The Angular Momentum Dilemma and Born–Jordan Quantization

详细信息    查看全文

• 作者：Maurice A. de Gosson
• 关键词：Weyl quantization ; Born–Jordan quantization ; Angular momentum
• 刊名：Foundations of Physics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：47
• 期：1
• 页码：61-70
• 全文大小：387KB
• 刊物类别：Physics and Astronomy
• 刊物主题：History and Philosophical Foundations of Physics; Quantum Physics; Classical and Quantum Gravitation, Relativity Theory; Statistical Physics and Dynamical Systems; Classical Mechanics; Philosophy of S
• 出版者：Springer US
• ISSN：1572-9516
• 卷排序：47

文摘

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.