THE COVARIANT LINEAR-OSCILLATOR AND GENERALIZED REALIZATION OF THE DYNAMIC SU(1,1) SYMMETRY ALGEBRA

被引:38
作者
KAGRAMANOV, ED
MIRKASIMOV, RM
NAGIYEV, SM
机构
[1] INT CTR THEORET PHYS, I-34100 TRIESTE, ITALY
[2] ACAD SCI AZSSR, INST PHYS, BAKU 370073, AZERBAIJAN, USSR
关键词
D O I
10.1063/1.528669
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An exactly solvable problem for the finite-difference Schrödinger equation in the relativistic configurational space is considered. The appropriate finite-difference generalization of the factorization method is developed. The theory of new special functions "the relativistic Hermite polynomials," in which the solutions are expressed, is constructed. © 1990 American Institute of Physics.
引用
收藏
页码:1733 / 1738
页数:6
相关论文
共 44 条
[1]  
AMIRKHANOV IV, 1981, PHYS ELEM PART AT NU, V12, P651
[2]  
ATAKISHIYEV NM, 1985, ANN PHYS-BERLIN, V42, P25, DOI 10.1002/andp.19854970104
[3]  
ATAKISHIYEV NM, 1986, TEOR MAT FIZ, V67, P68
[4]  
ATAKISHIYEV NM, 1980, THEORETICHESKAYA MAT, V44, P47
[5]   ON NON-COMPACT GROUPS .2. REPRESENTATIONS OF THE 2+1 LORENTZ GROUP [J].
BARUT, AO ;
FRONSDAL, C .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1965, 287 (1411) :532-&
[6]   NEW COHERENT STATES ASSOCIATED WITH NON-COMPACT GROUPS [J].
BARUT, AO ;
GIRARDELLO, L .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1971, 21 (01) :41-+
[7]   THE CLEBSCH-GORDAN-COEFFICIENTS OF THE 3-DIMENSIONAL LORENTZ ALGEBRA IN THE PARABOLIC BASIS [J].
BASU, D ;
WOLF, KB .
JOURNAL OF MATHEMATICAL PHYSICS, 1983, 24 (03) :478-500
[8]   QUANTUM RELATIVISTIC OSCILLATOR - MODIFYING THE HAMILTONIAN-FORMALISM OF THE RELATIVISTIC STRING [J].
BOHM, A ;
LOEWE, M ;
MAGNOLLAY, P .
PHYSICAL REVIEW D, 1985, 31 (09) :2304-2315
[9]   POSITIVE-ENERGY RELATIVISTIC WAVE-EQUATION .2. [J].
DIRAC, PAM .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1972, 328 (1572) :1-&
[10]   A REMARKABLE REPRESENTATION OF 3 + 2 DE SITTER GROUP [J].
DIRAC, PAM .
JOURNAL OF MATHEMATICAL PHYSICS, 1963, 4 (07) :901-&