论文标题
温度：量子力学的忽略因子
Temperature: The ignored factor in quantum mechanics
论文作者
论文摘要
我们已经开发了一种理论形式主义，可以使用经典热力学定律和统计力学的规范集合方案将温度作为参数引入非律师量子力学的框架。然后，为给定的量子多体系统构建了一种自洽的哈密顿量，该系统以校正项的形式包括温度的效果，添加到系统的相应零温度的哈密顿量中。使用精确的零温度解决方案（包括粒子中的盒子模型，自由粒子和我们的有限温度的谐波振荡器）来研究一些量子机械系统，直到我们的有限温度临近到第一阶的自搭配性，这导致了温度依赖温度的汉密尔顿人，导致这些系统在绝对Zero中描述了这些绝对Zero以上的绝对Zero，而无需遇到任何物理上不可接受的品牌的行为和能量的能量。结果坚决支持这样的观点，即有限温度下的量子机械系统的表现好像在零温度激发态。
We have developed a theoretical formalism to introduce temperature as a parameter into the framework of non-relativistic quantum mechanics using the laws of classical thermodynamics and the canonical ensemble scheme of statistical mechanics. A self-consistent Hamiltonian has then been constructed for a given quantum many-body system which includes the effect of temperature in the form of correction terms added to the corresponding zero-temperature Hamiltonian of the system. Investigating some quantum mechanical systems with exact zero-temperature solutions including the particle-in-a-box model, the free particle, and the harmonic oscillator within our finite-temperature approach up to the first order of self-consistency has led to temperature-dependent Hamiltonians describing these systems above absolute zero without encountering any physically unacceptable brand of behavior for their wave functions and energy spectra. Results firmly support the view that a quantum mechanical system at a finite temperature behaves as if it is in a zero-temperature excited state.
