de Gosson Maurice A
Faculty of Mathematics (NuHAG), University of Vienna, Wien, Austria.
Found Phys. 2017;47(1):61-70. doi: 10.1007/s10701-016-0041-8. Epub 2016 Oct 7.
The rigorous equivalence of the Schrödinger and Heisenberg pictures requires that one uses Born-Jordan quantization in place of Weyl quantization. We confirm this by showing that the much discussed " angular momentum dilemma" disappears if one uses Born-Jordan quantization. We argue that the latter is the only physically correct quantization procedure. We also briefly discuss a possible redefinition of phase space quantum mechanics, where the usual Wigner distribution has to be replaced with a new quasi-distribution associated with Born-Jordan quantization, and which has proven to be successful in time-frequency analysis.
薛定谔绘景和海森堡绘景的严格等价性要求使用玻恩 - 约旦量子化来取代外尔量子化。我们通过表明如果使用玻恩 - 约旦量子化，备受讨论的“角动量困境”就会消失来证实这一点。我们认为后者是唯一物理上正确的量子化过程。我们还简要讨论了相空间量子力学的一种可能的重新定义，其中通常的维格纳分布必须被与玻恩 - 约旦量子化相关联的新准分布所取代，并且这种新准分布在时频分析中已被证明是成功的。
