{"id":31353,"date":"2018-07-16T00:32:53","date_gmt":"2018-07-15T16:32:53","guid":{"rendered":"https:\/\/case.ntu.edu.tw\/blog\/?p=31353"},"modified":"2018-08-29T17:06:48","modified_gmt":"2018-08-29T09:06:48","slug":"test","status":"publish","type":"post","link":"https:\/\/case.ntu.edu.tw\/blog\/?p=31353","title":{"rendered":"\u53ef\u80fd\u7684\u65b0\u7269\u8cea\u76f8\uff08\u4e00\uff09\uff1a\u975c\u96fb\u5b78\u7684\u555f\u793a"},"content":{"rendered":"<p><span style=\"color: #333399;\"><strong>\u25a0\u7269\u7406\u5b78\u5bb6\u81f4\u529b\u65bc\u63a2\u7d22\u7269\u8cea\u7684\u76f8\u7684\u7d42\u6975\u53ef\u80fd\u6027\u3002\u800c\u8fd1\u5e74\u4f86\u7684\u300cfracton\u300d\u662f\u4e00\u985e\u5d84\u65b0\uff0c\u9084\u4e0d\u78ba\u5b9a\u5982\u4f55\u5206\u985e\u7684\u76f8\u3002<\/strong><\/span><\/p>\n<figure id=\"attachment_31187\" aria-describedby=\"caption-attachment-31187\" style=\"width: 400px\" class=\"wp-caption alignleft\"><img fetchpriority=\"high\" decoding=\"async\" class=\"wp-image-31187\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/06\/fracton1-fig1.jpg\" alt=\"\" width=\"400\" height=\"393\" \/><figcaption id=\"caption-attachment-31187\" class=\"wp-caption-text\">\u51b0\u7684\u7d50\u6676\u3002photo credit: wikipedia<\/figcaption><\/figure>\n<p><strong>\u64b0\u6587\uff5c\u856d\u7dad\u7ff0<\/strong><\/p>\n<p>\u9019\u500b\u958b\u982d\u5df2\u7d93\u8001\u5957\u5f97\u8b93\u7b46\u8005\u6709\u9ede\u7f9e\u6127\uff0c\u7136\u800c\uff0c\u6211\u9084\u662f\u5fc5\u9808\u91cd\u7533\uff0c\u5c0d\u65bc\u7269\u8cea\u7684\u300c\u76f8\u300d\uff08phase\uff09\u7684\u53ef\u80fd\u6027\u4e00\u76f4\u662f\u56fa\u614b\u3001\u51dd\u614b\u7269\u7406\u5b78\u5bb6\u6240\u5728\u610f\u7684\u5927\u8ab2\u984c\u4e4b\u4e00\u3002\u6216\u8a31\u5c0d\u65bc\u4e00\u822c\u8b80\u8005\u66f4\u91cd\u8981\u7684\u4e8b\u60c5\u662f\uff0c\u9019\u985e\u7814\u7a76\u7684\u8d77\u6e90\u662f\u8207\u751f\u6d3b\u606f\u606f\u76f8\u95dc\u7684\u3002\u6700\u7c21\u55ae\u7684\u4f8b\u5b50\u5305\u62ec\u56de\u7b54\u51b0\u8207\u6c34\u4e4b\u9593\u7684\u5dee\u7570\u3001\u9435\u548c\u78c1\u9435\u9593\u7684\u5340\u5225\u3002\u5f9e\u800c\u4e5f\u4e0d\u96e3\u60f3\u50cf\uff0c\u9019\u985e\u5f9e\u751f\u6d3b\u4e2d\u7372\u5f97\u8a31\u591a\u63d0\u793a\u7684\u554f\u984c\uff0c\u9060\u5728 1930 \u5e74\u4ee3\uff0c\u4fbf\u6709\u862d\u9053\uff08L.D.