Pascual Jordan's resolution of the conundrum of the wave-particle duality of light

  title={Pascual Jordan's resolution of the conundrum of the wave-particle duality of light},
  author={Anthony Duncan and Michel Janssen},
  journal={Studies in History and Philosophy of Modern Physics},
  • A. Duncan, M. Janssen
  • Published 24 September 2007
  • Physics
  • Studies in History and Philosophy of Modern Physics
Abstract In 1909, Einstein derived a formula for the mean square energy fluctuation in black-body radiation. This formula is the sum of a wave term and a particle term. In a key contribution to the 1926 Dreimannerarbeit with Born and Heisenberg, Jordan showed that one recovers both terms in a simple model of quantized waves. So the two terms do not require separate mechanisms but arise from a unified dynamical framework. In this paper, we give a detailed reconstruction of Jordan's derivation of… Expand
The Einstein-Jordan conundrum and its relation to ongoing foundational research in local quantum physics
We demonstrate the extraordinary modernity of the 1924/25 “Einstein-Jordan fluctuation conundrum”, a Gedankenexperiment which led Jordan to his quantization of waves published as a separate sectionExpand
Pascual Jordan’s legacy and the ongoing research in quantum field theory⋆
AbstractPascual Jordan’s path-breaking role as the protagonist of quantum field theory (QFT) is recalled and his friendly dispute with Dirac’s particle-based relativistic quantum theory is presentedExpand
The holistic structure of causal quantum theory, its implementation in the Einstein-Jordan conundrum and its violation in more recent particle theories
Recent insights into the conceptual structure of localization in QFT (”modular localization”) led to clarifications of old unsolved problems. The oldest one is the Einstein-Jordan conundrum which ledExpand
Modular localization and the holistic structure of causal quantum theory, a historical Abstract Recent insights into the conceptual structure of localization in QFT ("modular localization") led to clarications of old unsolved problems.TheExpand
The foundational origin of integrability in quantum field theory
The main aim of this work is to relate integrability in QFT with a complete particle interpretation directly to the principle of causal localization, circumventing the standard method of findingExpand
The ongoing impact of modular localization on particle theory
Modular localization is the concise conceptual formulation of causal localization in the setting of local quantum physics. Unlike QM it does not refer to individual operators but rather to ensemblesExpand
Jordan's Derivation of Blackbody Fluctuations
The celebrated Dreimannerarbeit by Born, Heisenberg and Jordan contains a matrix-mechanical derivation by Jordan of Planck’s formula for blackbody fluctuations. Jordan appears to have considered thisExpand
Einstein’s quantum theory of the monatomic ideal gas: non-statistical arguments for a new statistics
In this article, we analyze the third of three papers, in which Einstein presented his quantum theory of the ideal gas of 1924–1925. Although it failed to attract the attention of Einstein’sExpand
From canonical transformations to transformation theory, 1926–1927: The road to Jordan's Neue Begründung
Abstract We sketch the development from matrix mechanics as formulated in the Dreimannerarbeit of Born, Heisenberg, and Jordan, completed in late 1925, to transformation theory developedExpand
Modular localization and the holistic structure of causal quantum theory, a historical perspective
The new holistic point of view, which strengthens the autonomous aspect of QFT, also comes with new messages for gauge theory by exposing the clash between Hilbert space structure and localization and presenting alternative solutions based on the use of stringlocal fields in Hilbert space. Expand


Field quantization and wave particle duality
Abstract We owe to Pascual Jordan the first formulation of a theory of quantized fields, in the framework of Heisenberg’s matrix mechanics. For Jordan it is quantization which creates particles, bothExpand
On the verge of Umdeutung in Minnesota: Van Vleck and the correspondence principle. Part two
This is the second installment of a two-part paper on developments in quantum dispersion theory leading up to Heisenberg’s Umdeutung paper. In telling this story, we have taken a 1924 paper by JohnExpand
Heisenberg and the wave–particle duality
Abstract This paper examines the development and meaning of Heisenberg's notion of wave–particle equivalence and the way in which it differs from Bohr's more widely known notion of wave–particleExpand
Quantum Theory of Fields (until 1947)
The basic idea of field quantization is some 60 years old. A particularly clear anticipation of later trends is found in a paper by Ehrenfest (1906). Commenting on Planck’s theory of the HohlraumExpand
The turning point for Einstein's Annus mirabilis
The year 1905 has been called Einstein's annus mirabilis in virtue of three ground-breaking works completed over the span of a few months --- the light quantum paper (Einstein, 1905a), the BrownianExpand
QED and the Men Who Made It: Dyson, Feynman, Schwinger and Tomonaga
In the 1930s, physics was in crisis. There appeared to be no way to reconcile the new theory of quantum mechanics with Einstein's theory of relativity. Several approaches had been tried and hadExpand
Einstein and the quantum theory
This is an account of Einstein's work and thoughts on the quantum theory. The following topics will be discussed: The light-quantum hypothesis and its gradual evolution into the photon concept. EarlyExpand
Changing Conceptualization of Renormalization Theory
Quantum field theory (QFT) was developed during the late 1920s to describe the interaction of charged particles with the electromagnetic field. During the 1930s the formalism was extended by Fermi toExpand
The interpretation of the Einstein-Rupp experiments and their influence on the history of quantum mechanics
The Einstein-Rupp experiments were proposed in 1926 to study the wave versus particle nature of light. Einstein presented a theoretical analysis of these experiments to the Berlin Academy togetherExpand
The Wave–Particle Dualism—A Tribute to Louis de Broglie on His Ninetieth Birthday
De Broglie's initial conception of De Broglie waves.- Wave-particle duality of light: a current perspective.- Wave-particle dualism in matter wave interferometry.- Neutron wave optics studied withExpand