经典物理学中的共形对称性与普朗克热辐射
Conformal Symmetry and Planck's Thermal Radiation in Classical Physics
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中文总结 AI 辅助
本文研究经典标量场热辐射，探讨共形对称性中膨胀与加速度的作用，指出Rindler坐标系下零点辐射非热辐射，Unruh形式暗示额外满足斯特藩-玻尔兹曼关系的经典热谱。
中文摘要 AI 辅助
本文针对经典标量场讨论了热辐射问题。在共形对称性中，膨胀和加速度自然出现，因此本文将其与零点辐射和平衡热辐射联系起来。在惯性系中，经典零点辐射在膨胀变换下完全不变。然而，在Rindler坐标系中，零点辐射呈现不同形式，该形式与温度T与加速度相关的普朗克热谱有关。传统上，人们认为零点辐射在Rindler坐标系中呈现热（Unruh）形式。然而，经典观点表明，Rindler坐标系中的零点辐射需要发散频率谱，因此并非热辐射。Unruh形式暗示存在一个额外的经典热谱，该热谱满足斯特藩-玻尔兹曼关系。
英文摘要
Thermal radiation is discussed for a classical scalar field. Dilation and acceleration appear in conformal symmetry, and so are treated in connection with zero-point radiation and equilibrium thermal radiation. Classical zero-point radiation is completely invariant under dilation in a inertial frame. However, in a Rindler frame, zero-point radiation takes a different form which is related to Planck's thermal spectrum with temperature T related to acceleration. Traditionally, zero-point radiation is said to take a thermal (Unruh) form in a Rindler frame. However, the classical viewpoint indicates that zero-point radiation in a Rindler frame requires a divergent frequency spectrum and so is not thermal radiation. The Unruh form suggests an additional classical thermal spectrum satisfying the Stefan-Boltzmann relation.
发表机构
- Department of Physics, City College of the City University of New York（纽约市立大学城市学院物理系）
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