Czasopismo
Tytuł artykułu
Warianty tytułu
Języki publikacji
Abstrakty
We analyze the convergence properties of the connected moments expansion (CMX) for the Rabi Hamiltonian. To this end we calculate the moments and connected moments of the Hamiltonian operator to a sufficiently large order. Our large-order results suggest that the CMX is not reliable for most practical purposes because the expansion exhibits considerable oscillations.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Numer
Strony
102-108
Opis fizyczny
Daty
wydano
2012-02-01
online
2011-12-03
Twórcy
autor
- Facultad de Ciencias, CUICBAS, Universidad de Colima, Bernal Díaz del Castillo 340, Colima, Colima, México, paolo.amore@gmail.com
autor
- INIFTA (UNLP, CCT La Plata-CONICET), División Química Teórica, Blvd. 113 y 64 (S/N), Sucursal 4, Casilla de Correo 16, 1900, La Plata, Argentina
autor
- Facultad de Ciencias, CUICBAS, Universidad de Colima, Bernal Díaz del Castillo 340, Colima, Colima, México
Bibliografia
- [1] D. Horn, M. Weinstein, Phys. Rev. D 30, 1256 (1984) http://dx.doi.org/10.1103/PhysRevD.30.1256[Crossref]
- [2] H. Cramer, Mathematical methods of statistics (Princeton University Press, Princeton, 1946)
- [3] R. Kubo, J. Phys. Soc. Jpn. 17, 1100 (1962) http://dx.doi.org/10.1143/JPSJ.17.1100[Crossref]
- [4] C. Stubbins, Phys. Rev. D 38, 1942 (1988) http://dx.doi.org/10.1103/PhysRevD.38.1942[Crossref]
- [5] J. Cioslowski, Phys. Rev. Lett. 58, 83 (1987) http://dx.doi.org/10.1103/PhysRevLett.58.83[Crossref]
- [6] P. Knowles, Chem. Phys. Lett. 134, 512 (1987) http://dx.doi.org/10.1016/0009-2614(87)87184-1[Crossref]
- [7] J. D. Mancini, Y. Zhou, P. F. Meier, Int. J. Quantum Chem. 50, 101 (1994) http://dx.doi.org/10.1002/qua.560500203[Crossref]
- [8] J. Cioslowski, Phys. Rev. A 36, 374 (1987) http://dx.doi.org/10.1103/PhysRevA.36.374[Crossref]
- [9] J. Cioslowski, Int. J. Quantum Chem. 21, 563 (1987) http://dx.doi.org/10.1002/qua.560320756[Crossref]
- [10] J. Cioslowski, Phys. Rev. A 36, 3441 (1987) http://dx.doi.org/10.1103/PhysRevA.36.3441[Crossref]
- [11] J. Cioslowski, Chem. Phys. Lett. 136, 515 (1987) http://dx.doi.org/10.1016/0009-2614(87)80509-2[Crossref]
- [12] W. J. Massano, S. P. Bowen, J. D. Mancini, Phys. Rev. A 39, 4301 (1989) http://dx.doi.org/10.1103/PhysRevA.39.4301[Crossref]
- [13] J. D. Mancini, J. D. Prie, W. J. Massano, Phys. Rev. A 43, 1777 (1991) http://dx.doi.org/10.1103/PhysRevA.43.1777[Crossref]
- [14] V. Fessatidis, J. D. Mancini, S. P. Bowen, Phys. Lett. A 297, 100 (2002) http://dx.doi.org/10.1016/S0375-9601(02)00263-3[Crossref]
- [15] V. Fessatidis, F. A. Corvino, J. D. Mancini, R. K. Murawski, J. Mikalopas, Phys. Lett. A 374, 2890 (2010). http://dx.doi.org/10.1016/j.physleta.2010.05.010[Crossref]
- [16] J. D. Mancini, Y. Zhou, P. F. Meier, W. J. Massano, J. D. Price, Phys. Lett. A 185, 435 (1994) http://dx.doi.org/10.1016/0375-9601(94)90181-3[Crossref]
- [17] K. C. Lee C. F. Lo, Nuovo Cimento D 15, 1483 (1993) http://dx.doi.org/10.1007/BF02451940[Crossref]
- [18] N. S. Witte R. Shankar, Nucl. Phys. B 556, 445 (1999) http://dx.doi.org/10.1016/S0550-3213(99)00315-6[Crossref]
- [19] J. D Mancini, R. K. Murawski, V Fessatidis, S. P. Bowen, Phys. Rev. B 72, 214405 (2005) http://dx.doi.org/10.1103/PhysRevB.72.214405[Crossref]
- [20] V. Fessatidis, J. D. Mancini, R. Murawski, S. P. Bowen, Phys. Lett. A 349, 320 (2006) http://dx.doi.org/10.1016/j.physleta.2005.09.039[Crossref]
- [21] V. Fessatidis, J. D. Mancini, S. P. Bowen, M. Campuzano, J. Math. Chem. 44, 20 (2008) http://dx.doi.org/10.1007/s10910-007-9289-8[Crossref]
- [22] I. Bartashevich, Int. J. Quantum Chem. 108, 272 (2008) http://dx.doi.org/10.1002/qua.21498[Crossref]
- [23] J. K. L. MacDonald, Phys. Rev. 43, 830 (1933) http://dx.doi.org/10.1103/PhysRev.43.830[Crossref]
- [24] M. G. Marmorino, Int. J. Quantum Chem. 108, 1304 (2008) http://dx.doi.org/10.1002/qua.21627[Crossref]
- [25] F. M. Fernandez, arXiv:0807.1442 [math-ph]
- [26] F. M. Fernandez, Int. J. Quantum Chem. 109, 717 (2009) http://dx.doi.org/10.1002/qua.21854[Crossref]
- [27] P. Amore F. M. Fernandez, Phys. Scripta 80, 055002 (2009) http://dx.doi.org/10.1088/0031-8949/80/06/065010[Crossref]
- [28] L. Samaj, P. Kalinay, P. Markos, I. Travenec, J. Phys. A 30, 1471 (1997) http://dx.doi.org/10.1088/0305-4470/30/5/015[Crossref]
- [29] F. Pan, X. Guan, Y. Wang, J. P. Draayer, J. Phys. B 43, 175501 (2010) http://dx.doi.org/10.1088/0953-4075/43/17/175501[Crossref]
- [30] R. F. Bishop, N. J. Davidson, R. M. Quick, D. M. van der Walt, Phys. Lett. A 254, 215 (1999) http://dx.doi.org/10.1016/S0375-9601(99)00074-2[Crossref]
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-011-0101-9