论文标题
非热量子力学及其规范结构
The Non-Hermitian quantum mechanics and its canonical structure
论文作者
论文摘要
通常以汉密尔顿规范方程式的形式重新表达了非热的schrödinger方程，而无需任何近似值。讨论了其量化称为非热量子场理论。借助规范方程式，非列米特量子力学的理论是完全重新制定的，包括国家的概率幅度，运营商的期望以及相互作用术语的表达。重新制作完全克服了非量子量子力学的常规困难。具体而言，假想的部分非富特征素体和绝热几何阶段实际上是毫无意义的，尽管它们在数学上是完美的。
The non-Hermitian Schrödinger equation is re-expressed generally in the form of Hamilton's canonical equation without any approximation. Its quantization called non-Hermitian quantum field theory is discussed. By virtue of the canonical equation, the theory of non-Hermitian quantum mechanics is totally reformulated, including the probability amplitudes of states, the expectations of operators, as well as the expressions of interaction terms. The conventional difficulties in non-Hermitian quantum mechanics are totally overcome by the reformulation. Specifically, the imaginary parts the non-Hermitian eigenenergy and adiabatic geometric phase are actually unphysical, although they are mathematically perfect.
