Published 1997
| Version v1
Book
Canonical commutation relations - historical aspect and new results
Creators
- 1. Inst. for Nuclear Physics of the Moscow State Univ., Moscow (Russian Federation)
- 2. Inst. for Nuclear Research of the Russian Academy of Sciences, Moscow (Russian Federation)
Description
The aim of the paper is to describe the historical aspects of the canonical commutation relations (CCR) and to analyse the new results. The CCR are the algebraic structure (Heisenberg algebra) on the basis of quantum mechanics and quantum field theory. The following results are discussed: the Weyl form of CCR, Von Neumann's uniqueness theorem, regularity conditions, CCR representation in standard and Weyl forms, CCR in an indefinite metric space, class of CCR regular representations and CCR in the case of infinite number of degrees of freedom
Abstract (Russian)
Описываются исторические аспекты канонических перестановочных соотношений (КПС) и анализируются новые результаты. КПС представляют собой алгебраическую структуру (алгебра Гейзенберга) на основе квантовой механики и квантовой теории поля. Обсуждаются следующие результаты: КПС в форме Вейля, теорема единственности фон Неймана, условия регулярности, представление КПС в стандартной и вейлевой формах, КПС в пространстве с неограниченной метрикой, классы регулярных представлений КПС и КПС с случае бесконечного числа степеней свободыAdditional details
Publishing Information
- Publisher
- State Research Center of Russia, Institute for High Energy Physics
- Imprint Place
- Protvino (Russian Federation)
- ISBN
- 5-88738-019-5
- Imprint Title
- Fundamental problems of high energy physics and field theory. Proceedings of the 20. Workshop on high energy physics and field theory
- Imprint Pagination
- 287 p.
- Journal Page Range
- p. 249-265
Conference
- Title
- 20. Workshop on high energy physics and field theory
- Dates
- 24-26 Jun 1997
- Place
- Protvino (Russian Federation)
INIS
- Country of Publication
- Russian Federation
- Country of Input or Organization
- Russian Federation
- INIS RN
- 32039107
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- ALGEBRAIC FIELD THEORY; COMMUTATION RELATIONS; LAGRANGIAN FIELD THEORY; MATHEMATICAL SPACE; WEYL UNIFIED THEORY
- Descriptors DEC
- AXIOMATIC FIELD THEORY; FIELD THEORIES; QUANTUM FIELD THEORY; SPACE; UNIFIED-FIELD THEORIES
Optional Information
- Notes
- 39 refs.