메뉴 건너뛰기




Volumn 171, Issue 3, 2005, Pages 197-207

Fourth-order algorithms for solving local Schrödinger equations in a strong magnetic field

Author keywords

Kohn Sham equations; Magnetic fields; Quantum dots

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELECTRONIC STRUCTURE; MAGNETIC FIELD EFFECTS; MAGNETIC FIELDS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; SEMICONDUCTOR QUANTUM DOTS; WAVE EQUATIONS;

EID: 24644479573     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2005.05.006     Document Type: Article
Times cited : (28)

References (23)
  • 1
    • 0003025813 scopus 로고
    • General density functional theory
    • S. Lundqvist N.H. March Plenum New York
    • W. Kohn, and P. Vashishta General density functional theory S. Lundqvist N.H. March Theory of the Inhomogeneous Electron Gas 1983 Plenum New York 79
    • (1983) Theory of the Inhomogeneous Electron Gas , pp. 79
    • Kohn, W.1    Vashishta, P.2
  • 2
    • 0034899553 scopus 로고    scopus 로고
    • A novel multigrid method for electronic structure calculations
    • M. Heiskanen, T. Torsti, M.J. Puska, and R.M. Nieminen A novel multigrid method for electronic structure calculations Phys. Rev. B 63 2001 245106 245113
    • (2001) Phys. Rev. B , vol.63 , pp. 245106-245113
    • Heiskanen, M.1    Torsti, T.2    Puska, M.J.3    Nieminen, R.M.4
  • 4
    • 0000094594 scopus 로고
    • An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
    • C. Lanczos An iteration method for the solution of the eigenvalue problem of linear differential and integral operators J. Res. Natl. Bur. Stand. 45 1950 255 282
    • (1950) J. Res. Natl. Bur. Stand. , vol.45 , pp. 255-282
    • Lanczos, C.1
  • 5
    • 0000844742 scopus 로고
    • A direct relaxation method for calculating eigenfunctions and eigenvalues of the Schrödinger equation on a grid
    • R. Kosloff, and H. Tal-Ezer A direct relaxation method for calculating eigenfunctions and eigenvalues of the Schrödinger equation on a grid Chem. Phys. Lett. 127 1986 223 230
    • (1986) Chem. Phys. Lett. , vol.127 , pp. 223-230
    • Kosloff, R.1    Tal-Ezer, H.2
  • 7
    • 0042973847 scopus 로고
    • Solution of the Schrödinger equation by a spectral method
    • D. Feit, J.A. Fleck Jr., and A. Steiger Solution of the Schrödinger equation by a spectral method J. Comp. Phys. 47 1982 412
    • (1982) J. Comp. Phys. , vol.47 , pp. 412
    • Feit, D.1    Fleck Jr., J.A.2    Steiger, A.3
  • 8
    • 36749104477 scopus 로고
    • Solution of the Schrödinger equation by a spectral method II: Vibrational energy levels of triatomic molecules
    • D. Feit, and J.A. Fleck Jr. Solution of the Schrödinger equation by a spectral method II: Vibrational energy levels of triatomic molecules J. Chem. Phys. 78 1982 301
    • (1982) J. Chem. Phys. , vol.78 , pp. 301
    • Feit, D.1    Fleck Jr., J.A.2
  • 9
    • 0013403652 scopus 로고
    • Solving linear partial differential equations by exponential splitting
    • Q. Sheng Solving linear partial differential equations by exponential splitting IMA J. Numer. Anal. 9 1989 199
    • (1989) IMA J. Numer. Anal. , vol.9 , pp. 199
    • Sheng, Q.1
  • 10
    • 0001753297 scopus 로고
    • General theory of fractal path integrals with applications to many-body theories and statistical physics
    • M. Suzuki General theory of fractal path integrals with applications to many-body theories and statistical physics J. Math. Phys. 32 1991 400
    • (1991) J. Math. Phys. , vol.32 , pp. 400
    • Suzuki, M.1
  • 11
    • 23844514667 scopus 로고    scopus 로고
    • New scheme of hybrid exponential product formulas with applications to quantum Monte Carlo simulations
