Helmholtz equation in relativistic quantum mechanics
作者: V. N.Salomatov
刊名: Physics Essays, 2017, Vol.30 (2), pp.177-180
来源数据库: Physics Essays
DOI: 10.4006/0836-1398-30.2.177
原始语种摘要: It is shown that for a specific choice of a particular solution of the relativistic wave equation, it falls into the Helmholtz equation and the Klein-Gordon equation. In this case, the squares of the rest masses of the particle with the relativistic dispersion relation are determined by the Helmholtz equation. It suggested the possibility, in principle, of classification of the mass spectrum and lifetimes of the particles according to the discrete solutions of the Helmholtz equation in a particular model. In this case, it can be assumed that the lifetime of a particle is determined by the ratio of contributions to the wave function of the Bessel and collapsed Neumann functions. An opportunity to compare real elementary particles' rest masses and especially lifetimes with the particles'...
全文获取路径: 物理学论文  (合作)

  • equation 方程
  • solution 溶液
  • relativistic 相对论的
  • suggested 建议
  • ratio 
  • collapsed 暴跌
  • particle 颗粒
  • particular 细致的
  • opportunity 机会
  • mechanics 力学