{"id":29525,"date":"2021-10-27T20:52:58","date_gmt":"2021-10-27T12:52:58","guid":{"rendered":"https:\/\/swarma.org\/?p=29525"},"modified":"2021-10-27T20:52:58","modified_gmt":"2021-10-27T12:52:58","slug":"%e6%96%87%e5%b0%8f%e5%88%9a%ef%bc%9a%e6%9c%88%e6%96%b0%e5%b9%b4%e5%bc%82%e7%9a%84%e9%87%8f%e5%ad%90%e6%8b%93%e6%89%91%e7%89%a9%e6%80%81","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=29525","title":{"rendered":"\u6587\u5c0f\u521a\uff1a\u6708\u65b0\u5e74\u5f02\u7684\u91cf\u5b50\u62d3\u6251\u7269\u6001"},"content":{"rendered":"
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1982\u5e74\uff0c\u8ba9\u4eba\u66f4\u52a0\u5403\u60ca\u7684\u5206\u6570\u91cf\u5b50\u970d\u5c14\u6001<\/strong>\u88ab\u5d14\u7426\u3001Stormer\u548cGossard\u53d1\u73b0[5]\uff0c\u5176\u970d\u5c14\u7535\u5bfc\u53ea\u80fd\u53d6\u4e00\u4e9b\u7b80\u5355\u7684\u5206\u6570\u503c\uff0c\u59821\/3\u30012\/5\u7b49\u7b49\u3002\u5f62\u6210\u5206\u6570\u91cf\u5b50\u970d\u5c14\u6001\u7684\u7535\u5b50\uff0c\u662f\u4e0d\u53ef\u5206\u5272\u7684\u57fa\u672c\u7c92\u5b50\u3002\u4f46\u5728\u5206\u6570\u91cf\u5b50\u970d\u5c14\u6001\u4e2d\uff0c\u4e00\u4e2a\u7535\u5b50\u7684\u884c\u4e3a\u8868\u73b0\uff0c\u548c\u4e09\u4e2a\u5e26\u75351\/3\u7684\u7c92\u5b50\u76f8\u540c\u3002\u4e00\u4e2a\u4e0d\u53ef\u5206\u5272\u7684\u57fa\u672c\u7c92\u5b50\u597d\u50cf\u88ab\u62c6\u6210\u4e09\u4e2a\u5e26\u5206\u6570\u7535\u8377\u7684\u7c92\u5b50\u3002\u8fd9\u4e00\u5b8c\u5168\u6ca1\u60f3\u5230\u7684\u53d1\u73b0\u4e5f\u83b7\u5f97\u4e86\u8bfa\u8d1d\u5c14\u5956<\/span>\uff08\u5d14\u7426, Stormer, Laughlin, 1998<\/span>\uff09<\/span>\u3002<\/span><\/section>\n

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1986\u5e74\u9ad8\u6e29\u8d85\u5bfc<\/strong>\u88abBednorz\u3001M\u00fcller\u53d1\u73b0<\/span>\uff08\u53c8\u662f\u4e00\u4e2a\u8bfa\u5956\u53d1\u73b0\uff09<\/span>[6]\u3002\u8fd9\u4e00\u53d1\u73b0\u6fc0\u52b1\u4e86\u51dd\u805a\u6001\u7269\u7406\u7406\u8bba\u5b66\u5bb6\uff0c\u53d1\u5c55\u51fa\u5f62\u5f62\u8272\u8272\u8111\u6d1e\u5927\u5f00\u7684\u7406\u8bba\u3002\u5176\u4e2d\u4e00\u4e2a\u7406\u8bba\u662f\u57fa\u4e8e\u81ea\u65cb\u6db2\u4f53<\/strong>\u7684\uff0c\u5176\u4e2d\u540c\u65f6\u5e26\u7535\u5e26\u81ea\u65cb\u7684\u7535\u5b50\uff0c\u597d\u50cf\u81ea\u53d1\u5730\u5206\u88c2\u6210\u53ea\u5e26\u81ea\u65cb\u7684\u81ea\u65cb\u5b50\u548c\u53ea\u5e26\u7535\u7684\u7a7a\u7a74\u5b50\u3002\u7a7a\u7a74\u5b50\u662f\u73bb\u8272\u5b50\uff0c\u5176\u73bb\u8272\u51dd\u805a\u53ef\u4ee5\u5bfc\u81f4\u51fa\u9ad8\u6e29\u8d85\u5bfc\u3002\u80fd\u4ea7\u751f\u9ad8\u6e29\u8d85\u5bfc\u7684\u81ea\u65cb\u6db2\u4f53\u6709\u5f88\u591a\uff0c\u5176\u4e2d\u5305\u62ec\u4e8e1988\u5e74\u5de6\u53f3\u63d0\u51fa\u7684\u624b\u5f81\u81ea\u65cb\u6db2\u4f53<\/span>\uff08\u7834\u574f\u4e86\u5b87\u79f0\u5bf9\u79f0\uff09<\/span>[7-8]\uff0c\u548c1991\u5e74\u63d0\u51faZ2\u81ea\u65cb\u6db2\u4f53<\/span>\uff08\u7531Z2\u89c4\u8303\u573a\u63cf\u5199\uff09<\/span>[9-10]\u3002\u5f88\u4e0d\u5e78\u7684\u662f\uff0c30\u591a\u5e74\u540e\uff0c\u8fd9\u4e9b\u81ea\u65cb\u6db2\u4f53\u8fd8\u6ca1\u6709\u5728\u5b9e\u9a8c\u6750\u6599\u4e2d\u627e\u5230\uff0c\u867d\u7136\u5728\u7406\u8bba\u4e0a\u5b83\u4eec\u662f\u81ea\u6d3d\u7684\uff0c\u800c\u4e14\u5728\u67d0\u4e9b\u6570\u503c\u8ba1\u7b97\u7684\u6a21\u578b\u4e2d\u88ab\u5b9e\u73b0\u3002<\/span><\/section>\n