\u00a0 Landau\uff09[1] \u7b49\u5927\u4eba\u7269\u89e3\u6c7a\u4e86\u3002<\/p>\n<p>\u5230\u4e86 1980 \u5e74\u4ee3\uff0c\u4eba\u5011\u767c\u73fe\u6709\u4e00\u4e9b\u7cfb\u7d71\u7684\u76f8\u6c92\u6709\u8fa6\u6cd5\u7528\u524d\u8ff0\u7684\u5178\u7bc4\u5f0f\u6982\u5ff5\u53bb\u5340\u5206\u3002\u6700\u5177\u9ad4\u800c\u6613\u61c2\u7684\u4f8b\u5b50\u662f\u91cf\u5b50\u970d\u723e\u6548\u61c9\uff0c\u5728\u9019\u7a2e\u7cfb\u7d71\u4e2d\uff0c\u4e0d\u540c\u7684\u970d\u723e\u614b\u662f\u7531\u970d\u723e\u96fb\u5c0e\u7684\u4fc2\u6578\u53bb\u6c7a\u5b9a\uff0c\u4f46\u6bcf\u500b\u614b\u90fd\u662f\u4e00\u7a2e\u300c\u91cf\u5b50\u6db2\u9ad4\u300d\uff08quantum liquid\uff09\u904e\u53bb\u4e8c\u3001\u4e09\u5341\u5e74\uff0c\u8a31\u591a\u7269\u7406\u5b78\u5bb6\u4fbf\u81f4\u529b\u65bc\u5b9a\u7fa9\u65b0\u7684\u76f8\u53bb\u6b78\u985e\u6240\u6709\u53ef\u80fd\u7684\u91cf\u5b50\u72c0\u614b\uff0c\u6709\u8208\u8da3\u7684\u8b80\u8005\u53ef\u4ee5\u53bb\u641c\u5c0b\u95dc\u65bc\u62d3\u6a38\u76f8\uff08topological phase\uff09\u7684\u6587\u737b [2]\u3002<!--more--><\/p>\n<p>\u7136\u800c\uff0c\u76f8\u7684\u5206\u985e\u5b78\u537b\u6c92\u6709\u56e0\u70ba\u62d3\u6a38\u76f8\u9818\u57df\u7684\u6210\u719f\u800c\u5b8c\u7d50\u3002\u6700\u8fd1\u9019\u5e7e\u5e74\uff0c\u7269\u7406\u5b78\u5bb6\u53c8\u9678\u7e8c\u767c\u73fe\u4e86\u4e00\u4e9b\u65b0\u7684\u6a21\u578b\uff0c\u5176\u4e2d\u67d0\u4e9b\u7269\u8cea\u614b\u8d85\u8d8a\u4e86\u96d9\u96d9\u862d\u9053\u5178\u7bc4\u8207\u62d3\u6a38\u76f8\u7684\u754c\u5b9a\u7bc4\u7587\uff0c\u6709\u4e00\u985e\u9019\u6a23\u7684\u7cfb\u7d71\u53eb\u505a fracton<a href=\"#_ftn1\" name=\"_ftnref1\"><sup>[1]<\/sup><\/a> [3]\u3002\u5118\u7ba1\u5728\u5be6\u9a57\u4e0a\uff0c\u9019\u4e9b\u6a21\u578b\u662f\u5426\u80fd\u5920\u88ab\u5be6\u969b\u5730\u5275\u9020\u51fa\u4f86\u9084\u662f\u672a\u77e5\u6578\uff0c\u4f46\u5b78\u7406\u4e0a\u8981\u5b8c\u5099\u6240\u6709\u53ef\u80fd\u7684\u7269\u8cea\u76f8\uff0c\u52e2\u5fc5\u9084\u9700\u8981\u4e00\u9ede\u52aa\u529b\u3002<\/p>\n<p>\u7b46\u8005\u66fe\u7d93\u5f88\u7336\u8c6b\u662f\u5426\u8a72\u8cbf\u7136\u4ecb\u7d39\u9019\u985e\u767c\u5c55\u4e2d\u7684\u6982\u5ff5\uff0c\u5c24\u5176\u5728\u9023\u4e00\u4e9b\u8f03\u6210\u719f\u7684\u7269\u8cea\u76f8\u6982\u5ff5\u90fd\u9084\u672a\u8b80\u8005\u4ecb\u7d39\u524d\uff0c\u5c31\u5e0c\u671b\u5927\u5bb6\u80fd\u611f\u53d7\u5230\u5176\u4e2d\u7684\u5dee\u7570\u3002<\/p>\n<p>\u76f4\u5230\u9019\u5e7e\u65e5\uff0c\u7b46\u8005\u767c\u73fe\u4e86 