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Flow equations for band-matrices

机译:带矩阵的流动方程

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摘要

Continuous unitary transformations can be used to diagonalize or approximately diagonalize a given Hamiltonian. In the last four years, this method has been applied to a variety of models of condensed matter physics and field theory. With a new generator for the continuous unitary transformation proposed in this paper one can avoid some of the problems of former applications. General properties of the new generator are derived. It turns out that the new generator is especially useful for Hamiltonians with a banded structure. Two examples, the Lipkin model, and the spin-boson model are discussed in detail.
机译:连续unit变换可以用于对角化或近似对角化给定的哈密顿量。在过去的四年中,此方法已应用于凝聚态物理和场论的各种模型。使用本文提出的用于连续unit变换的新发生器,可以避免以前应用中的一些问题。推导了新发电机的一般属性。事实证明,新发电机对于带状结构的哈密顿量特别有用。详细讨论了两个例子,Lipkin模型和自旋玻色子模型。

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