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Abstract:

Using the connection between the evolution operator and the stationary value of the Lippmann–Schwinger functional, approximations to this operator are obtained using diagonal Padé approximants. A harmonic oscillator with a non‐hermitean perturbation proportional to powers of the bosonic creation operator is considered and its evolution operator is evaluated. The poles of the spectral representation obtained by this method are compared to both: the ones of the usual perturbative expansion and those of the exact solution. Extensions to Hermitian Hamiltonians are discussed, involving the necessity of inverting more complex operators in the calculation of the Fourier transform. However, the approximation obtained by this procedure becomes exactly unitary. © 1995 John Wiley & Sons, Inc. Copyright © 1995 John Wiley & Sons, Inc.

Registro:

Documento: Artículo
Título:Padé approximants to the evolution operator through the Lippmann Schwinger variational principle
Autor:Calamante, F.; Grinberg, H.
Filiación:Departamento di Física, Facultad de Ciencias Exactas Y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, 1428, Argentina
Año:1995
Volumen:54
Número:3
Página de inicio:137
Página de fin:145
DOI: http://dx.doi.org/10.1002/qua.560540302
Título revista:International Journal of Quantum Chemistry
Título revista abreviado:Int J Quantum Chem
ISSN:00207608
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207608_v54_n3_p137_Calamante

Referencias:

  • Baker, G.A., Jr., Graves‐Morris, P.R., (1981) Encyclopedia of Mathematics and Its Applications, 13. , Addison‐Wesley, Reading, MA
  • Baker, G.A., Jr., Graves‐Morris, P.R., (1981) Encyclopedia of Mathematics and Its Applications, 14. , Addison‐Wesley, Reading, MA
  • Nuttall, J., (1973) Padé Approximants and Their Applications, , P. R. Graves‐Morris, Academic Press, New York
  • Baker, G.A., Gammel, J.L., Wills, J.G., (1961) J. Math. Anal. Appl., 2, p. 405
  • Pelizzola, A., (1994) Phys. Rev. E, 49, p. R2503
  • Samuel, M., Li, G., Steinfelds, E., (1993) Phys. Rev. D, 48, p. 869
  • Fleischer, J., Pindor, M., (1981) Phys. Rev. D, 24, p. 1978
  • Bessis, D., Mery, P., Turchetti, G., (1977) Phys. Rev. D, 15, p. 2345
  • Hartt, K., (1980) Phys. Rev. C, 22, p. 1377
  • Sarkar, B., Bhattacharyya, K., (1993) Phys. Rev. B, 48, p. 6913
  • Bruno, O., Reitich, F., (1993) J. Opt. Soc. Am. A, 10, p. 2307
  • Lefebvre, R., Ryaboy, V., Moiseyev, N., (1993) J. Chem. Phys., 98, p. 8601
  • Nicol, E.J., Carbotte, J.P., (1993) Phys. Rev. B, 47, p. 8205
  • Öhm, Y., Born, G., (1981) Adv. Quantum Chem., 13, p. 1
  • Brändas, E.J., Bartlett, R.J., (1971) Chem. Phys. Lett., 8, p. 153
  • Chandra, A.K., Bhattacharyya, K., (1993) International Journal of Quantum Chemistry, 45, p. 251
  • Bessis, D., (1973) Padé Approximants, p. 19. , Lectures delivered at a summer school held at the University of Kent, July 1972, P. R. Graves‐Morris, Institute of Physics, London, Bristol
  • Bessis, D., Turchetti, G., Wortman, W., (1974) Nuovo Cim., 22 A, p. 157
  • Bessis, D., Turchetti, G., (1977) Nucl. Phys. B, 123, p. 173
  • Bessis, D., Pusterla, M., (1968) Nuovo Cim., 54 A, p. 243
  • Pindor, M., Turchetti, G., (1982) Nuovo Cim., 71 A, p. 171
  • Graves‐Morris, P.R., (1978) Ann. Phys., 114, p. 290
  • Kohn, W., (1947) Phys. Rev., 71, p. 635
  • Wortman, W.R., (1971) Padé Approximants in Theoretical Physics, , G. A. Baker, J. L. Gammel, Academic Press, New York
  • Bessis, D., (1973) Padé Approximants, , P. R. GravesMorris, Institute of Physics, London, Bristol
  • Lippmann, B.A., Schwinger, J., (1950) Phys. Rev., 79, p. 569
  • Cini, M., Fubini, S., (1953) Nuovo Cim., 10, p. 1695
  • (1954) Nuovo Cim., 11, p. 142
  • Lam, C.C., Fung, P.C.W., (1983) Phys. Rev. A, 27, p. 1760
  • Micha, D.A., Brändas, E.J., (1971) J. Chem. Phys., 55, p. 4792
  • Micha, D.A., Brändas, E.J., (1972) J. Math. Phys., 13, p. 155
  • Nuttall, J., (1970) The Padé Approximant in Theoretical Physics, p. 219. , G. A. Baker, J. L. Gammel, Academic Press, New York
  • Nuttall, J., (1973) Padé Approximants and Their Applications, p. 29. , P. R. Graves‐Morris, Academic Press, New York
  • Nuttall, J., (1967) Phys. Rev., 157, p. 1312
  • Goscinski, O., Brandas, E., (1971) International Journal of Quantum Chemistry, 5, p. 131
  • Bochicchio, R.C., Grinberg, H., (1990) Phys. Rev. A, 41, p. 5814
  • Calamante, F., Bochicchio, R.C., Grinberg, H., Feynman path integral representation for many-fermion interacting systems (1994) International Journal of Quantum Chemistry, 49, p. 789

Citas:

---------- APA ----------
Calamante, F. & Grinberg, H. (1995) . Padé approximants to the evolution operator through the Lippmann Schwinger variational principle. International Journal of Quantum Chemistry, 54(3), 137-145.
http://dx.doi.org/10.1002/qua.560540302
---------- CHICAGO ----------
Calamante, F., Grinberg, H. "Padé approximants to the evolution operator through the Lippmann Schwinger variational principle" . International Journal of Quantum Chemistry 54, no. 3 (1995) : 137-145.
http://dx.doi.org/10.1002/qua.560540302
---------- MLA ----------
Calamante, F., Grinberg, H. "Padé approximants to the evolution operator through the Lippmann Schwinger variational principle" . International Journal of Quantum Chemistry, vol. 54, no. 3, 1995, pp. 137-145.
http://dx.doi.org/10.1002/qua.560540302
---------- VANCOUVER ----------
Calamante, F., Grinberg, H. Padé approximants to the evolution operator through the Lippmann Schwinger variational principle. Int J Quantum Chem. 1995;54(3):137-145.
http://dx.doi.org/10.1002/qua.560540302