Navegar

Colección

Datos Estadísticas

Artículo

El editor solo permite decargar el artículo en su versión post-print desde el repositorio. Por favor, si usted posee dicha versión, enviela a
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

Short-time propagator algorithms and a discrete-time formalism are used in combination with a basis set involving Grassmann variables coherent states to get the generating function associated to a system containing spin degrees of freedom. This generating function leads, after an adequate tracing over Grassmann variables in the imaginary time domain, to the partition function. A spin 1/2 Hamiltonian involving the whole set of interactions is considered. The partition function, obtained as a cluster expansion expressed as an ordered sum over all possible sites, is more realistic than the partition function of the traditional Ising model involving only first neighbor interactions. © 2002 Elsevier Science B.V. All rights reserved.

Registro:

Documento: Artículo
Título:Grassmann coherent states for spin systems
Autor:Anicich, P.G.O.; Grinberg, H.
Filiación:Departamento de Física, Fac. de Ciencias Exact. y Naturales, Universidad de Buenos Aires, Pabellón 1, 1428 Buenos Aires, Argentina
Palabras clave:Grassmann algebra; Ising model; Path integral; Spin system; acceleration; algorithm; conference paper; mathematical model; molecular interaction; partition coefficient; quantum mechanics; system analysis
Año:2003
Volumen:621
Número:1-2
Página de inicio:9
Página de fin:18
DOI: http://dx.doi.org/10.1016/S0166-1280(02)00528-6
Título revista:Journal of Molecular Structure: THEOCHEM
Título revista abreviado:J. Mol. Struct. THEOCHEM
ISSN:01661280
CODEN:THEOD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01661280_v621_n1-2_p9_Anicich

Referencias:

  • Endoh, Y., Shirane, G., Birgeneau, R.J., Richards, P.M., Holt, S.L., (1974) Phys. Rev. Lett., 32, pp. 170-173
  • Suzuki, M., (1976) Prog. Theor. Phys., 56, pp. 1454-1469
  • Barma, M., Shastry, B.S., (1977) Phys. Lett., 61 A, pp. 15-18
  • Barma, M., Shastry, B.S., (1978) Phys. Rev. B, 18, pp. 3351-3359
  • Kashiwa, T., Ohmuki, Y., Suzuki, M., (1997) Path Integral Methods, , Clarendon Press, Oxford, and references therein
  • Ramírez, R., López-Ciudad, T., (2001) J. Chem. Phys., 115, pp. 103-114
  • Blinov, N.V., Roy, P.N., Voth, G.A., (2001) J. Chem. Phys., 115, pp. 4484-4495
  • Klauder, J.R., (1960) Ann. Phys. (NY), 11, pp. 123-168
  • Zhang, W.-M., Feng, D.H., Gilmore, R., (1990) Rev. Mod. Phys., 62, pp. 867-927
  • Papadopoulos, G.J., (1978) Path Integrals and Their Applications in Quantum Statistical and Solid State Physics, pp. 85-162. , G.J. Papdopoulos, J.T. Devreese (Eds.), Plenum Press, New York, and references therein
  • Jevicki, A., Papanicolaou, N., (1979) Ann. Phys. (NY), 120, pp. 107-128
  • Nielsen, H.B., Röhrlich, D., (1988) Nucl. Phys. B, 299, pp. 471-483
  • Klauder, J.R., (1979) Phys. Rev. D, 19, pp. 2349-2356
  • Kuratsuji, H., Suzuki, T., (1980) J. Math. Phys., 21, pp. 472-476
  • Woodhouse, N.M.J., (1992) Geometric Quantization, , Oxford University Press, Oxford
  • Stone, M., (1989) Nucl. Phys. B, 314, pp. 557-586
  • Keskivakkuri, E., Niemi, A.J., Semenoff, G., Tirkonen, O., (1991) Phys. Rev. D, 44, pp. 3899-3905
  • Chudnovsky, E.M., Gunther, L., (1988) Phys. Rev. Lett., 60, pp. 661-664
  • Loss, D., Vincenzo, D.P., Grinstein, G., (1992) Phys. Rev. Lett., 69, pp. 3232-3235
  • Von Delft, J., Henley, C.L., (1992) Phys. Rev. Lett., 69, pp. 3236-3239
  • Wernsdorfer, W., Sessoli, R., (1999) Science, 284, pp. 133-135
  • Klauder, J.R., Skagerstam, B.S., (1985) Coherent States, Applications in Physics and Mathematical Physics, , World Scientific, Singapore
  • Glauber, R., (1963) J. Phys. Rev. Lett., 10, pp. 84-86
  • Deumens, E., Diz, A., Longo, R., Öhm, Y., (1994) Rev. Mod. Phys., 66, pp. 917-983
  • Morales, J.A., Deumens, E., Öhm, Y., (2000) J. Math. Phys., 40, pp. 766-786
  • Mauritz Anderson, L., (2001) J. Chem. Phys., 115, pp. 1158-1165
  • Blaizot, J.P., Orland, H., (1981) Phys. Rev. C, 24, pp. 1740-1761
  • Suzuki, T., (1983) Nucl. Phys. A, 398, p. 557
  • Fukui, T., (1993) J. Math. Phys., 34, pp. 4455-4468
  • Grinberg, H., Marañón, J., (1990) J. Mol. Struct. (Theochem), 210, pp. 39-44
  • Calamante, F., Bochicchio, R.C., Grinberg, H., (1994) Int. J. Quant. Chem., 49, pp. 789-804
  • Kuratsuji, H., Mizobouchi, Y., (1981) J. Math. Phys., 22, pp. 757-764
  • Samuel, S., (1980) J. Math. Phys., 21, pp. 2806-2814
  • Nojima, K., (1998) Int. J. Mod. Phys. B, 12, pp. 1995-2003
  • Berezin, F.A., (1965) The Method of Second Quantization, , Academic Press, New York
  • Fukutome, H., (1981) Prog. Theor. Phys., 65, pp. 809-827

Citas:

---------- APA ----------
Anicich, P.G.O. & Grinberg, H. (2003) . Grassmann coherent states for spin systems. Journal of Molecular Structure: THEOCHEM, 621(1-2), 9-18.
http://dx.doi.org/10.1016/S0166-1280(02)00528-6
---------- CHICAGO ----------
Anicich, P.G.O., Grinberg, H. "Grassmann coherent states for spin systems" . Journal of Molecular Structure: THEOCHEM 621, no. 1-2 (2003) : 9-18.
http://dx.doi.org/10.1016/S0166-1280(02)00528-6
---------- MLA ----------
Anicich, P.G.O., Grinberg, H. "Grassmann coherent states for spin systems" . Journal of Molecular Structure: THEOCHEM, vol. 621, no. 1-2, 2003, pp. 9-18.
http://dx.doi.org/10.1016/S0166-1280(02)00528-6
---------- VANCOUVER ----------
Anicich, P.G.O., Grinberg, H. Grassmann coherent states for spin systems. J. Mol. Struct. THEOCHEM. 2003;621(1-2):9-18.
http://dx.doi.org/10.1016/S0166-1280(02)00528-6