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中文摘要：
引入Sommerfeld作用量量子化条件来处理Schwarzschild黑洞的量子化问题．发现此类量子化黑洞存在一个质量为mc=1/2√3mp的基态，处于基态的量子Schwarzschild黑洞不再存在Hawking蒸发和任何其他辐射，可名之曰暗星．它的存在不仅可以解决信息丢失的疑难，而且极可能是构成暗物质的主要候选者。
英文摘要：
ff the situation of quantum gravity nowadays is nearly the same as that of quantum mechanics in its early time of Bohr and Sommerfeld, then a first-step study of the quantum gravity under Sommerfeld＇ s quantum condition of action might be helpful. We present the spectra of quantum Schwarzschild black hole in non-relativistic quantum mechanics. It is found that the quantum of area is 8π/ 3lp^2 the quantum of entropy is 2π/3κB, and the Hawking evaporation will cease when the black hole reaches the ground 1 state m =1/2√3mp. A very natural conjecture is that the constituents of dark matter may come from the remnant （relics） of primordeal black hole with life time smaller than that of the universe.
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