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本文讨论在Kerr度规中带质量和无质量Bose子的束缚态,结果指出:1)无质量Bose子不能形成Kerr黑洞束缚态,在极端黑洞情形和角量子数l很大的条件下,这与deFelic的结论相符,但我们将他的结论推广到任意l及非极端Kerr黑洞的情形。2)对于有质量Bose子,若满足束缚态条件,则可能和极端Kerr黑洞组成束缚态。本文给出了束缚态的能量模式,波函数和束缚态条件。The massive and massless boson bound states in Kerr metric are discussed. It is found that the massless boson cannot be attracted by Kerr black hole to form bound states. In extreme Kerr geometry and large l cases, our results are in agreement with that of deFelic's, but we extend his result to arbitrary l and non-extreme Kerr geometry. For massive bosons, if the bound state conditions are satisfied, it is possible to form bound states in the extreme Kerr metric. Its energy mode, wave functions and bound states conditions are given.
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