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\u6574\u6570\u91cf\u5b50\u970d\u5c14\u6001\u3001\u5206\u6570\u91cf\u5b50\u970d\u5c14\u6001\u548c\u5404\u79cd\u5404\u6837\u7684\u81ea\u65cb\u6db2\u4f53\uff0c\u90fd\u8d85\u51fa\u4e86\u6717\u9053\u5bf9\u79f0\u6027\u7684\u7406\u8bba\u3002\u8fd9\u662f\u56e0\u4e3a\u8fd9\u4e9b\u7269\u6001\u90fd\u5e26\u6709\u76f8\u540c\u7684\u5bf9\u79f0\u6027\uff0c\u4f46\u53c8\u5c5e\u4e8e\u4e0d\u540c\u7684\u76f8<\/strong>\u3002\u5728\u6717\u9053\u5bf9\u79f0\u7406\u8bba\u4e2d\uff0c\u5177\u6709\u76f8\u540c\u5bf9\u79f0\u6027\u7684\u7269\u6001\u4e00\u5b9a\u5c5e\u4e8e\u540c\u4e00\u4e2a\u76f8\u3002\u6240\u4ee5\u8fd9\u4e9b\u91cf\u5b50\u7269\u6001\u90fd\u8d85\u8d8a\u4e86\u6717\u9053\u5bf9\u79f0\u7406\u8bba\uff0c\u4ee3\u8868\u4e86\u4e00\u79cd\u65b0\u7684\u7269\u8d28\u5f62\u6001\u30021989\u5e74\uff0c\u62d3\u6251\u5e8f\u8fd9\u4e00\u6982\u5ff5\u88ab\u5f15\u5165[11]\uff0c\u7528\u6765\u63cf\u5199\u8fd9\u4e00\u65b0\u7684\u7269\u8d28\u5f62\u6001\u3002<\/span>\uff08\u62d3\u6251\u5e8f\u8fd9\u4e00\u540d\u79f0\u6e90\u4e8e\u5176\u4f4e\u80fd\u6709\u6548\u7406\u8bba\uff0c\u62d3\u6251\u91cf\u5b50\u573a\u8bba[12]\u3002\uff09<\/span><\/section>\n

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4. \u62d3\u6251\u5e8f\u672c\u8d28\u662f\u91cf\u5b50\u7ea0\u7f20<\/strong><\/strong><\/p>\n<\/section>\n

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\u8fd9\u4e00\u65b0\u7684\u7269\u8d28\u5f62\u6001\u7684\u7cbe\u9ad3\u5230\u5e95\u662f\u4ec0\u4e48\uff1f20\u5e74\u540e\u6211\u4eec\u53d1\u73b0\u8fd9\u4e00\u65b0\u7684\u7269\u8d28\u5f62\u6001\u7684\u7cbe\u9ad3<\/span>\uff08\u4e5f\u5c31\u662f\u62d3\u6251\u5e8f\u7684\u7cbe\u9ad3\uff09<\/span>\u662f\u957f\u7a0b\u591a\u4f53\u91cf\u5b50\u7ea0\u7f20[13]\u30021989\u5e74\uff0c\u91cf\u5b50\u8ba1\u7b97\u3001\u591a\u4f53\u91cf\u5b50\u7ea0\u7f20\u8fd8\u4e0d\u6d41\u884c\u3002\u5176\u5b9e\u62d3\u6251\u5e8f\u5e94\u88ab\u79f0\u4e3a\u957f\u7a0b\u91cf\u5b50\u7ea0\u7f20\u5e8f\u3002\u6211\u4eec\u77e5\u9053\u5bf9\u79f0\u6027\u53ef\u4ee5\u7528\u6570\u5b66\u4e2d\u7684\u7fa4\u8bba\u6765\u5b8c\u5168\u63cf\u5199\u3002\u800c\u957f\u7a0b\u591a\u4f53\u91cf\u5b50\u7ea0\u7f20\u662f\u4e00\u4e2a\u5168\u65b0\u7684\u81ea\u7136\u73b0\u8c61\uff0c\u9700\u8981\u7528\u4e00\u4e2a\u5168\u65b0\u7684\u6570\u5b66\u8bed\u8a00\u6765\u63cf\u5199<\/strong>\u3002\u901a\u8fc7\u8fd1\u5341\u51e0\u5e74\u7684\u7814\u7a76\uff0c\u6211\u4eec\u53d1\u73b0\uff0c\u8fd9\u4e00\u65b0\u7684\u6570\u5b66\u8bed\u8a00\u662f\u4e00\u79cd\u5f88\u62bd\u8c61\u7684\u6570\u5b66\uff1a\u878d\u5408\u9ad8\u9636\u8303\u7574\u5b66<\/strong>\u3002<\/span><\/section>\n

