Solution for Pauli equation in a toroidal surface with uniform magnetic field

被引：6
|
作者：
Schmidt, Alexandre G. M. [1 ]
机构：
[1] Univ Fed Fluminense, Inst Ciencias Exatas, Dept Fis Volta Redonda, R Ellis Hermydio Figueira 783,Bloco C, BR-27213145 Volta Redonda, RJ, Brazil
来源：
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES | 2019年 / 110卷
关键词：
Pauli equation; Torus surface; SCHRODINGER-EQUATION; QUANTUM-MECHANICS; CHARGED-PARTICLE; CONFINED STATES; MONOPOLES; SPHERE;
D O I：
10.1016/j.physe.2019.02.016
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
We solve analytically the Pauli equation for a charged spin 1/2 particle constrained to move along a toroidal surface and interacting with a uniform magnetic field. The two-component spinorial wavefunction can only be realized if the applied magnetic field has certain special values.
引用
收藏
页码：88 / 94
页数：7
相关论文
共 50 条
  • [1] Analytical solution of the kinetic equation for a uniform plasma in a magnetic field
    Ji, Jeong-Young
    Held, Eric D.
    PHYSICAL REVIEW E, 2010, 82 (01):
  • [2] Pauli equation for a charged spin particle on a curved surface in an electric and magnetic field
    Wang, Yong-Long
    Du, Long
    Xu, Chang-Tan
    Liu, Xiao-Jun
    Zong, Hong-Shi
    PHYSICAL REVIEW A, 2014, 90 (04):
  • [3] A solution to the dirac-pauli equation for a homogeneous magnetic field using jannussis functions
    Myagkii A.N.
    Bordovitsyn V.A.
    Russian Physics Journal, 2001, 44 (1) : 114 - 116
  • [4] SOLUTION OF DIRAC EQUATION WITH A PERIODIC POTENTIAL AND A UNIFORM MAGNETIC-FIELD
    SCHMIDBURGK, J
    GAIL, HP
    PHYSICS LETTERS A, 1974, A 48 (03) : 209 - 210
  • [5] Dunkl-Pauli equation in the presence of a magnetic field
    Bouguerne, H.
    Hamil, B.
    Lutfuoglu, B. C.
    Merad, M.
    INDIAN JOURNAL OF PHYSICS, 2024, 98 (12) : 4093 - 4105
  • [6] The solar surface toroidal magnetic field
    Ulrich, RK
    Boyden, JE
    ASTROPHYSICAL JOURNAL, 2005, 620 (02): : L123 - L127
  • [7] Surface viscometry in a uniform magnetic field
    Delacroix, J.
    Davoust, L.
    MECHANICS & INDUSTRY, 2016, 17 (06)
  • [8] SOLUTION OF KALLEN-PAULI EQUATION
    PAGNAMENTA, A
    JOURNAL OF MATHEMATICAL PHYSICS, 1965, 6 (06) : 955 - +
  • [9] ON SOLUTION OF DIRAC EQUATION IN A MAGNETIC FIELD
    SENGUPTA, ND
    INDIAN JOURNAL OF PURE & APPLIED PHYSICS, 1968, 6 (09) : 459 - &
  • [10] A force-free magnetic field solution in toroidal coordinates
    Marsh, Gerald E.
    PHYSICS OF PLASMAS, 2023, 30 (05)
12345