Abstract
The positron, which existence has been foreseen by Dirac theory and his invariant wave equation [1], is the antiparticle of the electron, with the mass and spin equal to those of the electron, but with the opposite (positive) charge. The particle itself has been detected in the cosmic rays by Anderson [2] in 1933, whereas in 1946 Wheeler predicted the possibility of the stability of positronic complex systems [3]. These systems decay by annihilation and are not easily accessible to the observation due to their short lifetimes (typically not exceeding 1 ns). They appeared to be a real challenge for the standard methods of computational quantum chemistry.
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References
P. A. M. Dirac, Proc. Camb. Phil. Soc. 26, 361 (1930)
C. D. Anderson, Phys. Rev. 43, 491 (1933)
J. A. Wheeler, Ann. N. Y. Acad. Sci. 48, 219 (1946)
K. Strasburger, Int. J. Quantum Chem. 79, 243 (2000)
D. M. Schrader, Y. C. Jean, in Positron and Positronium Chemistry, Elsevier 1988, pp. 5-10, 16-19, 67-75; Y. C. Jean, P. E. Mallon, D. M. Schrader (Eds), Principles and Applications of Positron and Positronium Chemistry, World Scientific, New Jersey, 2003.
S. Mohorovicic, Astron. Nachr. 253, 94 (1934)
E. A. Hylleraas, Phys. Rev. 71, 491 (1947)
W. Kolos, C. C. J. Roothaan, R. A. Sack, Rev. Mod. Phys. 32, 178 (1960)
A. A. Frost, M. Inokuti, J. P. Lowe, J. Chem. Phys. 41, 482 (1964)
P. Cavaliere, G. Ferrante, R. Geracitano, L. Lo Cascio, J. Chem. Phys. 63, 624 (1975)
A. K. Bhatia, R. J. Drachman, Phys. Rev. A 28, 2523 (1983)
P. Petelenz, V. H. Smith, Phys. Rev. A 36, 5125 (1987)
Y. K. Ho, Phys. Lett. A 144, 237 (1990)
A. M. Frolov, D. M. Bishop, Phys. Rev. A 45, 6236 (1992)
Y. K. Ho, Phys. Rev. A 48, 4780 (1993)
A. M. Frolov, Phys. Rev. A, 57, 2436 (1998)
A. M. Frolov, Phys. Rev. A, 60, 2834 (1999)
V. I. Korobov, Phys. Rev. A 61, 064503 (2000)
A. P. Mills Jr., Phys. Rev. Lett. 46, 717 (1981)
A. P. Mills Jr., Phys. Rev. Lett. 50, 671, (1983)
E. A. Hylleraas, A. Ore, Phys. Rev. 71, 493 (1947)
A. A. Ore, Phys. Rev. 71, 913 (1947)
R. R. Sharma, Phys. Rev. 171, 36 (1968)
B. Akimoto, E. Hanamura, Solid State Commun. 10, 253 (1972)
W.-T. Huang, Phys. Status Solidi 60, 309 (1973)
