCann S.Y. Phys. Rev. B 46 (1992) 3966
177. Brown J.W., and Spector H.N. J. Appl. Phys. 59 (1986) 1179
178. Brown J.W., and Spector H.N. J. Appl. Phys. 35 (1987) 3009
179. Tsonchev S.I., and Goodfriend P.L. J. Phys. B: At. Mol. Opt. Phys. 25 (1992) 4685
180. Zhu J.L., Zhao J.H., and Xiong J.J. J. Phys. Condens. Mat. 6 (1994) 5097
181. Zhu J.L., and Chen X. J. Phys. Condens. Mat. 6 (1994) L123
182. El-Said M. Superlattices and Microstruct. 23 (1998) 1237
183. Garm T. J. Phys. Condens. Mat. 8 (1996) 5723
184. Zhu J.L., Yu J.Z., Li Z.Q., and Kawazoe Y. J. Phys. Condens. Mat. 8 (1996) 7857
185. Bastard G. Phys. Rev. B 24 (1981) 4714
186. Aquino N., Campoy G., and Flores-Riveros A. Int. J. Quantum. Chem. 103 (2005) 267
187. Aquino N., and Castaño E. Rev. Mex. Fís. 44 (1998) 628
188. Aquino N., and Castaño E. Rev. Mex. Fís. E 51 (2005) 126
189. Chaos-Cador L., and Ley-Koo E. Int. J. Quantum Chem. 103 (2005) 369
190. Palma A., and Campoy G. Phys. Lett. 121A (1987) 221
191. Campoy G., and Palma A. Int. J. Quantum. Chem. Symp. S20 (1986) 33
192. Aquino N., Campoy G., and Yee-Madeira H. Chem. Phys. Lett. 296 (1998) 111
193. Rivas-Silva J.F., Campoy G., and Palma A. Int. J Quantum Chem. XL (1991) 405
194. Green L.C., Mulder M.M., Lewis M.N., and Woll J.W. Phys. Rev. 93 (1954) 757
195. Lam C.S., and Varshni Y.P. Phys. Rev. A 27 (1983) 418
196. Le Sech C. Chem. Phys. Lett. 200 (1992) 369
197. Varshni Y.P. Phys. Rev. A 38 (1988) 1595
198. Hirschfelder J.O. J. Chem. Phys. 33 (1960) 1462
199. Killingbeck J. Phys. Lett. A 65 (1978) 87
200. Cottrell T.L., and Paterson S. Philos. Mag. 42 (1951) 391
201. Christoffersen R.E. Basic Principles and Techniques of Molecular Quantum Mechanics (1989), Springer-Verlag, New York pp. 363-368
202. Levine I.N. Quantum Chemistry (1991), Prentice Hall, New Jersey pp. 202-205
203. Lowe J.P. Quantum Chemisty (1978), Academic Press, New York pp. 157-166
204. Kauzmann W. Quantum Chemisty An Introduction (1957), Academic Press, New York pp. 125-127