AN ANALYTIC METHOD FOR THE ACCURATE CALCULATION OF ENERGY EIGENVALUES OF A DOUBLE-WELL ANHARMONIC-OSCILLATOR

被引：2

作者：

WANG, YF

LIANG, YQ

TANG, AQ

机构：

[1] NANJING UNIV,DEPT CHEM,NANJING 210008,PEOPLES R CHINA

[2] JILIN UNIV,INST THEORET CHEM,CHANGCHUN 130023,PEOPLES R CHINA

来源：

CHEMICAL PHYSICS | 1992年 / 168卷 / 01期

关键词：

D O I：

10.1016/0301-0104(92)80105-5

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

A simple analytic procedure is presented to calculate accurate energy eigenvalues and eigenfunctions of the double-well anharmonic oscillator by incorporating the harmonic oscillator eigenfunctions and Manneback formulas into the variational method. Fast convergence of the method is demonstrated by comparison of some eigenvalues in model calculations.

引用

页码：23 / 27

页数：5

共 50 条

[21] Energy eigenvalues for anharmonic and double-well oscillators with even power polynomial potential
Mamta
Vishwamittar
Physica A: Statistical and Theoretical Physics, 1995, 216 (04):
[22] ENERGY EIGENVALUES OF DOUBLE-WELL OSCILLATOR WITH MIXED QUARTIC AND SEXTIC ANHARMONICITIES
BANSAL, M
SRIVASTAVA, S
VISHWAMITTAR
PHYSICAL REVIEW A, 1991, 44 (12): : 8012 - 8019
[23] Calculation of eigenfunctions in a double-well oscillator
Ansaripour, Ghassem
PHYSICA SCRIPTA, 2010, 82 (04)
[24] Anharmonic Oscillator and Double-Well Potential: Approximating Eigenfunctions
Alexander Turbiner
Letters in Mathematical Physics, 2005, 74 : 169 - 180
[25] ACCURATE ANALYTIC EXPECTATION VALUES FOR AN ANHARMONIC-OSCILLATOR USING HYPERVIRIAL THEOREM
TIPPING, RH
JOURNAL OF CHEMICAL PHYSICS, 1973, 59 (12): : 6433 - 6442
[26] Anharmonic oscillator and double-well potential: Approximating eigenfunctions
Turbiner, A
LETTERS IN MATHEMATICAL PHYSICS, 2005, 74 (02) : 169 - 180
[27] The quantum double-well anharmonic oscillator in an external field
Van der Straeten, E
Naudts, J
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (04): : 933 - 940
[28] EIGENVALUES AND EIGENFUNCTIONS OF A SPHERICALLY SYMMETRIC ANHARMONIC-OSCILLATOR
ISAACSON, D
MARCHESIN, D
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1978, 31 (06) : 659 - 670
[29] Comment on 'Calculation of eigenfunctions in a double-well oscillator'
Fernandez, Francisco M.
PHYSICA SCRIPTA, 2011, 83 (04)
[30] ENERGY CALCULATION OF ANHARMONIC-OSCILLATOR BY DALGARNO SUM-RULE
GHOSH, A
KHUBCHANDANI, PG
INDIAN JOURNAL OF PURE & APPLIED PHYSICS, 1980, 18 (10) : 821 - 822

← 1 2 3 4 5 →