论文标题

时间依赖的发电机坐标方法用于多个粒子隧道

Time-Dependent Generator Coordinate Method for Many-Particle Tunneling

论文作者

Hasegawa, N., Hagino, K., Tanimura, Y.

论文摘要

众所周知,时间依赖性的Hartree-fock(TDHF)方法或时间依赖性密度功能理论(TDDFT)未能描述多体量子隧道。我们通过使用时间依赖性发生器坐标方法(TDGCM)超级依赖一些时间依赖的Slater决定因素来克服这个问题。我们将此方法应用于一个维度的两个$α$颗粒的散射,并证明TDGCM方法即使在库仑屏障以下的能量处也会产生有限的隧道概率,在TDHF中,隧道概率在其下完全为零。这是第一种使用微观实时方法模拟许多粒子隧道的情况。

It has been known that the time-dependent Hartree-Fock (TDHF) method, or the time-dependent density functional theory (TDDFT), fails to describe many-body quantum tunneling. We overcome this problem by superposing a few time-dependent Slater determinants with the time-dependent generator coordinate method (TDGCM). We apply this method to scattering of two $α$ particles in one dimension, and demonstrate that the TDGCM method yields a finite tunneling probability even at energies below the Coulomb barrier, at which the tunneling probability is exactly zero in the TDHF. This is the first case in which a many-particle tunneling is simulated with a microscopic real-time approach.

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