统计热力学偶势超稳定性证明

PROOF OF THE SUPERSTABILITY OF PAIR POTENTIALS IN STATISTICAL THERMODYNAMICS

对连续态的正则偶势证明其满足超稳定条件，其方法是在束缚态间嵌入一满足Ｒｕｅｌｅ判据的函数，并选择最简洁的形状因子，筛选确定最佳参数，使其既能获得非理想玻色气体的每一质点高密度基态能极限，又有最理想常数，这在统计热力学领域具有较好的应用前景。

It is proved that a pair potential of continuous and canonical type satisfies a condition of the superstability through sandwiching a function which satisfies Ruelle's criterion and with best constants between bounds.The simplest shape factor is selected so that the high density limit of the ground state energy is obtained for an imperfect Bose gas,and there are best constants.The application to statistical thermodynamics is very clear.