Non-Born-Oppenheimer variational method for calculation of rotationally excited binuclear systems

被引:8
作者
Kirnosov, Nikita [1 ]
Sharkey, Keeper L. [2 ]
Adamowicz, Ludwik [1 ,2 ]
机构
[1] Univ Arizona, Dept Phys, Tucson, AZ 85721 USA
[2] Univ Arizona, Dept Chem & Biochem, Tucson, AZ 85721 USA
基金
美国国家科学基金会;
关键词
rovibrational states; non-Born-Oppenheimer method; explicitly correlated Gaussian functions; ENERGY-LEVELS; GROUND-STATE; HD+; SPECTRA; IONS; D2+;
D O I
10.1088/0953-4075/48/19/195101
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
An algorithm for direct non-Born-Oppenheimer quantum mechanical variational calculations of bound states of binuclear systems with Coulombic interactions corresponding to the total angular momentum quantum number equal to one (N = 1) is derived and implemented. Contributions corresponding to each of the particles being angularly excited are taken into account. All-particle explicitly correlated Gaussian basis functions with Cartesian angular factors are used in the approach. The method is tested in the calculations of various three-particle systems including heteronuclear electronic (HD+) and muonic (e.g. pd mu) ions.
引用
收藏
页数:15
相关论文
共 28 条
[1]   A Fortran 90-based multiprecision system [J].
Bailey, DH .
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1995, 21 (04) :379-387
[2]   Integer relation detection [J].
Bailey, DH .
COMPUTING IN SCIENCE & ENGINEERING, 2000, 2 (01) :24-28
[3]   CALCULATIONS OF VIBRATION-ROTATION ENERGY-LEVELS OF HD+ [J].
BALINTKURTI, GG ;
MOSS, RE ;
SADLER, IA ;
SHAPIRO, M .
PHYSICAL REVIEW A, 1990, 41 (09) :4913-4921
[4]   Charge asymmetry in pure vibrational states of the HD molecule [J].
Bubin, Sergiy ;
Leonarski, Filip ;
Stanke, Monika ;
Adamowicz, Ludwik .
JOURNAL OF CHEMICAL PHYSICS, 2009, 130 (12)
[5]   SPECTROSCOPIC OBSERVATION OF HD+ IN THE NU = 22 LEVEL [J].
CARRINGTON, A ;
MCNAB, IR ;
MONTGOMERIE, CA .
MOLECULAR PHYSICS, 1988, 65 (03) :751-755
[6]   MICROWAVE-SPECTRA OF THE HD+ AND D2+ IONS AT THEIR DISSOCIATION LIMITS [J].
CARRINGTON, A ;
MCNAB, IR ;
MONTGOMERIE, CA ;
BROWN, JM .
MOLECULAR PHYSICS, 1989, 66 (06) :1279-1289
[7]  
DELVES LM, 1968, AUST J PHYS, V21, P1
[8]   Ground-state energies for helium, H-, and Ps- -: art. no. 054501 [J].
Drake, GWF ;
Cassar, MM ;
Nistor, RA .
PHYSICAL REVIEW A, 2002, 65 (05) :545011-545014
[9]   Calculation of binding energy for muonic three-body systems in the hyperspherical approach [J].
Eskandari, MR ;
Mahdavi, M .
PHYSICAL REVIEW A, 2003, 68 (03) :6
[10]   On the bound states in the muonic molecular ions [J].
Frolov, A. M. .
EUROPEAN PHYSICAL JOURNAL D, 2012, 66 (08)