2born (2born) wrote,
2born
2born

Рассеяние волнового пакета

Очень клевая учебная статья: и квантЫ с диагонализацией, и рассеяние, и твердое тело...

Scattering Problems via Real-time Wave Packet Scattering: https://arxiv.org/abs/2103.01027
M. Staelens, F. Marsiglio
In this paper, we use a straightforward numerical method to solve scattering models in one-dimensional lattices based on a tight-binding band structure. We do this by using the wave packet approach to scattering, which presents a more intuitive physical picture than the traditional plane wave approach. Moreover, a general matrix diagonalization method that is easily accessible to undergraduate students taking a first course in quantum mechanics is used. Beginning with a brief review of wave packet transport in the continuum limit, comparisons are made with its counterpart in a lattice. The numerical results obtained through the diagonalization method are then benchmarked against analytic results. The case of a resonant dimer is investigated in the lattice, and several resonant values of the mean wave packet momentum are identified. The transmission coefficients obtained for a plane wave incident on a step potential and rectangular barrier are compared by investigating an equivalent scenario in a lattice. Lastly, we present several short simulations of the scattering process which emphasize how a simple methodology can be used to visualize some remarkable phenomena.
Comments: 10 pages, 5 figures plus 4 animations
Tags: matlab, Мегаучебник или Что я читал и похвалил, наука, образование, разгребая arXiv'ы, хаос
Subscribe

  • Post a new comment

    Error

    default userpic

    Your reply will be screened

    Your IP address will be recorded 

    When you submit the form an invisible reCAPTCHA check will be performed.
    You must follow the Privacy Policy and Google Terms of use.
  • 0 comments