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        "quote": "\n\n> [!definition] 定义（位置空间传播子）\n> 位置空间传播子是作用于位置空间波函数的时间演化算符的核 ${ \\cal U } ( t , q _ { t } , q _ { 0 } )$。它给出波函数在任意时刻 $t$ 的演化：\n>\n> <span id=\"equation-12-4\" class=\"block-anchor\"></span>\n>\n> $$\n> \\psi (q _ {t}, t) = \\int_ {- \\infty} ^ {+ \\infty} U (t, q _ {t}, q _ {0}) \\psi (q _ {0}, 0) d q _ {0}\\tag{12.4}\n> $$\n>\n> 其中 $\\psi ( q _ { 0 } , 0 )$ 是波函数在时刻 $0$ 的初始值。\n",
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        "quote": "\n\n> [!definition] Definition (Position space propagator)\n> The position space propagator is the kernel ${ \\cal U } ( t , q _ { t } , q _ { 0 } )$ of the time evolution operator acting on position space wavefunctions. It determines the time evolution of the wavefunction at every time $t$:\n>\n> <span id=\"equation-12-4\" class=\"block-anchor\"></span>\n>\n> $$\n> \\psi (q _ {t}, t) = \\int_ {- \\infty} ^ {+ \\infty} U (t, q _ {t}, q _ {0}) \\psi (q _ {0}, 0) d q _ {0}\\tag{12.4}\n> $$\n>\n> where $\\psi ( q _ { 0 } , 0 )$ is the initial value of the wavefunction at time $0$ .\n",
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