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\u957f\u7a0b\u91cf\u5b50\u7ea0\u7f20<\/span>\uff08\u62d3\u6251\u5e8f\uff09<\/span>\u80fd\u4ea7\u751f\u5f88\u591a\u65b0\u5947\u7684\u7269\u7406\u73b0\u8c61\uff1a\u5206\u6570\u7535\u8377[14]\uff0c\u5206\u6570\u81ea\u65cb[15]\uff0c\u81ea\u65cb\u7535\u8377\u5206\u79bb[7-10]\uff0c\u62d3\u6251\u7b80\u5e76[11]\uff0c\u5206\u6570\u7edf\u8ba1[15-16]\uff0c\u751a\u81f3non-Abelian\u7edf\u8ba1[17-18]\u3002\u62d3\u6251\u7b80\u5e76\u548cnon-Abelian\u7edf\u8ba1\u662f\u62d3\u6251\u91cf\u5b50\u8ba1\u7b97\u7684\u57fa\u7840[19]\u3002\u62d3\u6251\u5e8f\u8fd8\u5c55\u73b0\u4e86\u62d3\u6251\u5168\u606f\u539f\u7406\uff1a\u62d3\u6251\u5e8f\u88ab\u5176\u8fb9\u754c\u5b8c\u5168\u51b3\u5b9a[20-21]\u3002<\/span><\/section>\n

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5. \u6ca1\u6709\u62d3\u6251\u5e8f\u7684\u65b0\u62d3\u6251\u7269\u6001<\/strong><\/strong><\/p>\n

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\u6574\u6570\u91cf\u5b50\u970d\u5c14\u6548\u5e94\u6709\u4e00\u4e2a\u7b80\u5355\u7684\u63a8\u5e7f\uff1a\u5f53\u81ea\u65cb\u5411\u4e0a\u7684\u7535\u5b50\u6570\u76ee\u548c\u81ea\u65cb\u5411\u4e0b\u7684\u7535\u5b50\u6570\u76ee\u5206\u522b\u5b88\u6052\u7684\u65f6\u5019\uff0c\u5982\u679c\u8fd9\u4e24\u79cd\u7535\u5b50\u611f\u53d7\u5230\u65b9\u5411\u76f8\u53cd\u7684\u78c1\u573a\uff0c\u8fd9\u4e9b\u7535\u5b50\u4f1a\u4ea7\u751f\u6574\u6570\u91cf\u5b50\u5316\u7684\u81ea\u65cb\u970d\u5c14\u7535\u5bfc\u3002\u8fd9\u4ee3\u8868\u4e86\u4e00\u79cd\u65b0\u7684\u7269\u8d28\u6001\uff0c\u88ab\u79f0\u4e3a\u91cf\u5b50\u81ea\u65cb\u970d\u5c14\u6001<\/strong>\u3002\u53ef\u662f\u5982\u4f55\u5728\u4e00\u5757\u6750\u6599\u4e2d\uff0c\u8ba9\u81ea\u65cb\u5411\u4e0a\u548c\u81ea\u65cb\u5411\u4e0b\u7684\u7535\u5b50\u611f\u53d7\u5230\u65b9\u5411\u76f8\u53cd\u7684\u78c1\u573a\uff0c\u4ece\u800c\u5b9e\u73b0\u8fd9\u4e00\u79cd\u65b0\u7684\u7269\u8d28\u6001\uff1f\u8fd9\u597d\u50cf\u662f\u4e0d\u53ef\u80fd\u7684\u4e8b\u60c5\u3002<\/span><\/section>\n

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\u540e\u6765\u4eba\u4eec\u53d1\u73b0\u7535\u5b50\u7684\u4e00\u4e2a\u76f8\u5bf9\u8bba\u6027\u6548\u5e94\uff0c\u81ea\u65cb\u8f68\u9053\u8026\u5408\uff0c\u5728\u9002\u5f53\u7684\u60c5\u51b5\u4e0b\u53ef\u4ee5\u8ba9\u81ea\u65cb\u76f8\u53cd\u7684\u7535\u5b50\u611f\u53d7\u5230\u76f8\u53cd\u65b9\u5411\u7684\u6709\u6548\u78c1\u573a\u30022003\u5e74\u524d\u540e\uff0c\u5f20\u9996\u665f\u7b49\u4eba\uff0cKane\u7b49\u4eba\uff0c\u5728\u8fd9\u65b9\u9762\u5c55\u5f00\u4e86\u5927\u91cf\u7684\u7814\u7a76[22-23]\u3002\u5f53\u65f6\u9047\u5230\u7684\u4e00\u4e2a\u62e6\u8def\u864e\u662f\uff0c\u4e00\u822c\u6750\u6599\u4e2d\u7684\u81ea\u65cb\u8f68\u9053\u8026\u5408\uff0c\u540c\u65f6\u4e5f\u7834\u574f\u4e86\u81ea\u65cb\u5411\u4e0a\u548c\u81ea\u65cb\u5411\u4e0b\u7684\u7535\u5b50\u6570\u76ee\u5206\u522b\u5b88\u6052\uff0c\u8fd9\u4f7f\u81ea\u65cb\u970d\u5c14\u7535\u5bfc\u65e0\u6cd5\u5b9a\u4e49\u3002\u6574\u6570\u91cf\u5b50\u5316\u7684\u81ea\u65cb\u970d\u5c14\u7535\u5bfc\u66f4\u52a0\u65e0\u4ece\u8c08\u8d77\u3002\u8fd9\u4f7f\u5f97\u81ea\u65cb\u8f68\u9053\u8026\u5408\u65e0\u6cd5\u4ea7\u751f\u91cf\u5b50\u81ea\u65cb\u970d\u5c14\u6001\u3002<\/span><\/section>\n

