Hermitian Dirac Hamiltonian in the time-dependent gravitational field

被引：24
|
作者：
Leclerc, M [1 ]
机构：
[1] Univ Athens, Sect Astrophys & Astron, Dept Phys, Athens, Greece
来源：
CLASSICAL AND QUANTUM GRAVITY | 2006年 / 23卷 / 12期
关键词：
D O I：
10.1088/0264-9381/23/12/001
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
It is shown by a straightforward argument that the Hamiltonian generating the time evolution of the Dirac wavefunction in relativistic quantum mechanics is not Hermitian with respect to the covariantly defined inner product whenever the background metric is time dependent. An alternative, Hermitian, Hamiltonian is found and shown to be directly related to the canonical field Hamiltonian used in quantum field theory.
引用
收藏
页码：4013 / 4019
页数：7
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