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Quantization of a relativistic particle on the SL(2.R) manifold based on Hamiltonian reduction

机译：基于哈密顿约简的sL（2.R）流形上相对论粒子的量子化

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A quantum theory is constructed for the system of a relativistic particle with mass m moving freely on the SL(2.R) group manifold. Applied to the cotangent bundle of SL(2.R). the method of Hamiltonian reduction allows us to split the reduced system into two coadjoint orbits of the group. We find that the Hilbert space consists of states given by the discrete series of the unitary irreducible representations of SL(2.R). and with a positive-definite, discrete spectrum. (author). (ERA citation 20:006671)

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Jorjadze, G. ; O'Raifeartaigh, L. ; Tsutsui, I.;
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年度 1994
页码 1-16
总页数 16
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Quantization; Hilbert Space; Mass; Motion; Particle Interactions; Particle Structure; Relativistic Range; SL Groups; Unitary Symmetry;

机译：量子化; Hilbert空间;质量;运动;粒子相互作用;粒子结构;相对论范围; sL群;酉对称;

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专利

1. Hamiltonian Reduction and Quantization on Symplectic Manifolds [J] . George Jorjadze. Memoirs on Differential Equations and Mathematical Physics . 1998,第4期

机译：辛流形上的哈密顿量约简和量化
2. The (sl)over-cap(2) circle plus (sl)over-cap(2)/(sl)over-cap(2) coset theory as a Hamiltonian reduction of (D)over-cap (2 vertical bar 1;alpha) [J] . Feigin BL., Semikhatov AM. Nuclear physics, B . 2001,第3期

机译：（sl）over-cap（2）圆加上（sl）over-cap（2）/（sl）over-cap（2）协集理论，作为（D）over-cap的哈密顿量减少（2竖线1; α）
3. Hamiltonian quantization of Chern-Simons theory with SL(2,C) group [J] . Buffenoir E., Noui K., Roche P. Classical and Quantum Gravity: An Interantional Journal of Gravity Geometry of Field Theories Supergravity Cosmology . 2002,第19期

机译：具有SL（2，C）组的Chern-Simons理论的哈密顿量化
4. Consistent relativistic quantum theory for systems/particles described by non-Hermitian Hamiltonians and Lagrangians [C] . Frieder Kleefeld International workshop on hadron physics of low energy QCD . 2003

机译：非私人哈密顿人和拉格朗吉人描述的系统/粒子的一致相对论量子理论
5. STUDIES IN HAMILTONIAN THEORIES OF RELATIVISTIC INTERACTING PARTICLES, AND IN THE APPLICATION OF SYMMETRY GROUPS TO ELEMENTARY PARTICLE PHYSICS.(PARTS I AND II). [D] . MUKUNDA, NARASIMHAIENGAR. 1964

机译：相对论相互作用粒子哈密顿理论的研究，以及对称群在基本粒子物理学中的应用。（第一和第二部分）。
6. NOTES TOWARD THE CONSTRUCTION OF NONLINEAR RELATIVISTIC QUANTUM FIELDS I. THE HAMILTONIAN IN TWO SPACE-TIME DIMENSIONS AS THE GENERATOR OF A C*-AUTOMORPHISM GROUP [O] . Irving Segal 1967

机译：关于构造非线性相对论量子场的注意事项I。两个时空维的哈密顿量作为C *-自善群的生成器
7. Quantization of a relativistic particle on the SL(2,R) manifold based on Hamiltonian reduction [O] . Tsutsui, G. Jorjadze L. O'Raifeartaigh I. 1994

机译：基于maTLaB的sL（2，R）流形上相对论粒子的量子化汉密尔顿减少

Quantization of a relativistic particle on the SL(2.R) manifold based on Hamiltonian reduction

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