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\u8fd9\u65f6\u7684\u4e00\u4e2a\u7814\u7a76\u601d\u8def\u662f\uff0c\u8bd5\u56fe\u91cd\u65b0\u5b9a\u4e49\u81ea\u65cb\u970d\u5c14\u7535\u5bfc\uff0c\u4f7f\u8fd9\u4e2a\u65b0\u7684\u5b9a\u4e49\uff0c\u5373\u4f7f\u5728\u81ea\u65cb\u5411\u4e0a\u548c\u81ea\u65cb\u5411\u4e0b\u7684\u7535\u5b50\u6570\u76ee\u4e0d\u5206\u522b\u5b88\u6052\u65f6\u4e5f\u80fd\u6210\u7acb\uff0c\u4ece\u800c\u5b9e\u73b0\u91cf\u5b50\u81ea\u65cb\u970d\u5c14\u6548\u5e94\u3002\u5f88\u9057\u61be\u7684\u662f\u8fd9\u4e00\u601d\u8def\u6700\u540e\u6ca1\u6709\u6210\u529f\uff0c\u6d6a\u8d39\u4e86\u51e0\u5e74\u5b9d\u8d35\u7684\u65f6\u95f4\u3002<\/span><\/section>\n

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2005\u5e74\uff0cKane\u548cMele\u53d1\u73b0[24]\uff0c\u5f53\u6709\u81ea\u65cb\u8f68\u9053\u8026\u5408\u7684\u65f6\u5019\uff0c\u7535\u5b50\u80fd\u5e26\u4f1a\u6709\u4e00\u4e2a\u5168\u65b0\u7684Z2\u62d3\u6251\u4e0d\u53d8\u91cf<\/strong>\u3002\u8fd9\u4e00\u65b0\u7684\u62d3\u6251\u4e0d\u53d8\u91cf\u548c\u91cf\u5b50\u81ea\u65cb\u970d\u5c14\u7535\u5bfc\u6beb\u65e0\u5173\u7cfb\u3002\u5b83\u7684\u53d1\u73b0\u4ee3\u8868\u4e86\u4e00\u4e2a\u5168\u65b0\u7684\u91cf\u5b50\u62d3\u6251\u7269\u6001\u3002\u8fd9\u4e00\u901a\u8fc7\u7406\u8bba\u53d1\u73b0\u7684\u65b0\u7684\u91cf\u5b50\u62d3\u6251\u7269\u6001\uff0c\u540e\u6765\u88ab\u79f0\u4e3a\u62d3\u6251\u7edd\u7f18\u4f53<\/strong>\u3002\u8fd9\u4e00\u7406\u8bba\u9884\u8a00\u5f88\u5feb\u88ab\u5b9e\u9a8c\u5b9e\u73b0\u548c\u8bc1\u5b9e\uff0c\u5f00\u542f\u4e86\u62d3\u6251\u7edd\u7f18\u4f53\u7684\u7814\u7a76\u65b9\u5411\u548c\u70ed\u6f6e\u3002\u62d3\u6251\u5e8f\u7684\u62d3\u6251\u5168\u606f\u539f\u7406\u540c\u6837\u9002\u7528\u4e8e\u62d3\u6251\u7edd\u7f18\u4f53\uff0c\u5e76\u5728\u5176\u53d1\u5c55\u4e2d\u8d77\u4e86\u5f88\u5927\u4f5c\u7528\u3002<\/span><\/section>\n

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6. \u62d3\u6251\u7edd\u7f18\u4f53\u7684\u5185\u6db5\u2014\u2014\u5bf9\u79f0\u4fdd\u62a4\u7684\u77ed\u7a0b\u7ea0\u7f20<\/strong><\/strong><\/p>\n<\/section>\n

