标题： 量子引力坍缩的薛定谔绘景 显示英文标题

标题： Schrodinger Picture of Quantum Gravitational Collapse

摘要： 薛定谔函数被用来研究引力坍缩的球状壁障和与度规耦合的无质量纯量场的量子坍缩。 该方法包括了前霍金辐射对引力坍缩的反馈作用。 将自由度限制到最小超空间会导致一个积分微分薛定谔方程。 我们定义了一个“黑洞”算符并找到了它的本征态。 黑洞算符不与哈密顿量对易，导致了能量-黑洞完整性不确定性关系。 我们讨论了能量本征态，并且得到了关于时间相关的引力坍缩问题的部分微分方程。 显示英文摘要

摘要： The functional Schrodinger equation is used to study the quantum collapse of a gravitating, spherical domain wall and a massless scalar field coupled to the metric. The approach includes backreaction of pre-Hawking radiation on the gravitational collapse. Truncating the degrees of freedom to a minisuperspace leads to an integro-differential Schrodinger equation. We define a "black hole" operator and find its eigenstates. The black hole operator does not commute with the Hamiltonian, leading to an energy-black holeness uncertainty relation. We discuss energy eigenstates and also obtain a partial differential equation for the time-dependent gravitational collapse problem.