fracton \u7684\u7dad\u57fa\u9801\u9762\uff0c\u4e14\u57fa\u65bc\u4e4b\u524d\u7684\u95b1\u8b80\u7d93\u9a57\uff0c\u89ba\u5f97\u9019\u4e9b\u7cfb\u7d71\u7684\u67d0\u4e9b\u6982\u5ff5\u6216\u8a31\u8f03\u62d3\u6a38\u76f8\u66f4\u76f4\u89ba\u4e00\u9ede\uff0c\u56e0\u6b64\u6c7a\u5b9a\u5192\u96aa\u4f7f\u7528\u5169\u7bc7\u6587\u7ae0\u4f86\u4ecb\u7d39\u9019\u500b\u975e\u50b3\u7d71\u7684\u7269\u8cea\u614b\u3002<\/p>\n<figure id=\"attachment_31188\" aria-describedby=\"caption-attachment-31188\" style=\"width: 500px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"wp-image-31188\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/06\/fracton1-fig2.jpg\" alt=\"\" width=\"500\" height=\"333\" \/><figcaption id=\"caption-attachment-31188\" class=\"wp-caption-text\">Figure2. \u6c34\u6ef4\u7684\u7d30\u90e8\u5716\u3002photo credit: Wikipedia<\/figcaption><\/figure>\n<p>\u8aaa\u4e86\u9019\u9ebc\u591a\uff0c\u7a76\u7adf\u4ec0\u9ebc\u662f fracton\uff1f\u6216\u8005\u8aaa\uff0c\u7576\u4e00\u500b\u300c\u96fb\u8377\u300d\u5177\u6709\u4ec0\u9ebc\u7279\u6027\u6642\uff0c\u6211\u5011\u6703\u53eb\u5b83 fracton\uff1f\u53d7\u9650\u65bc\u7b46\u8005\u7684\u77e5\u8b58\u8207\u8a72\u9818\u57df\u7684\u65b0\u7a4e\uff0c\u7b46\u8005\u5f88\u96e3\u5beb\u4e0b\u4e00\u500b\u56b4\u683c\u7684\u5b9a\u7fa9\u4f86\u63cf\u8ff0\u9019\u4ef6\u4e8b\u3002\u4f46\u6211\u5011\u77e5\u9053\u4e00\u4e9b\u7279\u5fb5\uff1a\u5982\u679c\u4e00\u500b\u7cfb\u7d71\u88e1\u9762\u6709\u4e00\u4e9b\u300c\u7c92\u5b50\u300d\uff0c\u7576\u5b83\u7368\u81ea\u5b58\u5728\u6642\uff0c\u5b8c\u5168\u6c92\u8fa6\u6cd5\u5728\u4e0d\u5275\u9020\u5176\u4ed6\u7c92\u5b50\u7684\u72c0\u6cc1\u4e0b\u79fb\u52d5\u5b83\uff0c\u6216\u8005\u53ea\u80fd\u5728\u67d0\u500b\u7dad\u5ea6\u79fb\u52d5\u7684\u6642\u5019\uff0c\u6211\u5011\u7a31\u547c\u5b83\u70ba fracton\u3002<\/p>\n<p>\u5118\u7ba1 fracton \u6700\u521d\u662f\u51fa\u73fe\u5728\u4e00\u4e9b\u5f88\u7279\u6b8a\u7684\u6a21\u578b\u4e0a\uff0c\u9019\u5169\u5e74\u4f86\u7269\u7406\u5b78\u5bb6\u5011\u767c\u73fe\u5728\u4e00\u4e9b\u8ddf\u96fb\u78c1\u5b78\u5f88\u50cf\u7684\u7269\u7406\u7406\u8ad6\u4e2d\u7684\u300c\u96fb\u8377\u300d\u5177\u6709 