Spectral statistics of a spin-1/2 particle in coupled quartic oscillator potentials

Tomiya M.; Yoshinaga N.

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Spectral statistics of a spin-1/2 particle in coupled quartic oscillator potentials

机译：四次耦合振子势中自旋1/2粒子的光谱统计

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The quantum spectral statistical properties, i.e. the nearest neighbor level spacing distribution (NNSD) and the mode fluctuation distribution of a spin-1/2 particle in three-dimensional coupled quartic oscillator potentials are numerically studied. Introducing the coupling terms, the system can be continuously transformed from an integrable to chaotic one. With use of three parameter sets, three kinds of the Gaussian ensembles can be realized. The Brody-like NNSD interpolation formula between the Poisson distribution and that of each ensemble is found to work well for the numerically obtained NNSD. (C) 2003 Elsevier Science B.V. All rights reserved. [References: 9]

机译：数值研究了三维耦合四次振子势能的量子光谱统计特性，即最近邻能级间距分布（NNSD）和自旋1/2粒子的模式波动分布。引入耦合项后，系统可以从可积到混沌。通过使用三个参数集，可以实现三种高斯合奏。发现在Poisson分布和每个整体的Podyson分布之间的类似Brody的NNSD插值公式对于通过数值获得的NNSD效果很好。（C）2003 Elsevier Science B.V.保留所有权利。 [参考：9]

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《Physica, E. Low-dimensional systems & nanostructures》 |2003年第3期|共2页
作者
Tomiya M.; Yoshinaga N.;
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正文语种 eng
中图分类物理学;
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Quantum chaos; Gaussian ensembles; Nearest neighbor level spacing distribution; Mode fluctuation distribution; Mode fluctuation distribution; Quantum chaos; Repulsion;

机译：量子混沌高斯合奏最近邻能级间距分布模态波动分布模态波动分布量子混沌排斥;

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1. Spectral statistics of a spin-1/2 particle in coupled quartic oscillator potentials [J] . Tomiya M., Yoshinaga N. Physica, E. Low-dimensional systems & nanostructures . 2003,第1a3期

机译：四次耦合振子势中自旋1/2粒子的光谱统计
2. New approach to level statistics of coupled quartic oscillators [J] . Naotaka Yoshinaga, Mitsuyoshi Tomiya Computer physics communications . 2001,第1a3期

机译：耦合四次振荡器的电平统计的新方法
3. Numerical analysis of level statistical properties of two- and three-dimensional coupled quartic oscillators [J] . Mitsuyoshi Tomiya, Naotaka Yoshinaga Computer physics communications . 2001,第1a3期

机译：二维和三维耦合四次振荡器的水平统计特性的数值分析
4. Numerical Approach to Spectral Properties of Coupled Quartic Oscillators [C] . Mitsuyoshi Tomiya, Naotaka Yoshinaga Granada lectures on computational physics . 2001

机译：耦合四静脉振荡器光谱特性的数值方法
5. Using spin resonances to manipulate the polarization of spin-1/2 and spin-1 particle beams. [D] . Morozov, Vasily S. 2007

机译：使用自旋共振来控制自旋1/2和自旋1粒子束的偏振。
6. Effectively doubling the magnetic field in spin-1∕2–spin-1 HSQC HDQC coupled HSQC and coupled HDQC in solution NMR [O] . S. Chandra Shekar, Jonathan M. Backer, Mark E. Girvin -1

机译：在溶液NMR中有效地使自旋1 ∕ 2–spin-1HSQCHDQC耦合的HSQC和耦合的HDQC中的磁场加倍
7. {\kappa} state solutions for the fermionic massive spin-1/2 particles interacting with double ring-shaped Kratzer and oscillator potentials [O] . Oyewumi, K. J, Falaye, B. J., Onate, C. A., 2014

机译：{\ kappa}状态为fermionic大量spin-1/2粒子的解决方案与双环形Kratzer和振荡器电位相互作用
8. FIDEL - an optical model search code with spin-orbit terms for spin-1/2 and spin-1 particles [R] . D. M. Rosalky 1970

机译：FIDEL - 一种光学模型搜索代码，具有spin-1/2和spin-1粒子的自旋轨道项

Spectral statistics of a spin-1/2 particle in coupled quartic oscillator potentials

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