Navegar

Colección

Datos Estadísticas

Artículo

Grinberg, H. "Path integral of spin models" (2003) Physics Letters, Section A: General, Atomic and Solid State Physics. 311(2-3):133-144
La versión final de este artículo es de uso interno. El editor solo permite incluir en el repositorio el artículo en su versión post-print. Por favor, si usted la posee enviela a
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

A path-integral representation of 1D Ising and XY spin models is investigated. Short-time propagator algorithms and a discrete time formalism are used in combination with Grassmann variables non-orthogonal coherent states to get a many-body analytic propagator. Fermion operators satisfying the canonical anticommutation relations are constructed from the rising and lowering spin operators via the Jordan-Wigner transformation. Computation of the partition function and thermodynamic properties follows from an appropriate tracing over Grassmann variables in the imaginary time domain. © 2003 Elsevier Science B.V. All rights reserved.

Registro:

Documento: Artículo
Título:Path integral of spin models
Autor:Grinberg, H.
Filiación:Departamento de Física, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, (1428) Buenos Aires, Argentina
Palabras clave:Grassmann algebra; Ising model; Partition function; Path integral; XY model; algorithm; article; partition coefficient; quantum mechanics; thermodynamics
Año:2003
Volumen:311
Número:2-3
Página de inicio:133
Página de fin:144
DOI: http://dx.doi.org/10.1016/S0375-9601(03)00464-X
Título revista:Physics Letters, Section A: General, Atomic and Solid State Physics
Título revista abreviado:Phys Lett Sect A Gen At Solid State Phys
ISSN:03759601
CODEN:PYLAA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03759601_v311_n2-3_p133_Grinberg

Referencias:

  • Schulman, L.S., (1981) Techniques and Applications of Path Integration, , Wiley Interscience, New York
  • Swanson, M., (1992) Path Integrals and Quantum Processes, , Academic Press, San Diego, CA
  • Kashiwa, T., Ohnuki, Y., Suzuki, M., (1997) Path Integral Methods, , Clarendon Press, Oxford, UK, and references therein
  • Campolieti, G., Brumer, P., (1994) Phys. Rev. A, 50, p. 997
  • Kay, K.G., (1994) J. Chem. Phys., 100, p. 4377
  • Kay, K.G., (1994) J. Chem. Phys., 100, p. 4432
  • Marañón, J., Grinberg, H., (1984) J. Chem. Phys., 81, p. 4537
  • Bochicchio, R.C., Grinberg, H., (1990) Phys. Rev. A, 41, p. 5814
  • Klauder, J.R., (1960) Ann. Phys., 11, p. 123
  • Klauder, J.R., (1979) Phys. Rev. D, 19, p. 2349
  • Kuratsuji, H., Suzuki, T., (1980) J. Math. Phys., 21, p. 472
  • Su, J.-C., (2000) Phys. Lett. A, 268, p. 279
  • Chudnovsky, E.M., Gunther, L., (1988) Phys. Rev. Lett., 60, p. 661
  • Loss, D., Vincenzo, D.P., Grinstein, G., (1992) Phys. Rev. Lett., 69, p. 3232
  • Von Delft, J., Henley, C.L., (1992) Phys. Rev. Lett., 69, p. 3236
  • Wernsdorfer, W., Sessoli, R., (1999) Science, 284, p. 133
  • Shibata, J., Takagi, S., (1999) Int. J. Mod. Phys. B, 13, p. 107
  • Stone, M., Park, K.-S., (2000) J. Math. Phys., 41, p. 8025
  • Blaizot, J.P., Orland, H., (1981) Phys. Rev. C, 24, p. 1740
  • Susuki, T., (1983) Nucl. Phys. A, 398, p. 557
  • Fukui, T., (1993) J. Math. Phys., 34, p. 4455
  • Grinberg, H., Marañón, J., (1990) J. Mol. Struct. (Theochem), 210, p. 39
  • Calamante, F., Bochicchio, R.C., Grinberg, H., (1994) Int. J. Quantum Chem., 49, p. 789
  • Anicich, P.G.O., Grinberg, H., (2002) Int. J. Quantum Chem., 90, p. 1562
  • Anicich, P.G.O., Grinberg, H., (2003) J. Mol. Struct. (Theochem), 621, p. 9
  • Kuratsuji, H., Mizobouchi, Y., (1981) J. Math. Phys., 22, p. 757
  • Barros e Sá, N., (2001) J. Phys. A: Math. Gen., 34, p. 4831
  • Samuel, S., (1980) J. Math. Phys., 21, p. 2806
  • Samuel, S., (1980) J. Math. Phys., 21, p. 2815
  • Samuel, S., (1980) J. Math. Phys., 21, p. 2820
  • Nojima, K., (1998) Int. J. Mod. Phys. B, 12, p. 1995
  • Berezin, F.A., (1965) The Method of Second Quantization, , Academic Press, New York
  • Fukutome, H., (1981) Prog. Theor. Phys., 65, p. 809
  • Papdopoulos, G.J., (1978) Path Integrals and Their Applications in Quantum Statistical and Solid State Physics, p. 85. , G.J. Papadopoulos, J.T. Devreese (Eds.), Plenum, New York, and references therein
  • Lieb, E., Schultz, T., Mattis, D., (1961) Ann. Phys., 16, p. 407

Citas:

---------- APA ----------
(2003) . Path integral of spin models. Physics Letters, Section A: General, Atomic and Solid State Physics, 311(2-3), 133-144.
http://dx.doi.org/10.1016/S0375-9601(03)00464-X
---------- CHICAGO ----------
Grinberg, H. "Path integral of spin models" . Physics Letters, Section A: General, Atomic and Solid State Physics 311, no. 2-3 (2003) : 133-144.
http://dx.doi.org/10.1016/S0375-9601(03)00464-X
---------- MLA ----------
Grinberg, H. "Path integral of spin models" . Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 311, no. 2-3, 2003, pp. 133-144.
http://dx.doi.org/10.1016/S0375-9601(03)00464-X
---------- VANCOUVER ----------
Grinberg, H. Path integral of spin models. Phys Lett Sect A Gen At Solid State Phys. 2003;311(2-3):133-144.
http://dx.doi.org/10.1016/S0375-9601(03)00464-X