Quantum and semiclassical analysis of long-range Rydberg molecules

被引:34
作者
Granger, BE [1 ]
Hamilton, EL
Greene, CH
机构
[1] Univ Colorado, Dept Phys, Boulder, CO 80309 USA
[2] Univ Colorado, JILA, Boulder, CO 80309 USA
来源
PHYSICAL REVIEW A | 2001年 / 64卷 / 04期
关键词
D O I
10.1103/PhysRevA.64.042508
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A recent study suggests the existence of highly polar and nonpolar long-range Rydberg molecules under temperature and density conditions representative of those found in atomic Bose-Einstein condensates. The electronic wave functions of these Rydberg molecules are characterized by an elliptically shaped nodal structure. We use a combination of quantum and semiclassical methods to explore this unique nodal structure and its correlations with the Born-Oppenheimer potential curves of the molecules. We demonstrate a special "quasiseparability" that arises in elliptic coordinates at certain internuclear separations and give a semiclassical interpretation of this in terms of quantized Einstein-Brillouin-Keller orbits.
引用
收藏
页码:425081 / 425089
页数:9
相关论文
共 20 条
[1]   Low-lying 3P0 and 3Se states of Rb-, Cs-, and Fr- -: art. no. 022722 [J].
Bahrim, C ;
Thumm, U .
PHYSICAL REVIEW A, 2000, 61 (02)
[2]  
BRACK M, 1997, SEMICLASSICAL PHYSIC
[3]  
Coulson C. A., 1967, INT J QUANTUM CHEM, V1, P337
[4]   WAVE FUNCTIONS FOR THE HYDROGEN ATOM IN SPHEROIDAL COORDINATES .1. THE DERIVATION AND PROPERTIES OF THE FUNCTIONS [J].
COULSON, CA ;
ROBINSON, PD .
PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1958, 71 (461) :815-827
[5]  
De Almeida A. M. O., 1988, HAMILTONIAN SYSTEMS
[6]  
Demkov Yu. N., 1988, ZERO RANGE POTENTIAL
[7]   INTERACTION BETWEEN A RYDBERG ATOM AND NEUTRAL PERTURBERS [J].
DU, NY ;
GREENE, CH .
PHYSICAL REVIEW A, 1987, 36 (02) :971-974
[8]   Periodic orbits of the hydrogen molecular ion [J].
Duan, YW ;
Yuan, JM .
EUROPEAN PHYSICAL JOURNAL D, 1999, 6 (03) :319-326
[9]   A NOTE ON THE ONE-ELECTRON STATES OF DIATOMIC MOLECULES [J].
ERIKSON, HA ;
HILL, EL .
PHYSICAL REVIEW, 1949, 75 (01) :29-31
[10]   Creation of polar and nonpolar ultra-long-range Rydberg molecules [J].
Greene, CH ;
Dickinson, AS ;
Sadeghpour, HR .
PHYSICAL REVIEW LETTERS, 2000, 85 (12) :2458-2461