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\u8fd9\u4e00\u63a2\u7d22\u6709\u4e00\u4e2a\u4e0d\u540c\u7684\u8d77\u70b9\u3002\u5f88\u65e9\u6211\u4eec\u5c31\u77e5\u9053\uff0c\u75311\/2\u81ea\u65cb\u6240\u5f62\u6210\u7684\uff0c\u5e26\u6709\u53cd\u94c1\u78c1\u76f8\u4e92\u4f5c\u7528\u7684\u4e00\u7ef4\u81ea\u65cb\u7cfb\u7edf\uff0c\u7531\u4e8e\u5f3a\u91cf\u5b50\u6da8\u843d\uff0c\u4e0d\u80fd\u5f62\u6210\u4e00\u4e2a\u81ea\u65cb\u5e8f\u7684\u65e0\u80fd\u9699\u7684\u53cd\u94c1\u78c1\u6001\u3002\u4f46\u5b83\u80fd\u5f62\u6210\u8fd1\u4f3c\u4e8e\u81ea\u65cb\u5e8f\u7684\u65e0\u80fd\u9699\u91cf\u5b50\u6001\u3002\u8fd9\u65f6\u4eba\u4eec\u666e\u904d\u8ba4\u4e3a\u75311\u81ea\u65cb\u6240\u5f62\u6210\u7684\u3001\u5e26\u6709\u53cd\u94c1\u78c1\u76f8\u4e92\u4f5c\u7528\u7684\u4e00\u7ef4\u81ea\u65cb\u7cfb\u7edf\uff0c\u7531\u4e8e\u6709\u8f83\u5f31\u91cf\u5b50\u6da8\u843d\uff0c\u4e5f\u4e00\u5b9a\u4f1a\u5f62\u6210\u8fd1\u4f3c\u4e8e\u81ea\u65cb\u5e8f\u7684\u65e0\u80fd\u9699\u91cf\u5b50\u6001\u30021983\u5e74\uff0cHaldane\u6307\u51fa\u8fd9\u4e00\u731c\u60f3\u5e76\u4e0d\u6b63\u786e[25]<\/span>\uff08\u8fd9\u4e5f\u662f\u4ed6\u83b7\u5f972016\u8bfa\u5956\u7684\u4e00\u4e2a\u539f\u56e0\uff09<\/span>\u3002\u4ed6\u53d1\u73b0\uff0c\u53ea\u6709\u534a\u6574\u6570\u81ea\u65cb\u5f62\u6210\u7684\u4e00\u7ef4\u81ea\u65cb\u7cfb\u7edf\uff0c\u80fd\u5f62\u6210\u8fd1\u4f3c\u4e8e\u81ea\u65cb\u5e8f\u7684\u65e0\u80fd\u9699\u91cf\u5b50\u6001\u3002\u800c\u6574\u6570\u81ea\u65cb\u5f62\u6210\u7684\u4e00\u7ef4\u81ea\u65cb\u7cfb\u7edf\uff0c\u53ea\u80fd\u5f62\u6210\u5b8c\u5168\u6ca1\u6709\u81ea\u65cb\u5e8f\u7684\u6709\u80fd\u9699\u91cf\u5b50\u6001\u3002Affleck\u3001Kennedy\u3001Lieb\u3001Tasaki\u548c\u540e\u6765\u7684\u5434\u5927\u742a\u53d1\u73b0[26-27]\uff0c\u8fd9\u4e9b\u6709\u80fd\u9699\u7684\u91cf\u5b50\u6001\u6709\u5206\u6570\u5316\u73b0\u8c61\uff1a\u4f53\u7cfb\u7684\u8fb9\u754c\u4f1a\u4ea7\u751f\u4e00\u4e2a\u6709\u6548\u81ea\u65cb\uff0c\u5176\u81ea\u65cb\u503c\u53ea\u662f\u539f\u6765\u5f62\u6210\u4e00\u7ef4\u81ea\u65cb\u4f53\u7cfb\u7684\u81ea\u65cb\u503c\u7684\u4e00\u534a\u3002<\/span><\/section>\n

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\u90a3\u4e48\u8fd9\u4e9b\u6709\u80fd\u9699\u3001\u53c8\u6709\u8fb9\u754c\u5206\u6570\u5316\u7684\u91cf\u5b50\u7269\u6001\uff0c\u662f\u4e0d\u662f\u8d85\u8d8a\u6717\u9053\u5bf9\u79f0\u7406\u8bba\u7684\u65b0\u7684\u91cf\u5b50\u7269\u6001\uff1f\u8fd9\u4e00\u95ee\u9898\u56f0\u60d1\u4e86\u7269\u7406\u5b66\u5bb6\u4e8c\u4e09\u5341\u5e74\u3002\u76f4\u52302012\u5e74\uff0c\u8fd9\u4e00\u95ee\u9898\u624d\u5f97\u5230\u5706\u6ee1\u7684\u89e3\u51b3[28]\uff0c\u5176\u7b54\u6848\u662f\u6709\u65f6\u5019\u662f\uff0c\u6709\u65f6\u5019\u4e0d\u662f\u3002\u6211\u4eec\u53d1\u73b0\u7531\u5076\u6574\u6570\u81ea\u65cb\u6240\u5f62\u6210\u7684\u6709\u80fd\u9699\u91cf\u5b50\u6001\uff0c\u5e76\u6ca1\u6709\u8d85\u8d8a\u6717\u9053\u5bf9\u79f0\u7406\u8bba\uff0c\u662f\u8001\u7684\u91cf\u5b50\u7269\u6001\u3002\u800c\u7531\u5947\u6574\u6570\u81ea\u65cb\u6240\u5f62\u6210\u7684\u6709\u80fd\u9699\u91cf\u5b50\u6001\uff0c\u662f\u8d85\u8d8a\u6717\u9053\u5bf9\u79f0\u7406\u8bba\u7684\u65b0\u578b\u91cf\u5b50\u7269\u6001[29]\u3002\u8fd9\u4e00\u65b0\u578b\u91cf\u5b50\u7269\u6001\u5e76\u6ca1\u6709\u957f\u7a0b\u91cf\u5b50\u7ea0\u7f20<\/span>\uff08\u4e5f\u5c31\u662f\u8bf4\u6ca1\u6709\u62d3\u6251\u5e8f\uff09<\/span>\u3002<\/span><\/section>\n

