On the Mechanism for Nonlinear Representations of the Lorentz Group Arising in Quantum Field Theory

被引：0

作者：

O. I. Zavialov

机构：

[1] Steklov Mathematical Institute,

[2] RAS,undefined

来源：

Theoretical and Mathematical Physics | 2001年 / 128卷

关键词：

Wave Function; Field Theory; Quantum Field Theory; Wigner Function; Nonlinear Representation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A “mechanism” is identified that leads to the “correct” law for the relativistic Wigner function transformation with respect to the Lorentz group as long as the corresponding relativistic wave functions have special transformation properties.

引用

页码：1176 / 1180

页数：4

共 50 条

[1] On the mechanism for nonlinear representations of the Lorentz group arising in quantum field theory
Zavialov, OI
THEORETICAL AND MATHEMATICAL PHYSICS, 2001, 128 (03) : 1176 - 1180
[2] Nonlinear Representations of the Lorentz Group in Quantum Field Theory
O. I. Zavialov
Theoretical and Mathematical Physics, 2001, 127 : 471 - 482
[3] Nonlinear representations of the Lorentz group in quantum field theory
Zavialov, OI
THEORETICAL AND MATHEMATICAL PHYSICS, 2001, 127 (01) : 471 - 482
[4] Representations of quantum Lorentz group on Gelfand spaces
Pusz, W
Woronowicz, SL
REVIEWS IN MATHEMATICAL PHYSICS, 2000, 12 (12) : 1551 - 1625
[5] IRREDUCIBLE UNITARY REPRESENTATIONS OF QUANTUM LORENTZ GROUP
PUSZ, W
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 152 (03) : 591 - 626
[6] FINITE DIMENSIONAL REPRESENTATIONS OF THE QUANTUM LORENTZ GROUP
TAKEUCHI, M
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 144 (03) : 557 - 580
[7] GROUP-REPRESENTATIONS ARISING FROM LORENTZ CONFORMAL GEOMETRY
BRANSON, TP
JOURNAL OF FUNCTIONAL ANALYSIS, 1987, 74 (02) : 199 - 291
[8] NONLINEAR HYPERBOLIC EQUATIONS ARISING IN QUANTUM FIELD-THEORY
CHADAM, JM
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (06): : A616 - A616
[9] Gravitational quantum states as finite representations of the Lorentz group
Cianfrani, Francesco
CLASSICAL AND QUANTUM GRAVITY, 2021, 38 (24)
[10] Unitary Representations of the Quantum Lorentz Group and Quantum Relativistic Toda Chain
M. A. Olshanetsky
V.-B. K. Rogov
Theoretical and Mathematical Physics, 2002, 130 : 299 - 322

← 1 2 3 4 5 →