Abstract: The three Hamaker hypotheses is the theoretical basis to resolve a discrete problem by continuance method. The atomic force, which is obtained by the continuance method on the basis of the Hamaker hypotheses, does not agree with the classical Lennard-Jons potential. The conclusions, that the Hamaker homogeneous hypothesis holds true only for two micro-substances separated far away, and that the digital density and the Hamaker constant vary with the distance, are obtained, followed by the forms of the digital density and the force between the micro-substances.

Keywords: 
• Hamaker hypothesizes /
• digit density /
• Hamaker constant /
• Lennard-Jons potentia