A variant of Wigner’s functional equation

被引:0
|
作者
Aleksej Turnšek
机构
[1] University of Ljubljana,Faculty of Maritime Studies and Transport
[2] Physics and Mechanics,Institute of Mathematics
来源
Aequationes mathematicae | 2015年 / 89卷
关键词
39B05; 46C05; 46C50; 47J05; Functional equation; Wigner’s theorem; quaternions; isometry;
D O I
暂无
中图分类号
学科分类号
摘要
We characterize mappings between inner product spaces satisfying a certain pair of functional equations. As a consequence a short proof of Wigner’s theorem for real, complex or quaternionic inner spaces is presented.
引用
下载
收藏
页码:949 / 956
页数:7
相关论文
共 50 条
  • [41] Deterministic Solution of the Discrete Wigner Equation
    Cervenka, Johann
    Ellinghaus, Paul
    Nedjalkov, Mihail
    NUMERICAL METHODS AND APPLICATIONS (NMA 2014), 2015, 8962 : 149 - 156
  • [42] Wigner solution of the quark gap equation
    Cui, Zhu-Fang
    Xu, Shu-Sheng
    Li, Bo-Lin
    Sun, An
    Zhang, Jing-Bo
    Zong, Hong-Shi
    EUROPEAN PHYSICAL JOURNAL C, 2018, 78 (09):
  • [43] A RANDOM CLOUD MODEL FOR THE WIGNER EQUATION
    Wagner, Wolfgang
    KINETIC AND RELATED MODELS, 2016, 9 (01) : 217 - 235
  • [44] Numerical Solution of the Constrained Wigner Equation
    Kosik, Robert
    Cervenka, Johann
    Kosina, Hans
    2020 INTERNATIONAL CONFERENCE ON SIMULATION OF SEMICONDUCTOR PROCESSES AND DEVICES (SISPAD 2020), 2020, : 189 - 191
  • [45] The stability of the Wigner equation on a restricted domain
    Chmieliñski, J
    Jung, SM
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 254 (01) : 309 - 320
  • [47] Boundary conditions and the Wigner equation solution
    Dimov, Ivan
    Nedjalkov, Mihail
    Sellier, Jean-Michel
    Selberherr, Siegfried
    JOURNAL OF COMPUTATIONAL ELECTRONICS, 2015, 14 (04) : 859 - 863
  • [48] A comparison of approaches for the solution of the Wigner equation
    Sellier, J. M.
    Nedjalkov, M.
    Dimov, I.
    Selberherr, S.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2015, 107 : 108 - 119
  • [49] Analysis of a semidiscrete version of the Wigner equation
    Goudon, T
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2003, 40 (06) : 2007 - 2025
  • [50] THE ELECTROMAGNETIC WIGNER EQUATION FOR AN ELECTRON WITH SPIN
    ARNOLD, A
    STEINRUCK, H
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1989, 40 (06): : 793 - 815