高维de Sitter时空中宇宙视界处的Fermi子隧穿

Fermion tunnels at cosmological horizon of higher dimensional de Sitter space time

运用半经典近似理论,本文研究了来自静态高维deSitter时空和高维Schwarzschild-de Sitter时空宇宙视界处的Fermi子隧穿辐射.在文中,描述1/2自旋粒子行为的Dirac方程被简化为一个简单的形式,接着运用方程组有非平凡解的条件,可以得到了半经典的Hamilton-Jacobi方程,从而使得问题大大得以简化,最终得到了静态de Sitter时空中宇宙视界处的Fermi子隧穿率和Hawking温度.

Using semiclassical approximation method,the fermion tunnels at cosmological horizon of higher dimensional de Sitter and Schwarzschild de Sitter space-times are researched in this paper.In our work,the Dirac equation,which describes the property of 1/2 spin particles,is simplified,and then the semiclassical Hamilton-Jacobi equation is obtained via the condition that there are non-trivial solutions of Dirac equation.The research has been simplified greatly,and the Hawking temperature and tunneling rate at cosmological horizon of static higher dimensional de Sitter space time is gotten finally.