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\u4e00\u4e2a\u91cf\u5b50\u7269\u6001\uff0c\u5982\u679c\u6ca1\u6709\u62d3\u6251\u5e8f\uff0c\u5927\u5bb6\u4e00\u76f4\u4ee5\u4e3a\u8fd9\u4e2a\u91cf\u5b50\u7269\u6001\u4e00\u5b9a\u662f\u4e00\u4e2a\u80fd\u88ab\u6717\u9053\u5bf9\u79f0\u7406\u8bba\u6240\u63cf\u5199\u7684\u8001\u7684\u91cf\u5b50\u7269\u6001\u3002\u7684\u786e\uff0c\u5982\u679c\u6ca1\u6709\u5bf9\u79f0\u6027\uff0c\u8fd9\u4e00\u89c2\u70b9\u662f\u6b63\u786e\u7684\u3002\u56e0\u4e3a\u5982\u679c\u6ca1\u6709\u5bf9\u79f0\u6027\uff0c\u6240\u6709\u6ca1\u6709\u62d3\u6251\u5e8f\u7684\u91cf\u5b50\u4f53\u7cfb\u90fd\u5c5e\u4e8e\u540c\u4e00\u4e2a\u76f8\u3002\u8fd9\u4e0e\u6717\u9053\u5bf9\u79f0\u7406\u8bba\u7684\u7ed3\u8bba\u76f8\u543b\u5408\uff1a\u5982\u679c\u6ca1\u6709\u5bf9\u79f0\u6027\uff0c\u6240\u6709\u6709\u80fd\u9699\u7684\u91cf\u5b50\u4f53\u7cfb\u90fd\u5c5e\u4e8e\u540c\u4e00\u4e2a\u76f8\u3002<\/span><\/section>\n

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\u4f46\u662f\u5982\u679c\u6709\u5bf9\u79f0\u6027\uff0c\u6211\u4eec\u4f1a\u6709\u5b8c\u5168\u4e0d\u540c\u7684\u7ed3\u8bba\u30022009\u5e74\u987e\u6b63\u6f84\u548c\u6211\u7814\u7a76\u4e86\u5947\u6574\u6570\u81ea\u65cb\u6240\u5f62\u6210\u7684\u6709\u80fd\u9699\u91cf\u5b50\u6001[29]\u3002\u6211\u4eec\u53d1\u73b0\u8fd9\u4e9b\u6709\u80fd\u9699\u91cf\u5b50\u6001\u6ca1\u6709\u62d3\u6251\u5e8f\uff0c\u53ea\u5177\u6709\u77ed\u7a0b\u91cf\u5b50\u7ea0\u7f20<\/strong>\u3002\u5b83\u4eec\u548c0\u81ea\u65cb\u6240\u5f62\u6210\u7684\u6709\u80fd\u9699\u91cf\u5b50\u6001\u5177\u6709\u5b8c\u5168\u76f8\u540c\u7684\u5bf9\u79f0\u6027\uff0c\u540c\u65f6\u53c8\u90fd\u4e0d\u542b\u6709\u62d3\u6251\u5e8f\u3002\u53ef\u5947\u602a\u7684\u662f\uff0c\u6211\u4eec\u53d1\u73b0\u8fd9\u4e24\u79cd\u6709\u80fd\u9699\u7684\u91cf\u5b50\u6001\u53c8\u5c5e\u4e8e\u4e0d\u540c\u7684\u76f8\u3002\u8fd9\u8bf4\u660e\u5728\u6709\u5bf9\u79f0\u6027\u7684\u60c5\u51b5\u4e0b\uff0c\u4e0d\u542b\u6709\u62d3\u6251\u5e8f\u540c\u65f6\u53c8\u5177\u6709\u76f8\u540c\u5bf9\u79f0\u6027\u7684\u91cf\u5b50\u6001\uff0c\u5b8c\u5168\u53ef\u4ee5\u5c5e\u4e8e\u4e0d\u540c\u7684\u76f8\u3002\u8fd9\u8d85\u51fa\u4e86\u6717\u9053\u5bf9\u79f0\u7406\u8bba\u7684\u8ba4\u77e5\uff0c\u5c5e\u4e8e\u65b0\u7684\u4e00\u7c7b\u91cf\u5b50\u6001\u3002\u6211\u4eec\u628a\u8fd9\u4e00\u7c7b\u91cf\u5b50\u6001\uff0c\u79f0\u4e3a\u5bf9\u79f0\u4fdd\u62a4\u5e73\u5eb8\u6001<\/span>\uff08\u8fd9\u91cc\u5e73\u5eb8\u6307\u4e0d\u542b\u62d3\u6251\u5e8f\uff09<\/span>\u3002\u53ef\u56e0\u5176\u5206\u6570\u5316\u7684\u8fb9\u754c\u81ea\u65cb\uff0c\u5f53\u65f6\u5df2\u7ecf\u6709\u5f88\u591a\u4eba\u628a\u6574\u6570\u81ea\u65cb\u6240\u5f62\u6210\u7684\u6709\u80fd\u9699\u91cf\u5b50\u6001\uff0c\u79f0\u4e3a\u62d3\u6251\u7269\u6001\u3002\u6240\u4ee5\u6211\u4eec\u628a\u8fd9\u4e00\u7c7b\u91cf\u5b50\u6001\uff0c\u53c8\u79f0\u4e3a\u5bf9\u79f0\u4fdd\u62a4\u62d3\u6251\u6001<\/strong>\u3002\u4e24\u79cd\u540d\u5b57\u7684\u82f1\u6587\u7f29\u5199\u90fd\u662fSPT\u3002\u4e00\u4e2a\u540d\u5b57\uff0c\u4e24\u79cd\u7406\u89e3\uff0c\u56e0\u4eba\u800c\u5f02\uff0c\u5404\u53d6\u5176\u7528\u3002<\/span><\/section>\n