fracton \u7684\u7279\u6027 [4]\u3002\u5728\u5269\u4e0b\u7684\u7bc7\u5e45\uff0c\u7b46\u8005\u5c31\u4f86\u8ac7\u8ac7\u4e00\u4e9b\u9ad8\u4e2d\u96fb\u78c1\u5b78\u7a0b\u5ea6\u7684\u6982\u5ff5\uff0c\u4e26\u7531\u9019\u4e9b\u6982\u5ff5\u6f14\u7e79\u51fa\u4e00\u4e9b\u4e0d\u56f0\u96e3\uff0c\u4f46\u4e0d\u5e38\u88ab\u5f37\u8abf\u7684\u6982\u5ff5\u3002<\/p>\n<p>\u8b93\u6211\u5011\u56de\u61b6\u9ad8\u4e09\u7269\u7406\u6216\u8005\u5927\u4e00\u666e\u901a\u7269\u7406\u4e0b\u3002\u5728\u975c\u96fb\u5b78\u7684\u55ae\u5143\u4e2d\uff0c\u6211\u5011\u77e5\u9053\u82e5\u6709\u4eba\u628a\u4e00\u4e9b\u96fb\u8377\u5305\u5728\u4e00\u500b\u5f88\u5927\u5f88\u5927\u7684\u9ed1\u76d2\u5b50\u4e2d\uff0c\u539f\u5247\u4e0a\u5c31\u7b97\u770b\u4e0d\u898b\u76d2\u5b50\u5167\u90e8\u7684\u7d30\u7bc0\uff0c\u6211\u5011\u4e5f\u53ef\u4ee5\u77e5\u9053\u76d2\u5b50\u5167\u7684\u6de8\u300c\u96fb\u8377\u300d\u6709\u591a\u5c11\u3002\u9019\u662f\u56e0\u70ba\u96fb\u8377\u7684\u9ad8\u65af\u5b9a\u5f8b\u8aaa\uff0c\u76d2\u5b50\u5167\u7684\u96fb\u8377\u91cf\u6b63\u6bd4\u65bc\u6574\u500b\u76d2\u5b50\u7684\u96fb\u901a\u91cf\u3002\u662f\u4ee5\u5373\u4fbf\u53ea\u6709\u76d2\u5b50\u8868\u9762\u7684\u96fb\u5834\u8cc7\u8a0a\uff0c\u6211\u5011\u4e5f\u80fd\u8a08\u7b97\u96fb\u901a\u91cf\u7136\u5f8c\u5f97\u77e5\u5167\u90e8\u7684\u96fb\u8377\u7e3d\u548c\u3002<\/p>\n<p>\u9019\u500b\u8ad6\u8ff0\uff0c\u662f\u8ddf\u76d2\u5b50\u5927\u5c0f\u7121\u95dc\u7684\uff0c\u6bd4\u5982\u8aaa\uff0c\u6211\u5011\u53ef\u4ee5\u5c07\u6240\u6709\u96fb\u8377\u96c6\u4e2d\u5728\u534a\u5f91\u4e00\u516c\u5206\u7684\u7403\u9ad4\u88e1\u9762\uff0c\u7136\u5f8c\u5206\u5225\u5728\u534a\u5f91\u5341\u516c\u5c3a\u8207\u5341\u516c\u91cc\u7684\u7403\u6bbc\u8868\u9762\u8a08\u7b97\u96fb\u901a\u91cf\uff0c\u6240\u7372\u5f97\u7684\u8a08\u7b97\u7d50\u679c\u90fd\u8981\u4e00\u6a23\u3002<\/p>\n<p>\u9019\u610f\u5473\u8457\uff0c\u5982\u679c\u6211\u5011\u6709\u4e00\u7fa4\u5c0f\u5929\u4f7f\u53ef\u4ee5\uff0c\u4e5f\u50c5\u53ef\u4ee5\u6539\u8b8a\u534a\u5f91\u4e00\u516c\u5206\u7684\u7403\u5167\u7684\u7269\u7406\u72c0\u614b\uff0c\u66f4\u660e\u78ba\u5730\u8b1b\uff0c\u4ed6\u5011\u53ef\u4ee5\u5275\u9020\u6216\u6467\u6bc0\u9019\u5c40\u90e8\u7684\u96fb\u8377\uff0c\u9ad8\u65af\u5b9a\u5f8b\u544a\u8a34\u6211\u5011\u7684\u662f\uff0c\u9019\u7fa4\u5c0f\u5929\u4f7f\u6240\u505a\u7684\u4efb\u4f55\u6539\u8b8a\u90fd\u7121\u6cd5\u6539\u8b8a\u6de8\u96fb\u8377\u6578\u3002\u56e0\u70ba\u6211\u5011\u7684\u524d\u63d0\u9650\u5236\u4e86\u4ed6\u5011\u7121\u6cd5\u6539\u8b8a\u534a\u5f91\u4e00\u516c\u5206\u5916\u7684\u4e16\u754c\uff0c\u4f46\u6de8\u96fb\u8377\u7684\u91cf\u53ef\u4ee5\u900f\u904e\u8a08\u7b97\u534a\u5f91\u5341\u516c\u91cc\u8655\u7684\u96fb\u901a\u91cf\u5f97\u77e5\uff0c\u53ea\u8981\u9019\u8868\u9762\u4e0a\u7684\u7269\u7406\u72c0\u614b\u6c92\u6709\u88ab\u6539\u8b8a\uff0c\u5167\u542b\u7684\u6de8\u96fb\u8377\u4e5f\u5c31\u5fc5\u9700\u7dad\u6301\u4e0d\u8b8a\u3002<\/p>\n<p>\u63db\u4e00\u53e5\u6bd4\u8f03\u50cf\u9ad8\u4e2d\u8001\u5e2b\u7684\u8a71\u8aaa\uff0c\u7531\u65bc\u96fb\u529b\u7dda\u7d42\u6b62\uff08\u6216\u8d77\u59cb\uff09\u65bc\u7121\u7aae\u9060\u8655\uff0c\u4efb\u4f55\u5c40\u90e8\u7684\u64cd\u4f5c\u90fd\u6c92\u8fa6\u6cd5\u6467\u6bc0\u6216\u751f\u6210\u65b0\u7684\u96fb\u529b\u7dda\u3002\u800c\u9ede\u96fb\u8377\uff0c\u96d6\u7136\u770b\u8d77\u4f86\u53ea\u662f\u4e00\u9ede\uff0c\u4f46\u537b\u4e0d\u662f\u4e00\u500b\u5c40\u90e8\u7684\u7269\u7406\u7269\u4ef6\u3002<\/p>\n<p>\u4f46\u9019\u7fa4\u5c0f\u5929\u4f7f\u53ef\u4ee5\u5275\u9020\u96fb\u5076\u6975\u800c\u4e0d\u9055\u53cd\u9ad8\u65af\u5b9a\u5f8b\uff0c\u4e5f\u5c31\u662f\u4e00\u6b21\u5275\u9020\u5169\u5806\u76f8\u540c\u96fb\u91cf\u4f46\u96fb\u6027\u4e0d\u540c\u7684\u96fb\u8377\u3002\u9019\u6a23\u7684\u81ea\u7531\u5ea6\u4f7f\u5f97\u55ae\u4e00\u7684\u96fb\u8377\u53ef\u4ee5\u900f\u904e\u5c40\u90e8\u7684\u64cd\u4f5c\u81ea\u7531\u79fb\u52d5\u3002\u8209\u4f8b\u800c\u8a00\uff0c\u82e5\u6211\u5011\u60f3\u8981\u628a\u4e00\u500b\u5728 x= 0 \u7684\u96fb\u8377 +q \u5f80\u53f3\u79fb\u52d5\uff0c\u6211\u5011\u53ef\u4ee5\u901a\u77e5\u5c0f\u5929\u4f7f\u5011\u5275\u9020\u4e00\u500b\u96fb\u5076\u6975 p\uff0c\u5176\u4e2d -q \u5728 x= 0 \u800c\u00a0 q \u5728 x = 1\uff0c\u900f\u904e\u5c07\u9019\u500b\u96fb\u5076\u6975\u4f5c\u7528\u5728\u539f\u5148\u7684\u96fb\u8377\u4e0a\uff0c\u5b83\u5c31\u50cf\u5f9e x= 0 \u79fb\u52d5\u5230 x= 1 \u4e00\u822c\u3002<\/p>\n<p>\u5728\u4e0b\u534a\u96c6\u4e2d\uff0c\u7b46\u8005\u5c07\u89e3\u91cb\uff0c\u57fa\u65bc\u540c\u6a23\u7684\u7269\u7406\u8ad6\u8ff0\u8207\u5716\u50cf\uff0c\u7576\u6211\u5011\u63a8\u5ee3\u9ad8\u65af\u5b9a\u5f8b\u5230\u96fb\u5076\u6975\u751a\u81f3\u5176\u4ed6\u7a2e\u985e\u7684\u96fb\u8377\u4e0a\u6642\uff0c\u9019\u4e9b\u300c\u57fa\u672c\u96fb\u8377\u300d\u7684\u884c\u52d5\u80fd\u529b\u5c07\u6703\u53d7\u5230\u5f88\u5927\u7684\u9650\u5236\uff0c\u800c\u67d0\u4e9b\u4f8b\u5b50\u4fbf\u5177\u6709 fracton \u7684\u7279\u5fb5\u3002<\/p>\n<figure id=\"attachment_31189\" aria-describedby=\"caption-attachment-31189\" style=\"width: 853px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"size-full wp-image-31189\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/06\/fracton1-fig3.png\" alt=\"\" width=\"853\" height=\"352\" srcset=\"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/06\/fracton1-fig3.png 853w, https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/06\/fracton1-fig3-800x330.png 800w\" sizes=\"(max-width: 853px) 100vw, 853px\" \/><figcaption id=\"caption-attachment-31189\" class=\"wp-caption-text\">\u672c\u5716\u5716\u89e3\u55ae\u6975\u96fb\u8377\uff08\u85cd\u8272\u661f\u661f\uff09\u5982\u4f55\u79fb\u52d5\u3002\u5982\u679c\u6211\u5011\u5141\u8a31\u5c0f\u5929\u4f7f\uff08\u7da0\u8272\u4eba\u5076\uff09\u5728\u5c40\u90e8\u5275\u9020\u5076\u6975\uff08\u7d05\u85cd\u661f\u661f\u5c0d\uff09\uff0c\u9019\u500b\u5076\u6975\u758a\u52a0\u4e0a\u539f\u6709\u7684\u96fb\u8377\u4fbf\u7b49\u540c\u65bc\u5c07\u96fb\u8377\u5411\u53f3\u79fb\u52d5\u4e00\u683c\u3002\uff08\u4f5c\u8005\u81ea\u7e6a\uff09<\/figcaption><\/figure>\n<p><strong>\u53c3\u8003\u8cc7\u6599\uff1a<\/strong><\/p>\n<p>[1] L. D. Landau, and E. M. Lifshitz, <em>Statistical Physics<\/em> Part 1, Course of Theoretical Physics Vol. 5, 3rd Ed. (1980).<\/p>\n<p>[2] X-G. Wen, <em>Quantum Field Theory of Many-Body Systems<\/em> (2004).<\/p>\n<p>[3] R. M. Nandkishore, and M. Hermele, <em>Fractons<\/em>, arXiv: 1803.1119<\/p>\n<p>[4] M. Pretko, Phys. Rev. B <strong>95<\/strong>, 115139 (2017).