Traditionally, “the operator calculus of Born and Wiener” has been considered one of the four formulations of quantum mechanics that existed in 1926. The present paper reviews the operator calculus as applied by Max Born and Norbert Wiener during the last months of 1925 and the early months of 1926 and its connections with the rise of the new quantum theory. Despite the relevance of this operator calculus, Born–Wiener’s joint contribution to the topic is generally bypassed in historical accounts of quantum mechanics. In this study, we analyse the paper that epitomises the contribution, and we explain the main reasons for the apparent lack of interest in Born and Wiener’s work. We argue that they did not solve the main problem for which the tool was intended, that of linear motion, because of their reluctance to use Dirac delta functions.

中文翻译：

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算子演算：丢失的量子力学公式

传统上，“Born 和 Wiener 的算子演算”被认为是 1926 年存在的四种量子力学公式之一。 本文回顾了 Max Born 和 Norbert Wiener 在 1925 年最后几个月应用的算子演算以及1926 年初的几个月及其与新量子理论兴起的联系。尽管此算子演算具有相关性，但在量子力学的历史描述中，Born-Wiener 对该主题的共同贡献通常被忽略。在这项研究中，我们分析了体现贡献的论文，并解释了对 Born 和 Wiener 的工作明显缺乏兴趣的主要原因。我们认为他们没有解决该工具旨在解决的主要问题，即线性运动，因为他们不愿意使用狄拉克 delta 函数。