Wronskian method for one-dimensional quantum scattering

被引:12
|
作者
Fernandez, Francisco M. [1 ]
机构
[1] Natl Univ La Plata, 1INIFTA, CCT La Plata, CONICET, RA-1900 La Plata, Buenos Aires, Argentina
关键词
educational courses; physics education; quantum theory; Schrodinger equation; BARRIER PENETRATION; RESONANCES; TRANSMISSION;
D O I
10.1119/1.3596393
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
The use of Wronskians with properly chosen linearly independent solutions of the Schroumldinger equation greatly facilitates the calculation of the transmission probability for scattering in one dimension and also provides a reliable test for the accuracy of the calculation. We apply the approach to a Gaussian barrier and a Gaussian well, and test its accuracy for an exactly solvable model. (C) 2011 American Association of Physics Teachers. [DOI: 10.1119/1.3596393]
引用
收藏
页码:877 / 881
页数:5
相关论文
共 50 条
  • [1] Volterra inverse scattering series method for one-dimensional quantum barrier scattering
    Chou, Chia-Chun
    Yao, Jie
    Kouri, Donald J.
    [J]. INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2017, 117 (17)
  • [2] TRANSPORT APPROACH TO ONE-DIMENSIONAL QUANTUM SCATTERING
    TIKOCHINSKY, Y
    [J]. AMERICAN JOURNAL OF PHYSICS, 1977, 45 (11) : 1091 - 1093
  • [3] ONE-DIMENSIONAL QUANTUM SCATTERING IN AN EIGENDIFFERENTIAL BASIS
    HALCOMB, LL
    DIESTLER, DJ
    [J]. AMERICAN JOURNAL OF PHYSICS, 1984, 52 (05) : 443 - 445
  • [4] Flat resonances in one-dimensional quantum scattering
    Chebotarev, LV
    Tchebotareva, A
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (22): : 7259 - 7277
  • [5] Local symmetries in one-dimensional quantum scattering
    Kalozoumis, P. A.
    Morfonios, C.
    Diakonos, F. K.
    Schmelcher, P.
    [J]. PHYSICAL REVIEW A, 2013, 87 (03):
  • [6] Yangian symmetry and quantum inverse scattering method for the one-dimensional Hubbard model
    Murakami, S
    Gohmann, F
    [J]. PHYSICS LETTERS A, 1997, 227 (3-4) : 216 - 226
  • [7] One-dimensional quantum scattering by a parabolic odd potential
    Ferreira, E. M.
    Sesma, J.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (41)
  • [8] Quantum entanglement creation based on quantum scattering in one-dimensional waveguides
    Song, Guo-Zhu
    Tao, Ming-Jie
    Qiu, Jing
    Wei, Hai-Rui
    [J]. PHYSICAL REVIEW A, 2022, 106 (03)
  • [9] Computational method for the quantum Hamilton-Jacobi equation: One-dimensional scattering problems
    Chou, Chia-Chun
    Wyatt, Robert E.
    [J]. PHYSICAL REVIEW E, 2006, 74 (06):
  • [10] Scattering of one-dimensional quantum droplets by a reflectionless potential well
    Hu, Xiaoxiao
    Li, Zhiqiang
    Guo, Yu
    Chen, Yajiang
    Luo, Xiaobing
    [J]. PHYSICAL REVIEW A, 2023, 108 (05)