Note on Uniqueness of Canonical Commutation Relations

Type: Article

Publication Date: 1963-05-01

Citations: 0

DOI: https://doi.org/10.1063/1.1703998

Abstract

It has been pointed out by Wigner that the consistency requirement between the Lagrange and Heisenberg equations of motion does not uniquely determine the canonical commutation relations, at least for one-dimensional systems. It is shown here that this ambiguity does not arise in local field theory whose basic equal-time commutators commute with the translation operator.

Locations

  • Journal of Mathematical Physics - View
  • CaltechAUTHORS (California Institute of Technology) - View - PDF

Similar Works

Action Title Year Authors
+ From the Equations of Motion to the Canonical Commutation Relations 2010 Elisa Ercolessi
G. Marmo
Giuseppe Morandi
+ On the uniqueness of the Heisenberg commutation relations 1972 Marc A. Rieffel
+ Is there a break-down of equal-time canonical commutation rules? 1973 Josip Ĺ oln
+ PDF Chat Canonical anti–commutation relations 2022
+ PDF Chat A Brief Derivation of the Heisenberg Commutation Relations 1970 Reese T. Prosser
+ Particle representations of canonical commutation relations 1972 Kazimierz NapiĂłrkowski
W. Pusz
+ Canonical commutation relations 2024 Charles R. Giardina
+ Canonical commutation relations 2013 Jan Dereziński
Christian GĂ©rard
+ An invitation to the algebra of canonical commutation relations 1990 DĂ©nes Petz
+ A nonstandard approach to representations of the canonical commutation relations 2000 秀康 山下
+ A Uniqueness Theorem for the Heisenberg-Weyl Commutation Relations with Non-Selfadjoint Position Operator 1981 Palle E. T. Jørgensen
+ PDF Chat Wigner's Problem and Alternative Commutation Relations for Quantum Mechanics 1997 V. I. Man’ko
G. Marmo
F. Zaccaria
E. C. G. Sudarshan
+ Theorem on Non-Classicality: From Operatorial Formulation of Physics 2020 Emmanuel Kanambaye
+ Consistency of current commutators 1967 I. Goldberg
Egon Marx
+ Unitarity in the Canonical Commutation Relation Does not Derive from Homogeneity of Space 2015 Steve Faulkner
+ Heisenberg picture dynamics of electromagnetic fields in reducible representation of canonical commutation relations: A case study 2004 Marek Czachor
Jan Naudts
+ Representations of Canonical Commutation Relations with Finite Degrees of Freedom 2020 Asao Arai
+ Commutation relations for linear fields: a coordinate-free approach 1999 Keith Hannabuss
+ Quantum Statistical Mechanics and Canonical Commutation Relations (Notes by P. J. M. Bongaarts and Th. Niemeijer) 1967 David Ruelle
+ New Heisenberg Relations in a Non-commutative Geometry 2005 W. Chagas-Filho

Works That Cite This (0)

Action Title Year Authors