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) [J].

BACRY, H .

JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (09) :2061-2077

[5] THE ATTRACTIVE COULOMB POTENTIAL POLYNOMIALS [J].

BANK, E ;

ISMAIL, MEH .

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 →