动量的弱方差如何变为负值
How the Weak Variance of Momentum Can Turn Out to be Negative
摘要：
弱值是平均量，因此研究它们的相关方差对于理解它们在量子力学中的位置至关重要。我们发展的概念的位置后选择弱方差的动量尽可能凝聚，主要是建立在材料从Moyal（数学的剑桥哲学社会，剑桥大学出版社，剑桥，1949年）和Sonego（发现物理21（10）：1135，1991年）。弱方差是根据维格纳函数定义的，使用来自概率论的标准构造。我们证明这对应于一个可测量，它本身不是一个弱值。它也自然地导致了弱动量值的虚部和量子势之间的联系。我们研究如何负的维格纳函数的负性导致负弱方差，这对一类的“亚量子”理论的影响。我们还讨论了弱方差在研究决定论中的作用，从变分原理推导出经典极限。
英文摘要：
Weak values are average quantities,therefore investigating their associated variance is crucial in understanding their place in quantum mechanics. We develop the concept of a position-postselected weak variance of momentum as cohesively as possible, building primarily on material from Moyal (Mathematical Proceedings of the Cambridge Philosophical Society, Cambridge University Press, Cambridge, 1949) and Sonego (Found Phys 21(10):1135, 1991) . The weak variance is defined in terms of the Wigner function, using a standard construction from probability theory. We show this corresponds to a measurable quantity, which is not itself a weak value. It also leads naturally to a connection between the imaginary part of the weak value of momentum and the quantum potential. We study how the negativity of the Wigner function causes negative weak variances, and the implications this has on a class of `subquantum' theories. We also discuss the role of weak variances in studying determinism, deriving the classical limit from a variational principle.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