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\u56e0\u4e3a\u62d3\u6251\u7edd\u7f18\u4f53\u4e0d\u542b\u62d3\u6251\u5e8f\uff0c\u4f46\u5e26\u6709\u5bf9\u79f0\u6027\uff0c\u5e76\u53d7\u5bf9\u79f0\u6027\u4fdd\u62a4\uff0c\u6240\u4ee5\u62d3\u6251\u7edd\u7f18\u4f53\u7684\u7cbe\u9ad3\u548c\u5185\u6db5\u662f\u5bf9\u79f0\u4fdd\u62a4\u7684\u77ed\u7a0b\u591a\u4f53\u91cf\u5b50\u7ea0\u7f20<\/strong>\uff0c\u662f\u5c5e\u4e8e\u4e00\u79cdSPT\u91cf\u5b50\u7269\u6001\u3002\u8fd9\u4e00\u7406\u89e3\u9002\u7528\u4e8e\u6ca1\u6709\u76f8\u4e92\u4f5c\u7528\u7684\u7535\u5b50\u4f53\u7cfb\uff0c\u4e5f\u9002\u7528\u4e8e\u6709\u76f8\u4e92\u4f5c\u7528\u7684\u7535\u5b50\u4f53\u7cfb\uff0c\u53c8\u9002\u7528\u4e8e\u6709\u76f8\u4e92\u4f5c\u7528\u7684\u73bb\u8272\u5b50\u4f53\u7cfb\uff0c\u662f\u4e00\u4e2a\u672c\u8d28\u4e0a\u7684\u7406\u89e3\u3002<\/span><\/section>\n

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\u77ed\u7a0b\u591a\u4f53\u91cf\u5b50\u7ea0\u7f20\u662f\u4e00\u4e2a\u6bd4\u8f83\u7b80\u5355\u7684\u91cf\u5b50\u73b0\u8c61\uff0c\u52a0\u4e0a\u5bf9\u79f0\u6027\u4e5f\u6ca1\u6709\u590d\u6742\u5f88\u591a\u3002\u4e00\u4e24\u5e74\u540e\u6211\u4eec\u5c31\u53d1\u73b0\u4e86\u63cf\u5199\u8fd9\u4e00\u7269\u7406\u73b0\u8c61\u7684\u6570\u5b66\u8bed\u8a00\uff1a\u7fa4\u7684\u4e0a\u540c\u8c03\u7406\u8bba<\/strong>[30]\u3002\u8fd9\u4e5f\u662f\u4e00\u4e2a\u6bd4\u8f83\u62bd\u8c61\u7684\u8fd1\u4ee3\u6570\u5b66\u3002<\/span><\/section>\n

