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

International Journal of Modern Physics B

Relativistic Wave Equation for Anyons

V. P. Nair

Published Jun 1, 1991• 4 citations
Publisher

Abstract

I describe how, starting from fundamental symmetry principles, a relativistic theory of anyons can be formulated.
DOI
10.1142/s0217979291001589

Related papers

Derivation of the Symmetry Postulates for Identical Particles from Pilot-Wave Theories

Guido Bacciagaluppi

The symmetries of the wavefunction for identical particles, including anyons, are given a rigorous non-relativistic derivation within pilot-wave formulations of quantum mechanics. In particular, parastatistics are excluded. The result has a rigorous generalisation to n particles and to spinorial wavefunctions. The relation to other non-relativistic approaches is briefly discussed.

arXiv:quant-ph/0302099•Feb 12, 2003•12 citations

Wave equation for anyons and its exact solutions in external fields

Jing-fa Lu, Sergey Il'ich Kruglov, Xue-qing Zhao

Science in China Series A Mathematics•Oct 1, 1997•0 citations

Relativistic quantum mechanics of anyon

Taejin Lee

Journal of the Korean Physical Society•Jul 26, 1994•0 citations

A conceptually rigorous validation of the discovery of force as a fundamental quantum observable

Raheem Adom

In a recent study (Adom R., Int. J. Quantum Found., 12 (2025) 379), I developed a mathematical formulation of force as an essential quantum observable, connecting its quantum wave equation to the violation of translational symmetries that govern the behavior of open quantum systems in a particularly coherent manner. In this letter, I demonstrate that, following the same methodological principles that underpin the well-established quantum wave equations, the proposed force wave equation constitutes a theoretically sound framework that emerges naturally when energy-momentum exchange, instigated by force, is viewed as the fundamental organizing principle for non-relativistic quantum dynamics. This validates the conceptual and mathematical foundations of the framework.

•Apr 22, 2026•0 citations

RELATIVISTICALLY COVARIANT WAVE EQUATIONS FOR N PARTICLES IN THE QUANTUM FIELD THEORY.

Victor Anatolievich Matveev, R.M. Muradyan, А.Н. Тавхелидзе

•Jan 1, 1968•2 citations

A conceptually rigorous validation of the discovery of force as a fundamental quantum observable

Raheem Adom

Abstract In a recent study ( Adom R. , Int. J. Quantum Found. , 12 (2025) 379), I developed a mathematical formulation of force as an essential quantum observable, connecting its quantum wave equation to the violation of translational symmetries that govern the behavior of open quantum systems in a particularly coherent manner. In this letter, I demonstrate that, following the same methodological principles that underpin the well-established quantum wave equations, the proposed force wave equation constitutes a theoretically sound framework that emerges naturally when energy-momentum exchange, instigated by force, is viewed as the fundamental organizing principle for non-relativistic quantum dynamics. This validates the conceptual and mathematical foundations of the framework.

Europhysics Letters (EPL)•Apr 1, 2026•0 citations
In a recent study (Adom R., Int. J. Quantum Found., 12 (2025) 379), I developed a mathematical formulation of force as an essential quantum observable, connecting its quantum wave equation to the violation of translational symmetries that govern the behavior of open quantum systems in a particularly coherent manner. In this letter, I demonstrate that, following the same methodological principles that underpin the well-established quantum wave equations, the proposed force wave equation constitutes a theoretically sound framework that emerges naturally when energy-momentum exchange, instigated by force, is viewed as the fundamental organizing principle for non-relativistic quantum dynamics. This validates the conceptual and mathematical foundations of the framework.
Abstract In a recent study ( Adom R. , Int. J. Quantum Found. , 12 (2025) 379), I developed a mathematical formulation of force as an essential quantum observable, connecting its quantum wave equation to the violation of translational symmetries that govern the behavior of open quantum systems in a particularly coherent manner. In this letter, I demonstrate that, following the same methodological principles that underpin the well-established quantum wave equations, the proposed force wave equation constitutes a theoretically sound framework that emerges naturally when energy-momentum exchange, instigated by force, is viewed as the fundamental organizing principle for non-relativistic quantum dynamics. This validates the conceptual and mathematical foundations of the framework.