Angular Momentum困境与Born-Jordan量子化
The Angular Momentum Dilemma and Born-Jordan Quantization
摘要:
我们在以前的工作中已经表明,薛定谔和海森堡图像的严格等价性要求使用玻恩-乔丹量子化代替外尔量子化。它也证明了,如果使用玻恩-乔丹量子化,所谓的达尔-斯普林堡角动量困境就消失了。这两个事实有力地表明,后者是唯一真正的量子化过程,这导致了相空间量子力学的重新定义,其中通常的维格纳分布必须用新的分布来代替。
英文摘要:
We have shown in previous work that the rigorous equivalence of the Schrödinger and Heisenberg pictures requires that one uses Born-Jordan quantization in place of Weyl quantization. It also turns out that the so-called Dahl-Springborg angular momentum dilemma disappears if one uses Born--Jordan quantization. These two facts strongly suggest that the latter is the only true quantization procedure, and this leads to a redefinition of phase space quantum mechanics, where the usual Wigner distribution has to be replaced with a new distribution.
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