弯曲时空中的量子力学
Quantum mechanics in curved space-time
摘要：
本文利用广义相对论的基本原理，建立了自旋为0和自旋为1/2的粒子的量子波动方程。更具体地说，方程是在一个Schwarzschild类度量。作为测试，计算了氢原子光谱。计算的氘能级谱与数值计算结果的比较表明，两者的一致性有了明显的改善，其偏差比Dirac理论的偏差小近5倍。讨论了考虑强相互作用的理论的意义。
英文摘要：
In this paper, the principles of the general relativity are used to formulate quantum wave equations for spin-0 and spin-1/2 particles. More specifically, the equations are worked in a Schwarzschild-like metric. As a test, the hydrogen atom spectrum is calculated. A comparison of the calculated spectrum with the numerical data of the deuterium energy levels shows a significant improvement of the accord, and the deviations are almost five times smaller then the ones obtained with the Dirac theory. The implications of the theory considering the strong interactions are also discussed.
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