A NEW NULL-PLANE QUANTUM POINCARE ALGEBRA

被引：61

作者：

BALLESTEROS, A ^{[1
]}

HERRANZ, FJ ^{[1
]}

DELOLMO, MA ^{[1
]}

SANTANDER, M ^{[1
]}

机构：

[1] UNIV VALLADOLID,DEPT FIS TEOR,E-47011 VALLADOLID,SPAIN

来源：

PHYSICS LETTERS B | 1995年 / 351卷 / 1-3期

关键词：

D O I：

10.1016/0370-2693(95)00386-Y

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A new quantum deformation, which we call null-plane, of the (3+1) Poincare algebra is obtained. The algebraic properties of the classical null-plane description are generalized to this quantum deformation. In particular, the classical isotopy subalgebra of the null-plane is deformed into a Hopf subalgebra, and deformed spin operators having classical commutation rules can be defined. Quantum Hamiltonian, mass and position operators are studied, and the null-plane evolution is expressed in terms of a deformed Schrodinger equation.

引用

页码：137 / 145

页数：9

共 13 条

[1] NONSTANDARD QUANTUM SO(2,2) AND BEYOND [J].

BALLESTEROS, A ;

HERRANZ, FJ ;

DELOLMO, MA ;

SANTANDER, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (04) :941-955

[2] 4-DIMENSIONAL QUANTUM AFFINE ALGEBRAS AND SPACE-TIME Q-SYMMETRIES [J].

BALLESTEROS, A ;

HERRANZ, FJ ;

DELOLMO, MA ;

SANTANDER, M .

JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (09) :4928-4940

[3]

BALLESTEROS A, IN PRESS LETT MATH P

[4]

CHIACHIAN M, 1993, PHYS LETT B, V304, P220

[5] FORMS OF RELATIVISTIC DYNAMICS [J].

DIRAC, PAM .

REVIEWS OF MODERN PHYSICS, 1949, 21 (03) :392-399

[6]

Kogut J., 1973, Physics Reports. Physics Letters Section C, V8C, P75, DOI 10.1016/0370-1573(73)90009-4

[7] QUANTUM ELECTRODYNAMICS IN INFINITE-MOMENTUM FRAME [J].

KOGUT, JB ;

SOPER, DE .

PHYSICAL REVIEW D, 1970, 1 (10) :2901-&

[8] HARMONIC CONFINEMENT - FULLY RELATIVISTIC APPROXIMATION TO MESON SPECTRUM [J].

LEUTWYLER, H ;

STERN, J .

PHYSICS LETTERS B, 1978, 73 (01) :75-79

[9] RELATIVISTIC DYNAMICS ON A NULL PLANE [J].

LEUTWYLER, H ;

STERN, J .

ANNALS OF PHYSICS, 1978, 112 (01) :94-164

[10] IMPLEMENTATION OF THE LEIBBRANDT-MANDELSTAM GAUGE PRESCRIPTION IN THE NULL-PLANE BOUND-STATE EQUATION [J].

LIU, HH ;

SOPER, DE .

PHYSICAL REVIEW D, 1993, 48 (04) :1841-1851

← 1 2 →