On the Linear Forms of the Schrödinger Equation

被引：0
|
作者：
Y. Kasri
A. Bérard
Y. Grandati
L. Chetouani
机构：
[1] Université Abderrahmane Mira de Béjaia,Laboratoire de Physique Théorique
[2] Université Paul Verlaine-Metz,Institut de Physique, Equipe BioPhyStat, ICPMB, IF CNRS 2843
[3] Université Mentouri Constantine,Département de Physique, Faculté des Sciences Exactes
来源：
International Journal of Theoretical Physics | 2012年 / 51卷
关键词：
Dirac oscillator; Duffin-Kemmer-Petiau equation; Galilean invariance;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Generalising the linearisation procedure used by Dirac and later by Lévy-Leblond, we derive the first-order non-relativistic wave equations for particles of spin 1 and spin 3/2 starting from the Schrödinger equation. By the introduction in the momentum of a correction linear in coordinates, we establish the wave equation of the radial harmonic oscillator with spin-orbit coupling.
引用
收藏
页码：1370 / 1378
页数：8
相关论文
共 50 条
  • [21] Solution of the Schrödinger equation for the time-dependent linear potential
    Materials Science Division, Argonne National Laboratory, Argonne, IL 60439, United States
    Physical Review A. Atomic, Molecular, and Optical Physics, 2001, 63 (03): : 341021 - 341023
  • [22] Haar wavelet collocation method for linear and non-linear Schrödinger equation
    Khan, Muhammad Ubaid
    Shah, Syed Azhar Ali
    Ahsan, Muhammad
    Alwuthaynani, Maher
    PHYSICA SCRIPTA, 2025, 100 (01)
  • [23] Schrödinger equation as a confluent Heun equation
    Figueiredo, Bartolomeu Donatila Bonorino
    PHYSICA SCRIPTA, 2024, 99 (05)
  • [24] Pseudorandomness of the Schrödinger Map Equation
    Kumar, Sandeep
    ACTA APPLICANDAE MATHEMATICAE, 2024, 193 (01)
  • [25] Lorentz transformations for the schrödinger equation
    Shtelen V.
    Journal of Nonlinear Mathematical Physics, 1997, 4 (3-4) : 480 - 481
  • [26] Iterative Solutions of the Schrödinger Equation
    George Rawitscher
    Few-Body Systems, 2014, 55 : 821 - 824
  • [27] A canonical dilation of the Schrödinger equation
    M. F. Brown
    Russian Journal of Mathematical Physics, 2014, 21 : 316 - 325
  • [28] Derivation of Nonlinear Schrödinger Equation
    Xiang-Yao Wu
    Bai-Jun Zhang
    Xiao-Jing Liu
    Li Xiao
    Yi-Heng Wu
    Yan Wang
    Qing-Cai Wang
    Shuang Cheng
    International Journal of Theoretical Physics, 2010, 49 : 2437 - 2445
  • [29] Thermodynamic Gravity and the Schrödinger Equation
    Merab Gogberashvili
    International Journal of Theoretical Physics, 2011, 50 : 2391 - 2402
  • [30] Matlab package for the Schrödinger equation
    Damian Trif
    Journal of Mathematical Chemistry, 2008, 43 : 1163 - 1176
12345