arXivDaily arXiv每日学术速递 周一至周五更新
arXiv math-ph/0411031math-phmath.MP
收藏

一个悬而未决的问题:在凝聚态物理中,拓扑参数对设置输运问题的初始条件有帮助吗?

An open question: Are topological arguments helpful in setting initial conditions for transport problems in condensed matter physics?

A. W. Beckwith

摘要:

隧穿哈密顿量(英语:Tunneling Hamiltonian)是一种已被证明的方法,用来处理多体物理中以波函数表示的不同状态之间的粒子隧穿。我们的问题是如何将隧穿哈密顿量的波函数公式应用于受驱动的sine-Gordon系统。我们适用于一般化的隧穿哈密顿量的电荷密度波(CDW)的运输问题,在其中,我们认为是标量量子场的波泛函的状态之间的隧穿。我们提出了推导的I-E曲线,匹配Zenier曲线用于拟合实验数据与波泛函全等假真空假设。悬而未决的问题是,在波函数中选取的系数和被驱动的正弦戈登物理系统的系数的大小是否应该由拓扑电荷元来选取,拓扑电荷元原则上似乎分配与西德尼科尔曼首先提出的假真空假设有联系的值

英文摘要:

The tunneling Hamiltonian is a proven method to treat particle tunneling between different states represented as wavefunctions in many-body physics. Our problem is how to apply a wave functional formulation of tunneling Hamiltonians to a driven sine-Gordon system. We apply a generalization of the tunneling Hamiltonian to charge density wave (CDW) transport problems in which we consider tunneling between states that are wavefunctionals of a scalar quantum field. We present derived I-E curves that match Zenier curves used to fit data experimentally with wavefunctionals congruent with the false vacuum hypothesis. THe open question is whether the coefficients picked in both the wavefunctionals and the magnitude of the coefficents of the driven sine Gordon physical system should be picked by topological charge arguements that in principle appear to assign values that have a tie in with the false vacuum hypothesis first presented by Sidney Coleman

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