W. F. Brinkman, T. M. Rice, B. Bell, Phys. Rev. B 8, 1570 (1973)
M. A. Lee, P. Vashista, P. K. Kalia, Phys. Rev. Lett. 51, 2422 (1973)
F. R. Vukajlovic, S. I. Vinitsky, Phys. Rev. B 31, 6079 (1985)
F. R. Vukajlovic, S. I. Vinitsky, Phys. Lett. A 118, 185 (1986)
Y. K. Ho, Phys. Rev. A 33, 3584 (1986)
Y. K. Ho, Phys. Rev. A 39, 2709 (1989)
D. B. Kinghorn, R. D. Poshusta, Phys. Rev. A 47, 3671 (1993)
P. M. Kozlowski, L. Adamowicz, Phys. Rev. A 48, 1903 (1993)
P. M. Kozlowski, L. Adamowicz, J. Phys. Chem. 100, 6266 (1996)
A. M. Frolov, V. H. Smith, Phys. Rev. A 55, 2662 (1997)
A. A. Ore, Phys. Rev. 83, 665 (1951)
S. M. Neamtan, G. Darevych, G. Oczkowski, Phys. Rev. 126, 193196 (1962)
C. F. Lebeda, D. M. Schrader, Phys. Rev. 178, 24 (1969)
P. B. Navin, D. M. Schrader, C. F. Lebeda, Phys. Rev. A 9, 2248 (1974)
S. K. Houston, R. J. Drachman, Phys. Rev. A 7, 819 (1973)
B. A. P. Page, P. A. Fraser, J. Phys. B: Atom. Mol. Phys. 7, L389 (1974)
R. J. Drachman, Y. K. Ho, S. K. Houston, J. Phys. B: Atom. Molec. Phys. 9, L199 (1974)
D. C. Clary, J. Phys. B: At. Mol. Phys. 9, 3115 (1976)
Y. K. Ho, Phys. Rev. A 17, 1675 (1978)
Y. K. Ho, Phys. Rev. A 34, 609 (1986)
A. M. Frolov, V. H. Smith, Phys. Rev. A 56, 2417 (1997)
K. Strasburger, H. Chojnacki, J. Chem. Phys. 108, 3218 (1998)
G. G. Ryzhikh, J. Mitroy, K. Varga, J. Phys. B 31, 3965 (1998)
J. Usukura, K. Varga, Y. Suzuki, Phys. Rev. A 58, 1918 (1998)
Z. C. Yan, Y. K. Ho, Phys. Rev. A 59, 2697 (1999)
W. I. Goldanskij, A. W. Iwanowa, E. P. Prokopiew, Zh. Eksp. Teor. Fiz. 47, 659 (1964)
O. G. Ludwig, R. G. Parr, Theor. Chim. Acta 5, 440 (1966)
K. Strasburger, H. Chojnacki, Chem. Phys. Lett. 241, 485 (1995)
M. W. J. Bromley, J. Mitroy, G. G. Ryzhikh, Nuclear Instruments and Methods in Physics Research B, 171, 47 (2000)
M. W. J. Bromley, J. Mitroy, Phys. Rev. A 65, 012505 (2002)
D. M. Schrader, F. M. Jacobsen, N.-P. Frandsen, U. Mikkelsen, Phys. Rev. Lett. 69, 57 (1992)
G. G. Ryzhikh, J. Mitroy, J. Phys. B 31, 3465 (1999).
G. G. Ryzhikh, J. Mitroy, J. Phys. B 31, L401 (1998)
G. G. Ryzhikh, J. Mitroy, J. Phys. B 32, 4051 (1999). [60) G. G. Ryzhikh, J. Mitroy, Phys. Rev. Lett. 79, 4124 (1997)
G. G. Ryzhikh, J. Mitroy, K. Varga, J. Phys. B 31, L265 (1998)
J. Mitroy, M. W. J. Bromley, G. G. Ryzhikh, in New Directions in Antimatter Chemistry and Physics, Kluwer 2001, p. 199 - 221
J. Mitroy, G. G. Ryzhikh, J. Phys. B 34, 2001 (2001)
G. G. Ryzhikh, J. Mitroy, J. Phys. B 31, 4459 (1998)
J. Mitroy, G. G. Ryzhikh, J. Phys.B 32, 1375 (1999)
G. G. Ryzhikh, J. Mitroy, J. Phys. B 31, 5013 (1998)
G. G. Ryzhikh, J. Mitroy, J. Phys. B 32, 3839 (1999)
K. Varga, Phys. Rev. Lett. 83, 5471 (1999)
J. Mitroy, G. G. Ryzhikh, J. Phys. B 32, L621 - L628 (1999)
J. Z. Mezei, R. G. Lovas, J. Mitroy, K. Varga, Phys. Rev. A 64, 032501 (2001)
A. Harju, B. Barbiellini, R. M. Nieminen, Phys. Rev. A 54, 4849 (1996)
M. Mella, G. Morosi, D. Bressanini, J. Chem. Phys. 111, 108 (1999)
G. G. Ryzhikh, J. Mitroy, J. Phys. B 31, L103 (1998)
D. Bressanini, M. Mella, G. Morosi, J. Chem. Phys. 108, 4756 (1998)
T. Yoshida, G. Miyako, Phys. Rev. A 54, 4571 (1996)
S. L. Saito, F. Sasaki, J. Chem. Phys. 102, 8040 (1995)
J. Komasa, W. Cencek, J. Rychlewski, Phys. Rev. A 52, 4500 (1995)
W. Cencek, J. Rychlewski, Chem. Phys. Lett. 320, 549 (2000)
K. Strasburger, 11th European Seminar on Computational Methods in Quantum Chemistry, Zakopane, Poland, September 1999
H. A. Kurtz, K. D. Jordan, J. Chem. Phys. 75, 1876 (1981)
K. Strasburger, Chem. Phys. Lett. 253, 49 (1996)
K. Strasburger, J. Chem. Phys. 111, 10555 (1999)
K. Strasburger, J. Chem. Phys. 114, 615 (2001)
J. Mitroy, G. G. Ryzhikh, J. Phys. B 33, 3495 (2000)
D. Bressanini, M. Mella, G. Morosi, J. Chem. Phys. 109, 1716 (1998)
M. Melia, G. Morosi, D. Bressanini, S. Elli, J. Chem. Phys. 113, 6154 (2000)
G. Baur et al., Phys. Lett. B 368, 251 (1996)
G. Blanford et al., Phys. Rev. Lett. 80, 3037 (1998)
B. R. Junker, J. N. Bardsley, Phys. Rev. Lett. 28, 1227 (1972)
W. Kolos, D. L. Morgan, D. Schrader, L. Wolniewicz, Phys. Rev. A 11, 1792 (1975)
E. A. G. Armour, J. M. Carr, V. Zeman, J. Phys. B 31, L679 (1998)
E. A. G. Armour, J. M. Carr, V. Zeman, Hyperfine Interactions 118, 63 (1999)
E. A. G. Armour, V. Zeman, Int. J. Quantum Chem. 74, 645 (1999)
S. Jonsell, A. Saenz, P. Froelich, Nucl. Phys. A 663, C959 (2000)
K. Strasburger, H. Chojnacki, Phys. Rev. Lett. 88, 163201 (2002)
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Strasburger, K., Chojnacki, H. (2003). Quantum Chemical Calculations on Positronic Systems. In: Rychlewski, J. (eds) Explicitly Correlated Wave Functions in Chemistry and Physics. Progress in Theoretical Chemistry and Physics, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0313-0_10
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DOI: https://doi.org/10.1007/978-94-017-0313-0_10
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