CAJ | 학술논문

Sinai量子台球能够模拟出混沌性质且数值运算相对简单，成为研究微观体系动力学的理想模型。本文以Sinai开放台球作为理论模型，研究了粒子的逃逸，并对逃逸中的碰撞次数进行了数值计算，得到的结果显示了初始条件对逃逸的重要性。采用简化的盒计数（box-counting）算法分别计算了不同门电压和不同开口宽度对应的分形维数，分析了Sinai台球中的门电压和开口宽度对体系混沌性质的影响。
Sinai양자태구능구모의출혼돈성질차수치운산상대간단，성위연구미관체계동역학적이상모형。본문이Sinai개방태구작위이론모형，연구료입자적도일，병대도일중적팽당차수진행료수치계산，득도적결과현시료초시조건대도일적중요성。채용간화적합계수（box-counting）산법분별계산료불동문전압화불동개구관도대응적분형유수，분석료Sinai태구중적문전압화개구관도대체계혼돈성질적영향。
Sinai quantum billiard is an ideal model to investigate dynamic properties of a microscopic system because it can be used to simulate chaotic properties and the numerical computation is relatively simple. This paper addresses the escape of particles and numerically calculates the collision numbers in escape process with Sinai quantum billiards as a theoretical model Results indicate the significance of initial conditions for escape. We employ a simplified box-counting approach to calculate the fractal dimensions that are corresponding to different gate voltages and different aperture widths. We also analyze the influences.of gate voltage and aperture width in Sinai quantum billiards on chaotic behaviors.