弯曲时空中量子场论的注记：与粒子概念和哈密顿形式有关的问题
Notes on Quantum Field Theory in Curved Spacetime: Problems Relating to the Concept of Particles and Hamiltonian Formalism
摘要：
这些笔记的目的是阐明弯曲时空中量子场论的某些方面，特别是那些与粒子概念有关的方面。本文选择了与波粒二象性有关的一些问题。一个通用的弯曲时空的情况下概述。在具有分离空间度规的优选参考系（静态时空和约化同步参考系）下，详细阐述了弯曲时空中量子场论的哈密顿公式.应用：（1）黑洞。(2)宇宙;宇宙学红移是在量子场论的背景下得到的。
英文摘要：
The aim of these notes is to elucidate some aspects of quantum field theory in curved spacetime, especially those relating to the notion of particles. A selection of issues relevant to wave-particle duality is given. The case of a generic curved spacetime is outlined. A Hamiltonian formulation of quantum field theory in curved spacetime is elaborated for a preferred reference frame with a separated space metric (a static spacetime and a reductive synchronous reference frame). Applications: (1) Black hole. (2) The universe; the cosmological redshift is obtained in the context of quantum field theory.
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