THE KEPLER ELLIPSES OF THE HYDROGEN-ATOM IN CROSSED ELECTRIC AND MAGNETIC-FIELDS

被引：19

作者：

FLOTHMANN, E ^{[1
]}

MAIN, J ^{[1
]}

WELGE, KH ^{[1
]}

机构：

[1] RUHR UNIV BOCHUM,INST THEORET PHYS 1,UNIV STR,D-44801 BOCHUM,GERMANY

来源：

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS | 1994年 / 27卷 / 13期

关键词：

D O I：

10.1088/0953-4075/27/13/012

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

For the hydrogen atom in crossed, perpendicular, static electric and magnetic fields we show the existence of three elementary Kepler ellipses, two in the plane perpendicular to the magnetic field and one, three-dimensional, largely perpendicular to the electric field. They are determined from the symmetry properties in the low field limit, occurring for all external field combinations. Their parameter dependences and stability properties are analysed in detail. In the case that the orbits are stable the corresponding maximum orientated quantum states are identified. For states with sufficient low principal quantum numbers the total splitting of a given n-shell is described by semiclassical quantization of these three Kepler ellipses.

引用

页码：2821 / 2833

页数：13

共 17 条

[1]

Alliluev S.P., 1974, SOV PHYS JETP, V39, P627

[2]

BRAUN PA, 1984, ZH EKSP TEOR FIZ, V59, P38

[3] A NEW METHOD FOR PRODUCING CIRCULAR RYDBERG STATES [J].

DELANDE, D ;

GAY, JC .

EUROPHYSICS LETTERS, 1988, 5 (04) :303-308

[4]

DEMKOV YN, 1970, ZH EKSP TEOR FIZ, V30, P775

[5]

ENGLEFIELD MJ, 1972, GROUP THEORY COULOMB

[6] ATOMIC QUANTUM STATES WITH MAXIMUM LOCALIZATION ON CLASSICAL ELLIPTICAL-ORBITS [J].

GAY, JC ;

DELANDE, D ;

BOMMIER, A .

PHYSICAL REVIEW A, 1989, 39 (12) :6587-6590

[7]

GUTZWILLER M., 1990, CHAOS CLASSICAL QUAN

[8] CORRESPONDENCE BETWEEN CLASSICAL AND QUANTUM CHAOS FOR HYDROGEN IN A UNIFORM MAGNETIC-FIELD [J].

HARADA, A ;

HASEGAWA, H .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (08) :L259-L263

[9] CIRCULAR ATOMS PREPARED BY A NEW METHOD OF CROSSED ELECTRIC AND MAGNETIC-FIELDS [J].

HARE, J ;

GROSS, M ;

GOY, P .

PHYSICAL REVIEW LETTERS, 1988, 61 (17) :1938-1941

[10] SYMMETRY OF THE QUADRATIC ZEEMAN EFFECT FOR HYDROGEN [J].

HERRICK, DR .

PHYSICAL REVIEW A, 1982, 26 (01) :323-329

← 1 2 →