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\u4e00\u4e2a\u5168\u65b0\u7684\u7269\u7406\u73b0\u8c61\uff0c\u5e38\u5e38\u9700\u8981\u4e00\u4e2a\u5168\u65b0\u7684\u6570\u5b66\u8bed\u8a00\u3002\u800c\u6570\u5b66\u8bed\u8a00\u7684\u53d1\u5c55\u53c8\u80fd\u5e2e\u52a9\u6211\u4eec\u5efa\u7acb\u8fd9\u4e00\u7269\u7406\u73b0\u8c61\u7684\u5b8c\u5907\u7406\u8bba\u3002\u51dd\u805a\u6001\u7269\u7406\u6700\u65b0\u7684\u4e00\u4e9b\u53d1\u5c55\u6b63\u53cd\u6620\u4e86\u8fd9\u4e00\u5386\u53f2\u89c4\u5f8b\u3002\u8fd9\u4e9b\u53d1\u5c55\u548c\u91cf\u5b50\u8ba1\u7b97\uff0c\u57fa\u672c\u7c92\u5b50\u7406\u8bba\u548c\u91cf\u5b50\u5f15\u529b\u7406\u8bba\u90fd\u6709\u975e\u5e38\u5e7f\u6cdb\u6df1\u523b\u7684\u8054\u7cfb\uff0c\u751a\u81f3\u6307\u51fa\u4e86\u4e00\u4e2a\u7269\u8d28\u4e0e\u4fe1\u606f\u7edf\u4e00\u7684\u65b0\u7684\u4e16\u754c\u89c2\u3002\u8fd9\u4f3c\u4e4e\u4e5f\u63ed\u793a\u4e8621\u4e16\u7eaa\u7269\u7406\u7684\u4e3b\u89d2\u5e94\u8be5\u662f\u91cf\u5b50\u7ea0\u7f20\u3002<\/span><\/section>\n
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\u8303\u7574\u8bba\u662f\u4e00\u4e2a\u7814\u7a76\u7ed3\u6784\u7684\u7406\u8bba\uff0c\u63d0\u4f9b\u4e86\u4e00\u79cd\u7cfb\u7edf\u3001\u7cbe\u786e\u3001\u62bd\u8c61\u7684\u8de8\u9886\u57df\u79d1\u5b66\u65b9\u6cd5\u8bba\uff0c\u53ef\u76f4\u63a5\u4ed8\u8bf8\u4e8e\u5404\u9886\u57df\u8003\u5bdf\u7684\u95ee\u9898\uff0c\u5bfb\u6c42\u8de8\u9886\u57df\u7684\u89e3\u51b3\u4e4b\u9053\u3002<\/span>\u8fd9\u79cd\u6570\u5b66\u8bed\u8a00\u4e0e\u590d\u6742\u6027\u79d1\u5b66\u6709\u4f17\u591a\u76f8\u4f3c\u4e4b\u5904\uff0c\u52a0\u4e4b\u5176\u672c\u8eab\u4f5c\u4e3a\u6570\u5b66\u5de5\u5177\u7684\u4e25\u5bc6\u6027\uff0c\u540e\u7eed\u53ef\u80fd\u80fd\u4e3a\u89e3\u51b3\u590d\u6742\u6027\u79d1\u5b66\u95ee\u9898\u63d0\u4f9b\u4e00\u628a\u94a5\u5319\u3002<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


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\u4e3a\u4e86\u8ba9\u5927\u5bb6\u4e86\u89e3\u8303\u7574\u8bba\u8fd9\u6837\u4e00\u95e8\u73b0\u4ee3\u6570\u5b66\u8bed\u8a00\uff0c\u514b\u670d\u4f20\u7edf\u5b66\u4e60\u8303\u7574\u8bba\u62bd\u8c61\u548c\u5bf9\u524d\u7f6e\u77e5\u8bc6\u7684\u969c\u788d\uff0c\u96c6\u667a\u5b66\u56ed\u7279\u9080\u4e00\u4f4d\u6b63\u5728\u5c1d\u8bd5\u6559\u4e2d\u5b66\u751f\u8303\u7574\u8bba\u7684J-CAT\u732b\u5708\u8001\u5e08\u5f00\u8bfe\uff0c\u7b79\u5212\u4e86\u201c\u96c6\u667a\u8303\u7574\u8bba\u5165\u95e8\u7cfb\u5217\u8bfe\u7a0b\u201d\u3002\u7b2c\u4e8c\u5b63\u8bfe\u7a0b\u6b63\u5f0f\u63a8\u51fa\uff0c\u5728\u7b2c\u4e00\u5b63<\/a>\u4e60\u5f97\u7684\u8303\u7574\u8bba\u601d\u7ef4\u65b9\u5f0f\u57fa\u7840\u4e0a\uff0c\u672c\u5b63\u8bfe\u7a0b\u5c06\u7ad9\u5728\u65b0\u7684\u8d77\u70b9\u4e0a\uff0c\u66f4\u591a\u5173\u6ce8\u8303\u7574\u8bba\u5185\u5728\u7684\u95ee\u9898\uff0c\u800c\u4e0d\u7528\u8fc7\u4e8e\u5173\u6ce8\u5177\u4f53\u7684\u95ee\u9898\u80cc\u666f\u3002\u4f8b\u5982\u5728\u8303\u7574\u8bba\u4e2d\uff0c\u53ef\u4ee5\u76f4\u63a5\u62bd\u8c61\u5730\u8ba8\u8bba\u4e00\u4e2a\u4f5c\u4e3a\u51fd\u5b50\u7684\u7bad\u5934\u5982\u4f55\u8fd0\u52a8\u5230\u53e6\u4e00\u4e2a\u51fd\u5b50\u7bad\u5934\uff0c\u8fd9\u6837\u9700\u8981\u7406\u89e3\u51fd\u5b50\u8303\u7574\u548c\u81ea\u7136\u53d8\u6362\u7684\u6982\u5ff5\u3002\u901a\u8fc7\u638c\u63e1\u8fd9\u4e9b\u8d8a\u6765\u8d8a\u62bd\u8c61\u7684\u601d\u7ef4\u5de5\u5177\uff0c\u5b66\u5458\u5c06\u9010\u6e10\u611f\u53d7\u5230\u8303\u7574\u8bba\u7684\u5f3a\u5927\u62bd\u8c61\u7b80\u5316\u80fd\u529b\uff0c\u611f\u53d7\u5230\u4e3a\u4f55\u4e0d\u540c\u9886\u57df\u7684\u7814\u7a76\u524d\u6cbf\u4e0d\u7ea6\u800c\u540c\u5730\u5e94\u7528\u8fd9\u4e9b\u5de5\u5177\u3002<\/span><\/p>\n


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