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Volumn 24, Issue 5, 2000, Pages 577-584

Generalization of Numerov's method for the numerical solution of the Schrödinger equation in two dimensions

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0033748264     PISSN: 00978485     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0097-8485(99)00096-0     Document Type: Article
Times cited : (10)

References (23)
  • 1
    • 0001401038 scopus 로고
    • The numerical solution of coupled differential equations arising from the Schrödinger equation
    • Allison A.C. The numerical solution of coupled differential equations arising from the Schrödinger equation. J. Comput. Phys. 6:1970;378-391.
    • (1970) J. Comput. Phys. , vol.6 , pp. 378-391
    • Allison, A.C.1
  • 2
    • 0002207932 scopus 로고    scopus 로고
    • Embedded methods for the numerical solution of the Schrödinger equation
    • Avdelas G., Simos T.E. Embedded methods for the numerical solution of the Schrödinger equation. Comput. Math. Appl. 31:1996;85-102.
    • (1996) Comput. Math. Appl. , vol.31 , pp. 85-102
    • Avdelas, G.1    Simos, T.E.2
  • 3
    • 0005285043 scopus 로고    scopus 로고
    • P-stability and exponential-fitting methods for y′′=f(x, y)
    • Coleman J.P., Ixaru L.Gr. P-stability and exponential-fitting methods for y′′=f(x, y). IMA J. Numer. Anal. 16:1996;179-199.
    • (1996) IMA J. Numer. Anal. , vol.16 , pp. 179-199
    • Coleman, J.P.1    Ixaru, L.2
  • 4
    • 0031237961 scopus 로고    scopus 로고
    • Operations on oscillatory functions
    • Ixaru L.Gr. Operations on oscillatory functions. Comput. Phys. Commun. 105:1997;1-19.
    • (1997) Comput. Phys. Commun. , vol.105 , pp. 1-19
    • Ixaru, L.1
  • 5
    • 0001209266 scopus 로고
    • Piecewise perturbation methods for calculating eigensolutions of a complex optical potential
    • Ixaru L.Gr., Rizea M., Vertse T. Piecewise perturbation methods for calculating eigensolutions of a complex optical potential. Comput. Phys. Commun. 85:1995;217-230.
    • (1995) Comput. Phys. Commun. , vol.85 , pp. 217-230
    • Ixaru, L.1    Rizea, M.2    Vertse, T.3
  • 7
    • 0041934592 scopus 로고
    • Eigenvalues of the two-dimensional Schrödinger equation
    • Hajj F.Y. Eigenvalues of the two-dimensional Schrödinger equation. J. Phys. B At. Mol. Phys. 15:1982;683-692.
    • (1982) J. Phys. B At. Mol. Phys. , vol.15 , pp. 683-692
    • Hajj, F.Y.1
  • 8
    • 0042936309 scopus 로고
    • Solution of the Schrödinger equation in two and three dimensions
    • Hajj F.Y. Solution of the Schrödinger equation in two and three dimensions. J. Phys. B At. Mol. Phys. 18:1985;1-11.
    • (1985) J. Phys. B At. Mol. Phys. , vol.18 , pp. 1-11
    • Hajj, F.Y.1
  • 9
    • 0001601413 scopus 로고
    • On the numerical solution of Schrödinger's radial equation
    • Hajj F.Y., Kobeisse H., Nassif N.R. On the numerical solution of Schrödinger's radial equation. J. Comput. Phys. 16:1974;150-159.
    • (1974) J. Comput. Phys. , vol.16 , pp. 150-159
    • Hajj, F.Y.1    Kobeisse, H.2    Nassif, N.R.3
  • 10
    • 0001591709 scopus 로고
    • New variable-step procedure for the numerical integration of the one-dimensional Schrödinger equation
    • Simos T.E. New variable-step procedure for the numerical integration of the one-dimensional Schrödinger equation. J. Comput. Phys. 108:1993a;175-179.
    • (1993) J. Comput. Phys. , vol.108 , pp. 175-179
    • Simos, T.E.1
  • 11
    • 0000778465 scopus 로고
    • Error analysis of exponential fitted methods for the numerical solution of the one-dimensional Schrödinger equation
    • Simos T.E. Error analysis of exponential fitted methods for the numerical solution of the one-dimensional Schrödinger equation. Phys. Lett. A. 177:1993b;345-350.
    • (1993) Phys. Lett. a , vol.177 , pp. 345-350
    • Simos, T.E.1
  • 12
    • 84987141698 scopus 로고
    • Predictor-corrector phase-fitted methods for y′′=f(x, y) and an application to the Schrödinger equation
    • Simos T.E. Predictor-corrector phase-fitted methods for y′′=f(x, y) and an application to the Schrödinger equation. Int. J. Quantum Chem. 53:1995;473-483.
    • (1995) Int. J. Quantum Chem. , vol.53 , pp. 473-483