    • D.P. Landau K.K. Mon H.-B. Schüttler Springer Berlin
    • M. Suzuki New scheme of hybrid exponential product formulas with applications to quantum Monte Carlo simulations D.P. Landau K.K. Mon H.-B. Schüttler Computer Simulation Studies in Condensed Matter Physics vol. VIII 1996 Springer Berlin 1 6
    • (1996) Computer Simulation Studies in Condensed Matter Physics , vol.8 , pp. 1-6
    • Suzuki, M.1
  • 12
    • 0039502533 scopus 로고    scopus 로고
    • Symplectic integrators from composite operator factorizations
    • S.A. Chin Symplectic integrators from composite operator factorizations Phys. Lett. A 226 1997 344 348
    • (1997) Phys. Lett. A , vol.226 , pp. 344-348
    • Chin, S.A.1
  • 13
    • 0037158141 scopus 로고    scopus 로고
    • Gradient symplectic algorithms for solving the Schrödinger equation with time-dependent potentials
    • S.A. Chin, and C.R. Chen Gradient symplectic algorithms for solving the Schrödinger equation with time-dependent potentials J. Chem. Phys. 117 2002 1409
    • (2002) J. Chem. Phys. , vol.117 , pp. 1409
    • Chin, S.A.1    Chen, C.R.2
  • 14
    • 0035886303 scopus 로고    scopus 로고
    • A fourth order real-space algorithm for solving local Schrödinger equations
    • J. Auer, E. Krotscheck, and S.A. Chin A fourth order real-space algorithm for solving local Schrödinger equations J. Chem. Phys. 115 2001 6841 6846
    • (2001) J. Chem. Phys. , vol.115 , pp. 6841-6846
    • Auer, J.1    Krotscheck, E.2    Chin, S.A.3
  • 15
    • 19944372757 scopus 로고    scopus 로고
    • A fast configuration space method for solving local Kohn-Sham equations
    • M. Aichinger, and E. Krotscheck A fast configuration space method for solving local Kohn-Sham equations Comput. Mater. Sci. 34 2005 188 212
    • (2005) Comput. Mater. Sci. , vol.34 , pp. 188-212
    • Aichinger, M.1    Krotscheck, E.2
  • 16
    • 0035505130 scopus 로고    scopus 로고
    • Applications of higher order composite factorization schemes in imaginary time path integral simulations
    • S. Jang, S. Jang, and G.A. Voth Applications of higher order composite factorization schemes in imaginary time path integral simulations J. Chem. Phys. 115 2001 7832 7842
    • (2001) J. Chem. Phys. , vol.115 , pp. 7832-7842
    • Jang, S.1    Jang, S.2    Voth, G.A.3
  • 17
    • 0035335815 scopus 로고    scopus 로고
    • Fourth order gradient symplectic integrator methods for solving the time-dependent Schrödinger equation
    • S.A. Chin, and C.R. Chen Fourth order gradient symplectic integrator methods for solving the time-dependent Schrödinger equation J. Chem. Phys. 114 2001 7338
    • (2001) J. Chem. Phys. , vol.114 , pp. 7338
    • Chin, S.A.1    Chen, C.R.2
  • 19
    • 34250934540 scopus 로고
    • Diamagnetism of metals
    • L.D. Landau Diamagnetism of metals Z. Phys. 64 1930 629
    • (1930) Z. Phys. , vol.64 , pp. 629
    • Landau, L.D.1
  • 20
    • 77952914393 scopus 로고
    • Quantum Mechanics (Nonrelativistic Theory)
    • Pergamon Press Ltd. London
    • L.D. Landau, and E.M. Lifshitz Quantum Mechanics (Nonrelativistic Theory) Course of Theoretical Physics vol. III 1958 Pergamon Press Ltd. London
    • (1958) Course of Theoretical Physics , vol.3
    • Landau, L.D.1    Lifshitz, E.M.2
  • 23
    • 24644521406 scopus 로고    scopus 로고
    • Generality of the addition energies for 2d semiconductor quantum dots
    • in press
    • M. Aichinger, E. Räsänen, Generality of the addition energies for 2d semiconductor quantum dots, Phys. Rev. B (2005), in press
    • (2005) Phys. Rev. B
    • Aichinger, M.1    Räsänen, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.