彩虹Rindler度规中的Saha电离和粒子产生
Saha Ionization and Particle production in Rainbow Rindler Metric
摘要：
利用Hamilton变分原理导出了Rainbow Rindler度规中粒子的能量。本文研究了Saha电离方程和Rainbow Rindler度规中的对产生。Saha电离方程和Rainbow Rindler度规中的对产生依赖于修正加速度，而修正加速度是能量依赖的。这意味着能量（$E$）和度量张量（$g_{μν}(E)$）取决于惯性观测器。讨论了与能量有关的加速度、与惯性有关的能量和度规张量的物理意义。将上述结果与Rindler度规的结果进行比较，得到Sanchari De和Somenath Chakarabarthy应用对应原理得到的结果。
英文摘要：
The energy of a particle in the Rainbow Rindler metric is derived using Hamilton's variational principle. Saha Ionization equation and Pair production in Rainbow Rindler metric have been investigated. Saha ionization equation and Pair production in Rainbow Rindler metric depend on corrected acceleration which is energy-dependent. This means energy ($E$) and metric tensor ($g_{μν}(E)$) depends on the inertial observer. The physical implications of energy-dependent acceleration, observer-dependent(inertial) energy and metric tensor are discussed. On comparing the above results with that of Rindler metric we get the result obtained by Sanchari De and Somenath Chakarabarthy by applying the correspondence principle.
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