CORRECTIONS TO THE BORN-OPPENHEIMER APPROXIMATION FOR A HARMONIC-OSCILLATOR

被引：3

作者：

PATTERSON, CW

机构：

[1] Theoretical Division, Los Alamos National Laboratory, Los Alamos

来源：

PHYSICAL REVIEW A | 1993年 / 47卷 / 02期

关键词：

D O I：

10.1103/PhysRevA.47.879

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We derive simple expressions for the energy corrections to the Born-Oppenheimer approximation valid for a harmonic oscillator. We apply these corrections to the electronic and rotational ground state of H-2+ and show that the diabatic energy corrections are linearly dependent on the vibrational quantum numbers as seen in recent variational calculations [D. A. Kohl and E. J. Shipsey, J. Chem. Phys. 84, 2707 (1986)].

引用

收藏

页码：879 / 883

页数：5

相关论文

共 10 条

[1] ELECTRON-NUCLEAR COUPLING IN THE HYPERFINE-STRUCTURE OF THE HYDROGEN MOLECULAR ION [J].

BABB, JF ;

DALGARNO, A .

PHYSICAL REVIEW LETTERS, 1991, 66 (07) :880-882

[2] ACCURATE NONRELATIVISTIC EXPECTATION VALUES FOR H2+ [J].

BABB, JF ;

SHERTZER, J .

CHEMICAL PHYSICS LETTERS, 1992, 189 (03) :287-290

[3] THEORETICAL STUDY OF H2+ GROUND ELECTRONIC STATE SPECTROSCOPIC PROPERTIES [J].

BECKEL, CL ;

HANSEN, BD ;

PEEK, JM .

JOURNAL OF CHEMICAL PHYSICS, 1970, 53 (09) :3681-&

[4] CALCULATION OF TRANSITION FREQUENCIES FOR H2+ AND ITS ISOTOPES TO SPECTROSCOPIC ACCURACY [J].

BISHOP, DM ;

CHEUNG, LM .

PHYSICAL REVIEW A, 1977, 16 (02) :640-645

[5] QUANTUM MOTION IN A PAUL TRAP [J].

BROWN, LS .

PHYSICAL REVIEW LETTERS, 1991, 66 (05) :527-529

[6] BORN-OPPENHEIMER SEPARATION FOR 3-PARTICLE SYSTEMS .3. APPLICATIONS [J].

HUNTER, G ;

PRITCHARD, HO .

JOURNAL OF CHEMICAL PHYSICS, 1967, 46 (06) :2153-+

[7] STUDY OF A QUANTUM FERMI-ACCELERATION MODEL [J].

JOSE, JV ;

CORDERY, R .

PHYSICAL REVIEW LETTERS, 1986, 56 (04) :290-293

[8] H-2+-A FULL 3-BODY VARIATIONAL TREATMENT [J].

KOHL, DA ;

SHIPSEY, EJ .

JOURNAL OF CHEMICAL PHYSICS, 1986, 84 (05) :2707-2710

[9] CLASS OF CLASSICALLY CHAOTIC TIME-PERIODIC HAMILTONIANS WHICH LEAD TO SEPARABLE EVOLUTION OPERATORS [J].

VISSCHER, WM .

PHYSICAL REVIEW A, 1987, 36 (10) :5031-5045

[10] ABINITIO NON-ADIABATIC VIBRATIONAL ENERGIES OF HYDROGEN MOLECULE ION [J].

WOLNIEWICZ, L ;

POLL, JD .

JOURNAL OF MOLECULAR SPECTROSCOPY, 1978, 72 (02) :264-274