The density matrix renormalization group applied to single-particle quantum mechanics
The density matrix renormalization group applied to single-particle quantum mechanics
复制标题
应用于单粒子量子力学的密度矩阵重正化群
DOI：
10.1088/0305-4470/32/33/306
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
Reinhard M. Noack
中科院分区：
文献类型：
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作者：
M. Martin;Germán Sierra;Reinhard M. Noack
本文用简化的白色密度矩阵重整化群（DMRG）算法计算了紧束缚晶格上自由粒子的基态。我们将此算法推广到处理任意势场中的紧束缚粒子并寻找激发态。因此，我们解决了单粒子薛定谔方程的离散化版本，然后我们可以采取连续极限。这使我们能够得到非常准确的结果的最低能级的量子谐振子，非谐振子和双阱势。我们比较DMRG的结果，从而获得与其他方法所取得的。
A simplified version of White's density matrix renormalization group (DMRG) algorithm has been used to find the ground state of the free particle on a tight-binding lattice. We generalize this algorithm to treat the tight-binding particle in an arbitrary potential and to find excited states. We thereby solve a discretized version of the single-particle Schrodinger equation, which we can then take to the continuum limit. This allows us to obtain very accurate results for the lowest energy levels of the quantum harmonic oscillator, anharmonic oscillator and double-well potential. We compare the DMRG results thus obtained with those achieved by other methods.