Approximate holomorphic representation for lowest Landau level wave functions in a cylindrically symmetrical electric field

Sergio De Filippo; Carmine Lubritto; Francesco Siano

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Approximate holomorphic representation for lowest Landau level wave functions in a cylindrically symmetrical electric field

机译：圆柱对称电场中最低Landau能级波函数的近似全纯表示

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摘要

The single particle aspects of an approximation scheme for electrons in the presence of a cylindrically symmetrical electric field whose symmetry axis has the same direction as that of a uniform magnetic field are considered. The approximation, previously proposed in the realm of the fractional quantum Hall effect, is tested numerically for a particular electric field interpolating between a bulk vanishing value and an edge harmonic field, and proved to be reliable if two conditions are obeyed.

机译：考虑在对称轴与均匀磁场具有相同方向的圆柱对称电场存在下的电子近似方案的单粒子方面。对于分数电场消失值和边缘谐波场之间插值的特定电场，对分数量子霍尔效应领域中先前提出的近似值进行了数值测试，并且如果满足两个条件，则证明是可靠的。

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《Physica, B. Condensed Matter》 |1999年第2期|共6页
作者
Sergio De Filippo; Carmine Lubritto; Francesco Siano;
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正文语种 eng
中图分类物理学;
关键词
landau levels; cylindrically symmetrical electric field; wave functions;

机译：陆平面;圆柱对称电场;波函数;

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专利

1. Approximate holomorphic representation for lowest Landau level wave functions in a cylindrically symmetrical electric field [J] . Sergio De Filippo, Carmine Lubritto, Francesco Siano Physica, B. Condensed Matter . 1999,第2期

机译：圆柱对称电场中最低Landau能级波函数的近似全纯表示
2. Many-body wave functions for correlated systems in magnetic fields: Monte Carlo simulations in the lowest Landau level [J] . Lydzba P., Jacak J. Journal of Physics. Condensed Matter . 2018,第36期

机译：磁场中相关系统的许多机身波函数：最低Landau水平的蒙特卡罗模拟
3. FIELD REPRESENTATION IN GYROELECTRIC CHIRAL MEDIA BY CYLINDRICAL VECTOR WAVEFUNCTIONS [J] . Cheng DJ. Journal of Physics, D. Applied Physics: A Europhysics Journal . 1995,第2期

机译：圆柱矢量波函数在手性旋流介质中的场表示
4. Pair production to the lowest Landau levels by an electron in a magnetic field [C] . Novak Oleksandr 2013 12th International Conference on Laser and Fiber-Optical Networks Modeling . 2013

机译：通过磁场中的电子将产量降低到最低的朗道水平
5. Lowest Landau level field theory for the fractional quantum Hall effect. [D] . Martinez Fernandez, Juan Manuel. 1994

机译：分数量子霍尔效应的最低Landau能级场论。
6. Topological origin and not purely antisymmetric wave functions of many-body states in the lowest Landau level [O] . P. Łydżba, J. Jacak -1

机译：最低Landau水平上的多体状态的拓扑起源而非纯粹的反对称波函数
7. The action of 1-dimensional holomorphic semigroups for functions on symmetric cones and the Bessel functions (Development of Representation Theory and its Related Fields) [O] . Nakahama Ryosuke 2014

机译：一维全纯半群对函数在对称锥和贝塞尔函数上的作用（表示理论及其相关领域的发展）
8. Anyons in a magnetic field: Landau levels and vertex operator representation. [R] . G. V. Dunne A. Lerda C. A. Trugenberger 1991

机译：磁场中的任何一个：Landau水平和顶点算子表示。

Approximate holomorphic representation for lowest Landau level wave functions in a cylindrically symmetrical electric field

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