{"author_url":"https://blog.hatena.ne.jp/derwind/","author_name":"derwind","published":"2015-11-29 17:11:16","url":"https://randommemory.hatenablog.com/entry/2015/11/29/171116","type":"rich","description":"\u91cf\u5b50\u529b\u5b66\u306e\u6570\u5b66\u7684\u57fa\u790e\u306b\u3088\u308b\u3068\u3001\u7269\u7406\u91cf\u306fHilbert\u7a7a\u9593$\\mathscr{H}$\u306e\u81ea\u5df1\u5171\u5f79\u4f5c\u7528\u7d20$H$\u3067\u8868\u73fe\u3055\u308c\u308b\u3002 $H$\u3068\u3057\u3066Hamiltonian\u3092\u8003\u3048\u308b\u3002 $\\mathbb{R} \\ni t \\mapsto u(t) \\in \\mathscr{H}$\u3068\u3057\u3066 \\begin{equation} i \\frac{\\partial}{\\partial t} u(t) = H u(t) \\end{equation}\u3068\u3044\u3046\u5f62\u306b\u3002$u(0) = u_0 \\in \\mathscr{H}$\u3068\u3057\u3066\u3001\u89e3\u306f$u(t) = \\exp(- i t H) u_0$\u3067\u4e0e\u3048\u3089\u308c\u308b\u3002(\u89e3\u306e\u5b58\u5728) \u3053\u3053\u3067\u3001\u4ed6\u306e\u89e3$v(t\u2026","image_url":null,"blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","height":"190","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2015%2F11%2F29%2F171116\" title=\"Schr\u00f6dinger\u65b9\u7a0b\u5f0f(3) - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","categories":["math-pde"],"blog_url":"https://randommemory.hatenablog.com/","version":"1.0","title":"Schr\u00f6dinger\u65b9\u7a0b\u5f0f(3)","provider_name":"Hatena Blog","width":"100%","provider_url":"https://hatena.blog"}