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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >The sojourn time of the inverted isotropic harmonic oscillators in a tilted magnetic field
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The sojourn time of the inverted isotropic harmonic oscillators in a tilted magnetic field

机译：倾斜磁场中倒置各向同性谐波振荡器的悬臂时间

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摘要

By employing the Feynman path integral approach, we investigate the sojourn time of a two-dimensional (2D) and a three-dimensional (3D) inverted isotropic harmonic oscillator under a tilted magnetic field. It is shown that the sojourn time in the 2D case behaves quite differently from the 3D case. In the 3D case, the sojourn time is a monotonically increasing function of the strength of the magnetic field, and its value approaches a finite value as the strength of the magnetic field approaches infinity. In the 2D case, the behavior of the sojourn time as a function of the strength and the angle theta of inclination of the magnetic field is much complicated. When the angle of inclination theta > pi/4, the system is unstable and the sojourn time is always finite. However, when 0 <= theta < pi/4, the system possesses a stable region with infinite large sojourn time as the strength of the magnetic field varies. The reason behind is explained via stability region analysis.
机译：通过采用Feynman路径积分方法，我们研究了倾斜磁场下的二维（2D）和三维（3D）倒各向同性谐波振荡器的静音时间。 结果表明，2D案例中的苏尿时间与3D情况相比不同。 在3D情况下，苏氏时间是磁场强度的单调增加的函数，并且其值接近有限的值，因为磁场的强度接近无穷大。 在2D情况下，作为磁场倾斜的强度和角度θ的函数的悬臂时间的行为是多少。 当倾斜角度θpi/ 4时，系统不稳定，静音时间总是有限的。 然而，当0 <= THEA

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