Fermi-Bose Similarity

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概要

• 論文の詳細を見る

• The usual theory of the Lie algebras and the Lie groups is shown to be formally extended to the cases in which the group parameters commute and/or anticommute in the most general manner. It is then proved that the parafermi and parabose algebras for f degrees of freedom correspond to the Lie algebras of SO(2f+1) and of a graded version of Sp(2f, R), respectively. Further the trilinear and bilinear commutation relations for a general system comprising parafermi and parabose fields are shown to coincide with the Lie commutation relations of a certain group in the above-metioned sense. Throughout our argumentation parafermi and parabose fields can formally be treated in an analogous manner. It is thus concluded that the fermi-bose similarity that is known to hold in the ordinary field theory persists also in parafield theory.

• 理論物理学刊行会の論文
• 1976-12-25

著者

• Kamefuchi Susumu

  Department Of Physics Keio University

• Kamefuchi Susumu

  Department Of Physics Tokyo University Of Education

• Ohnuki Yoshio

  Department Of Physics Nagoya University

• Omote Minoru

  Institute Of Physics The University Of Tsukuba

• OMOTO Minoru

  Institute of Physics, University of Tsukuba

• Omoto Minoru

  Institute Of Physics University Of Tsukuba

• KAMEFUCHI Susumu

  Department of Physics, Tokyo University of Education

• KAMEFUCHI Susumu

  Institute of Physics, University of Tukuba

関連論文

• Superspace Formulation of the Classical Spectral Transform Method for the Massive Thirring Model : Particles and Fields
• Parafermi Field Theory and Elementary Particles
• Remarks on a New Concept of Elementary Particles and the Method of the Composite Model
• Chapter 2 The Full Symmetry Theory of the SAKATA Model(Part II. The Composite Model for Elementary Particles)
• A Possible Symmetry in Sakata's Model for Bosons-Baryons System. II
• A Possible Symmetry in Sakata's Model for Bosons-Baryons System
• Anomalies and Weyl Modes in Chiral Gauge Theories : Particles and Fields
• Report on Symposium on Elementary Particles
• A Comment on the Nonleptonic Weak Current and Baryon-Lepton Symmetry
• The Hamiltonian Formalism of the Local Scale Invariant Gravitational Theory
• Mass Levels of Higher Meson Resonances
• On the Wave Aspect of Relativistic Quantum Fields(Particles and Fields)
• Fermi-Bose Similarity
• Comments on Quantum Field Theory of Tachyons
• On a Possibility of a Further Generalization of Field Quantization
• Majorana Fields with Zero Mode and Luders' Theorem : Particles and Fields
• Parafermi Field Theory : The Cluster Property and the Relation with the Theory of a Fermi Field with a Hidden Variable
• Coherent States of Fermi Operators and the Path Integral
• Quantization of a Spin-3/2 Field Interacting with the Electromagnetic Field
• The Second Rank Tensor Field, a Systematic Study : Classification of the Second Rank Tensor Field Theories : Particles and Fields
• General Formulation of the Gravitational Lens and Analysis of the Multiple Quasar PG1115+080 : Astrophysics and Relativity
• Models for Elementary Particles and the Nagoya School 1955-1973(Commemorating the Nobel Prize Awarded to M. Kobayashi and T. Maskawa)
• A Parafermi Model of Leptons
• On the Abnormal Solution of Bethe-Salpeter Equation : A Relation between Static and Non-Static Solutions
• Some Algebraic Relations for Parafield Operators
• Anomalies and Weyl Modes in Chiral Gauge Theories
• The Sakata Model and the Birth of U(3) Symmetry : A Personal Recollection(The Jubilee of the Sakata Model)
• Bound States and Their Statistics in Para-Field Theory

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