SUPERINTEGRABILITY OF THE WINTERNITZ SYSTEM

被引：159

作者：

EVANS, NW ^{[1
]}

机构：

[1] UNIV CAMBRIDGE KINGS COLL,CAMBRIDGE CB2 1ST,ENGLAND

来源：

PHYSICS LETTERS A | 1990年 / 147卷 / 8-9期

关键词：

D O I：

10.1016/0375-9601(90)90611-Q

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Winternitz system in N degrees of freedom is introduced and shown to possess 2N-1 functionally independent isolating integrals. The hidden symmetry is described by a degeneracy group of isolating integrals, which is isomorphic to SU (N) and embedded in a larger dynamical group relating all the bound orbits to each other. © 1990.

引用

页码：483 / 486

页数：4

共 19 条

[1] DE SITTER GROUP L4,1 AND BOUND STATES OF HYDROGEN ATOM [J].

BACRY, H .

NUOVO CIMENTO A, 1966, 41 (02) :222-+

[2] On the theory of the hydrogen atom. [J].

Bargmann, V. .

ZEITSCHRIFT FUR PHYSIK, 1936, 99 (7-8) :576-582

[3]

BOHM A, 1988, DYNAMICAL GROUPS SPE, P371

[4]

BORN M, 1927, MECHANICS ATOM, P265

[5]

DOTHAN J, 1970, PHYS REV D, V2, P2944

[6]

EVANS NW, IN PRESS PHYS REV A

[7] Hydrogen atom theory [J].

Fock, V. .

ZEITSCHRIFT FUR PHYSIK, 1935, 98 (3-4) :145-154

[8] ON HIGHER SYMMETRIES IN QUANTUM MECHANICS [J].

FRIS, J ;

MANDROSOV, V ;

SMORODINSKY, YA ;

UHLIR, M ;

WINTERNITZ, P .

PHYSICS LETTERS, 1965, 16 (03) :354-+

[9] DYNAMICAL GROUP FOR HARMONIC OSCILLATOR [J].

HASKELL, TG ;

WYBOURNE, BG .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1973, 334 (1599) :541-551

[10] On the problem of degeneracy in quantum mechanics [J].

Jauch, JM ;

Hill, EL .

PHYSICAL REVIEW, 1940, 57 (07) :641-645

← 1 2 →