论文标题
零温度的热力学：量子多体系统基底状态的不平等现象
Thermodynamics at zero temperature: inequalities for the ground state of a quantum many-body system
论文作者
论文摘要
我们证明，对于零温度下的单个组件多体系统，不等式$ e _ {\ rm int} \ leq \，p \，v $ holds，其中$ e _ {\ rm int} $是交互能量，$ p $ $ p $ is pugh is pressisity and $ v $ insumple and $ v $。在使用安德森型结合的系统的基态能量与不同数量的粒子的基础状态相关的基础状态下，这种不平等被证明是在相当普遍的假设下证明的。我们还考虑将杂质颗粒添加到系统中，并在两种杂质的结合状态的杂质和结合能的化学潜力上引起不平等。
We prove that for a single-component many-body system at zero temperature the inequality $E_{\rm int} \leq\, P\,V$ holds, where $E_{\rm int}$ is the interaction energy, $P$ is pressure and $V$ is volume. This inequality is proven under rather general assumptions with the use of Anderson-type bound relating ground state energies of systems with different numbers of particles. We also consider adding impurity particles to the system and derive inequalities on the chemical potential of the impurity and binding energy of the bound state of two impurities.
