非平坦时空中相对论性的玻色子和费米子

Relativistic bosons and fermions in non-flat space-time

在背景度规ds2=u2(x)(-dt2+dx2)+dy2+dz2下,本文研究相对论性的玻色子和费米子,得出了相应于Klein-Gordon方程和Dirac方程的连续性方程.当u(x)是奇函数时,体系的哈密顿算符^H具有空间反演不变性,宇称守恒.对于特殊情况u(x)=ex,计算出了玻色子和费米子的本征波函数.

In the presence of a background metric ds^2=u^2（x）（-dt^2＋dx^2）＋dy^2＋dz^2,relativistic bosons and fermions have been studied and continuity equations for the Klein- Gordon and Dirac equations have been got respectively. It is shown that parity conservation is verified for the Hamiltonian system operatorI：twith inversion space invariance for the case u（-x） = -u（x）. For the special case u（x） =e^x ,the eigenfunctions of bosons and fermions are obtained.