Analysis of the Jun Ishiwara's "The universal meaning of the quantum of action"

TL;DR

This paper analyzes Jun Ishiwara's 1915 work on the universal meaning of the quantum of action, highlighting its early contribution to phase-space-integral quantization within the old-quantum-theory, making it accessible to students.

Contribution

It provides a detailed analysis of Ishiwara's pioneering proposal of phase-space-integral quantization, emphasizing its historical and conceptual significance.

Findings

Ishiwara's work predates and parallels Sommerfeld and Bohr's quantization rules.

The paper clarifies the foundational role of Ishiwara's ideas in quantum theory development.

It makes the original 1915 paper accessible and understandable to modern students.

Abstract

Here we present an analysis of the paper "Universelle Bedeutung des Wirkungsquantums" (The universal meaning of the quantum of action), published by Jun Ishiwara in German in the "Proceedings of Tokyo Mathematico-Physical Society 8 (1915) 106-116". In his work, Ishiwara, established in the Sendai University, Japan, proposed - simultaneously with Arnold Sommerfeld, William Wilson and Niels Bohr in Europe - the phase-space-integral quantization, a rule that would be incorporated into the old-quantum-theory formalism. The discussions and analysis render this paper fully accessible to undergraduate students of physics with elementary knowledge of quantum mechanics.