QUANTUM-MECHANICS AND POLYNOMIALS OF A DISCRETE VARIABLE

被引：24

作者：

FLOREANINI, R ^{[1
]}

LETOURNEUX, J ^{[1
]}

VINET, L ^{[1
]}

机构：

[1] UNIV MONTREAL,PHYS NUCL LAB,MONTREAL H3C 3J7,QUEBEC,CANADA

来源：

ANNALS OF PHYSICS | 1993年 / 226卷 / 02期

关键词：

D O I：

10.1006/aphy.1993.1072

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The recursive Lanczos method for solving the Schrödinger equation is applied to systems with dynamical symmetries and given a group theoretical formulation. An algebraic interpretation of various classical orthogonal polynomials of a discrete variable is obtained in this quantum mechanical context. © 1993 Academic Press, Inc.

引用

页码：331 / 349

页数：19

共 19 条

[1] ASKEY R, 1992, IN PRESS 15 P WORKSH
[2] ASKEY R, 1985, MEM AM MATH SOC, V319
[3] ATAKISHIYEV NM, 1985, ANN PHYS-BERLIN, V42, P25, DOI 10.1002/andp.19854970104
[4] A UNITARY REPRESENTATION OF SL(2,R)
BACRY, H
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (09) : 2061 - 2077
[5] THE ATTRACTIVE COULOMB POTENTIAL POLYNOMIALS
BANK, E
ISMAIL, MEH
[J]. CONSTRUCTIVE APPROXIMATION, 1985, 1 (02) : 103 - 119
[6] BARUT AO, 1972, DYNAMICAL GROUPS GEN
[7] Chihara TS., 1978, INTRO ORTHOGONAL POL
[8] Erdelyi A., 1953, HIGHER TRANSCENDENTA, VII
[9] HAYDOCK R, 1990, ORTHOGONAL POLYNOMIA
[10] HAYDOCK R, 1980, SOLID STATE PHYS, V35, P215

← 1 2 →