{"id":426,"date":"2022-12-17T17:37:07","date_gmt":"2022-12-17T09:37:07","guid":{"rendered":"https:\/\/diary.bid\/?p=426"},"modified":"2022-12-17T17:37:58","modified_gmt":"2022-12-17T09:37:58","slug":"%e6%b5%85%e8%af%95%e4%b8%80%e4%b8%8bchatgpt","status":"publish","type":"post","link":"https:\/\/diary.bid\/?p=426","title":{"rendered":"\u6d45\u8bd5\u4e00\u4e0bChatGPT"},"content":{"rendered":"\r\n

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\u8f93\u51fa\uff1a<\/p>\r\n\r\n\r\n\r\n\u666e\u6717\u514b\u5e38\u91cf\u4e3a $6.64\\times10^{-34}J\\cdot s$\uff0c\u7535\u5b50\u7684\u8d28\u91cf\u4e3a $9.11\\times10^{-31}kg$\u3002\r\n\r\n\r\n\r\n

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\u6839\u636e\u5fb7\u5e03\u7f57\u610f\u6ce2\u957f\u516c\u5f0f\uff1a<\/p>\r\n\r\n\r\n\r\n$$\\lambda=\\frac{h}{m_ev}$$\r\n\r\n\r\n\r\n\u5c06\u4e0a\u5f0f\u4e2d\u7684 $v$ \u4ee3\u5165\uff0c\u5f97\uff1a\r\n\r\n\r\n\r\n$$\\lambda=\\frac{h}{m_ev}=\\frac{h}{\\sqrt{\\frac{2m_ee^2}{m_g}}}=\\frac{h}{\\sqrt{2e^2}}\\sqrt{\\frac{m_g}{m_e}}$$\r\n\r\n\r\n\r\n\u77e5\u9053 $h=6.64\\times10^{-34}J\\cdot s$\uff0c$e=1.6\\times10^{-19}C$\uff0c$m_e=9.11\\times10^{-31}kg$\uff0c\u6839\u636e\u4e0a\u5f0f\u6c42\u51fa $\\lambda$ \u7ea6\u4e3a $1.6\\times10^{-12}m$\u3002\r\n\r\n\r\n\r\n\u6cb9\u6ef4\u7684\u76f4\u5f84\u7ea6\u4e3a $4\\mu m=4\\times10^{-6}m$\uff0c\u56e0\u6b64 $\\frac{\\lambda}{d}=\\frac{1.6\\times10^{-12}m}{4\\times10^{-6}m}=4\\times10^{-7}$\uff0c\u6570\u91cf\u7ea7\u4e3a $10^{-7}$\u3002\r\n\r\n\r\n\r\n\u6240\u4ee5\uff0c\u7535\u5b50\u4e0e\u6cb9\u6ef4\u7684\u5fb7\u5e03\u7f57\u610f\u6ce2\u957f\u4e4b\u6bd4\u7684\u6570\u91cf\u7ea7\u4e3a $10^{-7}$\u3002\r\n","protected":false},"excerpt":{"rendered":"

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