理解量子力学与经典物理之间的联系是物理学的重要课题．玻尔的氢原子理论，特别是其定态量子化思想和对应原理，为研究这种联系提供了基础．本文基于玻尔的思想，将其应用于一维无限深方势阱模型．通过比较经典统计物理与量子理论对势阱中粒子位置与动量统计分布及不确定性的描述，重点考察了不求解薛定谔方程而利用量子化驻波条件和经典统计分布推导不确定性关系的半经典方法．通过对比分析这种方法导出的结果与严格量子力学精确解在大量子数极限下的表现，验证了玻尔对应原理在该模型中的有效性，从而加深了对量子统计行为向经典行为过渡机制的理解．

Understanding the connection between quantum mechanics and classical physics is a crucial topic in physics. Bohr's hydrogen atom theory, particularly his concepts of stationary state quantization and the correspondence principle, provides a foundation for studying this connection. This paper applies Bohr's ideas to the onedimensional infinite square well model. By comparing the descriptions of the statistical distributions and uncertainties of particle position and momentum within the well given by classical statistical physics and quantum theory, we specifically examine a semiclassical approach. This approach derives the uncertainty relation using the quantized standing wave condition and classical statistical distribution, without solving the Schrdinger equation. Through a comparative analysis of the results derived from this method and the exact quantum mechanical solutions in the limit of large quantum numbers, we verify the validity of Bohr's correspondence principle within this model. Consequently, this work deepens our understanding of the transition mechanism by which quantum statistical behavior evolves into classical behavior．