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

[11]

Lichtenberg A. J., 1983, REGULAR STOCHASTIC M

[12] THEORY OF THE LIAPUNOV EXPONENTS OF HAMILTONIAN-SYSTEMS AND A NUMERICAL STUDY ON THE TRANSITION FROM REGULAR TO IRREGULAR CLASSICAL MOTION [J].

MEYER, HD .

JOURNAL OF CHEMICAL PHYSICS, 1986, 84 (06) :3147-3161

[13] SEMICLASSICAL QUANTIZATION OF NONSEPARABLE SYSTEMS - NEW LOOK AT PERIODIC ORBIT THEORY [J].

MILLER, WH .

JOURNAL OF CHEMICAL PHYSICS, 1975, 63 (02) :996-999

[14] The hydrogen spectrum from the view point of the new quantal mechanics [J].

Pauli, W .

ZEITSCHRIFT FUR PHYSIK, 1926, 36 (05) :336-363

[15] RYDBERG STATES OF RUBIDIUM IN CROSSED ELECTRIC AND MAGNETIC-FIELDS [J].

PENENT, F ;

DELANDE, D ;

GAY, JC .

PHYSICAL REVIEW A, 1988, 37 (12) :4707-4719

[16]

SOLOVEV EA, 1983, ZH EKSP TEOR FIZ, V58, P63

[17] UNSTABLE PERIODIC-ORBITS AND SEMICLASSICAL QUANTIZATION [J].

VOROS, A .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (03) :685-692

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