Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Jun Ishiwara's Status in the History of Early Quantum Theory : Pioneering Works Similar to Bose Statistics, de Broglie Phase-Wave, and Einstein's Quantum Condition

Seiya Abiko

Published Sep 24, 2010• 0 citations
OpenAlex

Related papers

The complex interplay between the ontological status of the wave-function and the motion of the particles in the De Broglie-Bohm Theory

Vera Matarese

•Jan 1, 2016•0 citations

De Broglie’s Matter Waves and Einstein’s Quantum Theory of the Ideal Gas

Anthony Duncan A, Michel Janssen B

Abstract This chapter covers De Broglie’s extension to matter of wave–particle duality, which Einstein had introduced for radiation. It fills in the background in the tradition of extremal principles in classical physics that De Broglie drew on to formulate his theory. It then covers Bose’s introduction of a new statistics for light quanta and Einstein’s application of those statistics to matter in his quantum theory of the ideal gas. Providing support for De Broglie’s ideas, Einstein derived a formula for energy fluctuations in such a gas that has the exact same form as the formula for energy fluctuations in black-body radiations: it is the sum of two terms, one suggesting waves, the other one suggesting particles.

•Aug 17, 2023•0 citations

Satyendra Nath Bose, Bose-Einstein Statistics, and the Quantum Theory of an Ideal Gas

WORLD SCIENTIFIC eBooks•Feb 1, 2001•0 citations

The Schrödinger-Einstein correspondence and the sources of wave mechanics

Paul A. Hanle

Unpublished letters of late 1925 between Einstein and Schrödinger and the doctoral thesis of de Broglie reveal sources of Schrödinger’s inspiration to invent wave mechanics. Schrödinger saw a congenial similarity of de Broglie’s work on the stability of the atom with his own earlier speculation in relativity, which he noted to Einstein. But the last chapter of de Broglie’s thesis, on quantum statistics of gases, which is unfamiliar to many modern readers, provided Schrödinger with the method of treatment of a gas of material particles considered as a system of modes of vibration, of ’’matter waves.’’ This method especially, and other successes of de Broglie’s ’’ingenious thesis,’’ convinced Schrödinger to take seriously the first part, on the conditions of stability of the atom in a wave picture. Thus he sought and found an equation to describe the states of the electron from the matter-wave viewpoint.

American Journal of Physics•Jul 1, 1979•11 citations

PART FOUR Einstein s Early Work on the Quantum Hypothesis

Albert Einstein

Princeton University Press eBooks•Dec 31, 1998•0 citations

De Broglie's pilot-wave theory

Guido Bacciagaluppi, Antony Valentini

Background At a time when no single known fact supported this theory, Louis de Broglie asserted that a stream of electrons which passed through a very small hole in an opaque screen must exhibit the same phenomena as a light ray under the same conditions. (Prof. C. W. Oseen, Chairman of the Nobel Committee for Physics, presentation speech, 12 December 1929 (Oseen 1999)) In September 1923, Prince Louis de Brogliea made one of the most astonishing predictions in the history of theoretical physics: that material bodies would exhibit the wave-like phenomena of diffraction and interference upon passing through sufficiently narrow slits. Like Einstein's prediction of the deflection of light by the sun, which was based on a reinterpretation of gravitational force in terms of geometry, de Broglie's prediction of the deflection of electron paths by narrow slits was made on the basis of a fundamental reappraisal of the nature of forces and of dynamics. De Broglie had proposed that Newton's first law of motion be abandoned, and replaced by a new postulate, according to which a freely moving body follows a trajectory that is orthogonal to the surfaces of equal phase of an associated guiding wave. The resulting ‘de Broglian dynamics’ – or pilot-wave theory as de Broglie later called it – was a new approach to the theory of motion, as radical as Einstein's interpretation of the trajectories of falling bodies as geodesics of a curved spacetime, and as far-reaching in its implications. In 1929 de Broglie received the Nobel Prize ‘for his discovery of the wave nature of electrons’.

Cambridge University Press eBooks•Oct 22, 2009•0 citations
Abstract This chapter covers De Broglie’s extension to matter of wave–particle duality, which Einstein had introduced for radiation. It fills in the background in the tradition of extremal principles in classical physics that De Broglie drew on to formulate his theory. It then covers Bose’s introduction of a new statistics for light quanta and Einstein’s application of those statistics to matter in his quantum theory of the ideal gas. Providing support for De Broglie’s ideas, Einstein derived a formula for energy fluctuations in such a gas that has the exact same form as the formula for energy fluctuations in black-body radiations: it is the sum of two terms, one suggesting waves, the other one suggesting particles.
Unpublished letters of late 1925 between Einstein and Schrödinger and the doctoral thesis of de Broglie reveal sources of Schrödinger’s inspiration to invent wave mechanics. Schrödinger saw a congenial similarity of de Broglie’s work on the stability of the atom with his own earlier speculation in relativity, which he noted to Einstein. But the last chapter of de Broglie’s thesis, on quantum statistics of gases, which is unfamiliar to many modern readers, provided Schrödinger with the method of treatment of a gas of material particles considered as a system of modes of vibration, of ’’matter waves.’’ This method especially, and other successes of de Broglie’s ’’ingenious thesis,’’ convinced Schrödinger to take seriously the first part, on the conditions of stability of the atom in a wave picture. Thus he sought and found an equation to describe the states of the electron from the matter-wave viewpoint.
Background At a time when no single known fact supported this theory, Louis de Broglie asserted that a stream of electrons which passed through a very small hole in an opaque screen must exhibit the same phenomena as a light ray under the same conditions. (Prof. C. W. Oseen, Chairman of the Nobel Committee for Physics, presentation speech, 12 December 1929 (Oseen 1999)) In September 1923, Prince Louis de Brogliea made one of the most astonishing predictions in the history of theoretical physics: that material bodies would exhibit the wave-like phenomena of diffraction and interference upon passing through sufficiently narrow slits. Like Einstein's prediction of the deflection of light by the sun, which was based on a reinterpretation of gravitational force in terms of geometry, de Broglie's prediction of the deflection of electron paths by narrow slits was made on the basis of a fundamental reappraisal of the nature of forces and of dynamics. De Broglie had proposed that Newton's first law of motion be abandoned, and replaced by a new postulate, according to which a freely moving body follows a trajectory that is orthogonal to the surfaces of equal phase of an associated guiding wave. The resulting ‘de Broglian dynamics’ – or pilot-wave theory as de Broglie later called it – was a new approach to the theory of motion, as radical as Einstein's interpretation of the trajectories of falling bodies as geodesics of a curved spacetime, and as far-reaching in its implications. In 1929 de Broglie received the Nobel Prize ‘for his discovery of the wave nature of electrons’.