论文标题
古典和量子分散关系
Classical and Quantum Dispersion Relations
论文作者
论文摘要
结果表明，由于BOHM电位的存在，通常，经典，经典和量子分散关系有所不同。量子（波）理论的确切解决方案遵守经典的分散关系，但在一般情况下它们有所不同。当做出其他假设（例如WKB或Eikonal近似）时，分散关系也可能重合。该一般结果也适用于从经典对应物（例如Ray和Wave Optics中）得出的非量子波方程。给出了平面和弯曲的空间中的协变量标量，矢量和张力场的明确示例。
It is showed that, in general, classical and quantum dispersion relations are different due to the presence of the Bohm potential. There are exact particular solutions of the quantum (wave) theory which obey the classical dispersion relation, but they differ in the general case. The dispersion relations may also coincide when additional assumptions are made, such as WKB or eikonal approximations, for instance. This general result also holds for non--quantum wave equations derived from classical counterparts, such as in ray and wave optics, for instance. Explicit examples are given for covariant scalar, vectorial and tensorial fields in flat and curved spacetimes.
