De Gosson Maurice A
Faculty of Mathematics (NuHAG), University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria.
Entropy (Basel). 2018 Nov 10;20(11):869. doi: 10.3390/e20110869.
We have shown in previous work that the equivalence of the Heisenberg and Schrödinger pictures of quantum mechanics requires the use of the Born and Jordan quantization rules. In the present work we give further evidence that the Born-Jordan rule is the correct quantization scheme for quantum mechanics. For this purpose we use correct short-time approximations to the action functional, initially due to Makri and Miller, and show that these lead to the desired quantization of the classical Hamiltonian.
我们在之前的工作中已经表明，量子力学的海森堡绘景和薛定谔绘景的等价性需要使用玻恩和约旦量子化规则。在本工作中，我们给出了进一步的证据，表明玻恩 - 约旦规则是量子力学正确的量子化方案。为此，我们使用最初由马克里和米勒提出的对作用量泛函的正确短时近似，并表明这些近似导致了经典哈密顿量的期望量子化。