<\/p>\n<p>&nbsp;<\/p>\n<p>\u8a3b\u89e3<a href=\"#_ftnref1\" name=\"_ftn1\"><sup>[1]<\/sup><\/a> \u7b46\u8005\u4e0d\u662f\u6545\u610f\u4e0d\u5beb\u4e2d\u6587\uff0c\u56e0\u70ba\u9019\u500b\u540d\u8a5e\u65b0\u5230\u9084\u6c92\u6709\uff08\u5ee3\u70ba\u63a5\u53d7\u7684\uff09\u5207\u78ba\u4e2d\u6587\u7ffb\u8b6f\u3002<\/p>\n<p><strong>--<br \/>\n\u4f5c\u8005\uff1a\u856d\u7dad\u7ff0\uff0c\u81fa\u5927\u7269\u7406\u7cfb\u7562\u696d\u5f8c\u9003\u5230\u829d\u52a0\u54e5\uff0c\u5439\u98a8\u5439\u96ea\u4e4b\u9918\uff0c\u505a\u7814\u7a76\u8b80\u535a\u58eb\u73ed\u3002\u53ef\u60dc\u96e2\u958b\u81fa\u7063\u5f8c\u7121\u6d77\u53ef\u770b\uff0c\u53ea\u80fd\u5728\u5bc6\u897f\u6839\u6e56\u65c1\u63c0\u4e00\u65b9\u5824\u5cb8\uff0c\u507d\u88dd\u6210\u770b\u6d77\u7684\u4eba\u3002\u79d1\u6559\u4e2d\u5fc3\u7279\u7d04\u5beb\u624b\uff0c\u5f9e\u4e8b\u79d1\u666e\u6587\u7ae0\u5beb\u4f5c\u3002<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/line.me\/R\/ti\/p\/%40fcx6182w\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/scdn.line-apps.com\/n\/line_add_friends\/btn\/zh-Hant.png\" alt=\"\u52a0\u5165\u597d\u53cb\" width=\"212\" height=\"36\" border=\"0\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u25a0\u7269\u7406\u5b78\u5bb6\u81f4\u529b\u65bc\u63a2\u7d22\u7269\u8cea\u7684\u76f8\u7684\u7d42\u6975\u53ef\u80fd\u6027\u3002\u800c\u8fd1\u5e74\u4f86\u7684\u300cfracton\u300d\u662f\u4e00\u985e\u5d84\u65b0\uff0c\u9084\u4e0d\u78ba\u5b9a\u5982\u4f55\u5206\u985e\u7684\u76f8\u3002<\/p>\n","protected":false},"author":20,"featured_media":31186,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3293,39],"tags":[3921,3922,2909,3883,3880],"aioseo_notices":[],"jetpack_featured_media_url":"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/06\/00-2.jpg","_links":{"self":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/31353"}],"collection":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/users\/20"}],"replies":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=31353"}],"version-history":[{"count":4,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/31353\/revisions"}],"predecessor-version":[{"id":32030,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/31353\/revisions\/32030"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/media\/31186"}],"wp:attachment":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=31353"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=31353"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=31353"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}