    • Simos, T.E.1
  • 13
    • 0032061565 scopus 로고    scopus 로고
    • Computer algebra program for constructing exponentially-fitted methods for solution of the Schrödinger equation
    • Simos T.E. Computer algebra program for constructing exponentially-fitted methods for solution of the Schrödinger equation. Comput. Phys. 12:1998a;290-295.
    • (1998) Comput. Phys. , vol.12 , pp. 290-295
    • Simos, T.E.1
  • 14
    • 0032117901 scopus 로고    scopus 로고
    • A new hybrid imbedded variable-step procedure for the numerical integration of the Schrödinger equation
    • Simos T.E. A new hybrid imbedded variable-step procedure for the numerical integration of the Schrödinger equation. Comput. Math. Appl. 36:1998b;51-63.
    • (1998) Comput. Math. Appl. , vol.36 , pp. 51-63
    • Simos, T.E.1
  • 15
    • 0343186804 scopus 로고    scopus 로고
    • High-algebraic, high-phase-lag methods for accurate computations for the elastic-scattering phase-shift problem
    • Simos T.E. High-algebraic, high-phase-lag methods for accurate computations for the elastic-scattering phase-shift problem. Can. J. Phys. 76:1998c;473-493.
    • (1998) Can. J. Phys. , vol.76 , pp. 473-493
    • Simos, T.E.1
  • 16
    • 0001803956 scopus 로고    scopus 로고
    • An explicit sixth-order Bessel and Neumann fitted method for the numerical solution of the Schrödinger equation
    • Simos T.E. An explicit sixth-order Bessel and Neumann fitted method for the numerical solution of the Schrödinger equation. Comput. Phys. 12:1998d;635-640.
    • (1998) Comput. Phys. , vol.12 , pp. 635-640
    • Simos, T.E.1
  • 17
    • 0345831862 scopus 로고    scopus 로고
    • High algebraic order methods with minimal phase-lag for accurate solution of the Schrödinger equation
    • Simos T.E. High algebraic order methods with minimal phase-lag for accurate solution of the Schrödinger equation. Int. J. Mod. Phys. C. 9:1998e;1055-1071.
    • (1998) Int. J. Mod. Phys. C , vol.9 , pp. 1055-1071
    • Simos, T.E.1
  • 18
    • 0343040153 scopus 로고
    • An expert system for the numerical solution of the one-dimensional Schrödinger equation
    • Simos T.E., Mitsou G.V. An expert system for the numerical solution of the one-dimensional Schrödinger equation. Math. Comput. Simul. 36:1994;195-202.
    • (1994) Math. Comput. Simul. , vol.36 , pp. 195-202
    • Simos, T.E.1    Mitsou, G.V.2
  • 19
    • 0000647840 scopus 로고    scopus 로고
    • An explicit eighth order method with minimal phase-lag for accurate computations of eigenvalues, resonances and phase shifts
    • Simos T.E., Tougelidis G. An explicit eighth order method with minimal phase-lag for accurate computations of eigenvalues, resonances and phase shifts. Comput. Chem. 21:1997;327-334.
    • (1997) Comput. Chem. , vol.21 , pp. 327-334
    • Simos, T.E.1    Tougelidis, G.2
  • 20
    • 0342606005 scopus 로고    scopus 로고
    • Some modified Runge-Kutta methods for the numerical solution of some specific Schrödinger equations and related problems
    • Simos T.E., Williams P.S. Some modified Runge-Kutta methods for the numerical solution of some specific Schrödinger equations and related problems. Int. J. Mod. Phys. A. 11:1996;4731-4744.
    • (1996) Int. J. Mod. Phys. a , vol.11 , pp. 4731-4744
    • Simos, T.E.1    Williams, P.S.2
  • 21
    • 0001590149 scopus 로고    scopus 로고
    • Bessel and Neumann fitted methods for the numerical solution of the radial Schrödinger equation
    • Simos T.E., Williams P.S. Bessel and Neumann fitted methods for the numerical solution of the radial Schrödinger equation. Comput. Chem. 21:1997a;175-179.
    • (1997) Comput. Chem. , vol.21 , pp. 175-179
    • Simos, T.E.1    Williams, P.S.2
  • 22
    • 0001590147 scopus 로고    scopus 로고
    • A family of Numerov-type exponentially-fitted methods for the numerical integration of the Schrödinger equation
    • Simos T.E., Williams P.S. A family of Numerov-type exponentially-fitted methods for the numerical integration of the Schrödinger equation. Comput. Chem. 21:1997b;403-417.
    • (1997) Comput. Chem. , vol.21 , pp. 403-417
    • Simos, T.E.1    Williams, P.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.