SEMICONDUCTOR PHYSICS

Solution of the time-dependent Schrodinger equation with absorbing boundary conditions

Chen Zhidong, Zhang Jinyu and Yu Zhiping

+ Author Affiliations

PDF

Abstract: The performances of absorbing boundary conditions (ABCs) in four widely used finite difference time domain (FDTD) methods, i.e. explicit, implicit, explicit staggered-time, and Chebyshev methods, for solving the time-dependent Schrdinger equation are assessed and compared. The computation efficiency for each approach is also evaluated. A typical evolution problem of a single Gaussian wave packet is chosen to demonstrate the performances of the four methods combined with ABCs. It is found that ABCs perfectly eliminate reflection in implicit and explicit staggered-time methods. However, small reflection still exists in explicit and Chebyshev methods even though ABCs are applied.

Key words: Finite difference time domain method absorbing boundary condition time-dependent Schrodinger

  • Search

    Advanced Search >>

    GET CITATION

    shu

    Export: BibTex EndNote

    Article Metrics

    Article views: 4548 Times PDF downloads: 5589 Times Cited by: 0 Times

    History

    Received: 18 August 2015 Revised: 04 September 2008 Online: Published: 01 January 2009

    Catalog

      Email This Article

      User name:
      Email:*请输入正确邮箱
      Code:*验证码错误
      Chen Zhidong, Zhang Jinyu, Yu Zhiping. Solution of the time-dependent Schrodinger equation with absorbing boundary conditions[J]. Journal of Semiconductors, 2009, 30(1): 012001. doi: 10.1088/1674-4926/30/1/012001 Chen Z D, Zhang J Y, Yu Z P. Solution of the time-dependent Schrodinger equation with absorbing boundary conditions[J]. J. Semicond., 2009, 30(1): 012001. doi: 10.1088/1674-4926/30/1/012001.Export: BibTex EndNote
      Citation:
      Chen Zhidong, Zhang Jinyu, Yu Zhiping. Solution of the time-dependent Schrodinger equation with absorbing boundary conditions[J]. Journal of Semiconductors, 2009, 30(1): 012001. doi: 10.1088/1674-4926/30/1/012001

      Chen Z D, Zhang J Y, Yu Z P. Solution of the time-dependent Schrodinger equation with absorbing boundary conditions[J]. J. Semicond., 2009, 30(1): 012001. doi: 10.1088/1674-4926/30/1/012001.
      Export: BibTex EndNote

      Solution of the time-dependent Schrodinger equation with absorbing boundary conditions

      doi: 10.1088/1674-4926/30/1/012001
      • Received Date: 2015-08-18
      • Accepted Date: 2008-02-28
      • Revised Date: 2008-09-04
      • Published Date: 2009-01-18

      Catalog

        /

        DownLoad:  Full-Size Img  PowerPoint
        Return
        Return