A new asymptotic energy expansion method

被引：16
作者：
Nanayakkara, A [1 ]
机构：
[1] Inst Fundamental Studies, Kandy, Sri Lanka
来源：
PHYSICS LETTERS A | 2001年 / 289卷 / 1-2期
关键词：
D O I：
10.1016/S0375-9601(01)00579-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A new asymptotic energy expansion (AEE) method is presented for I-D systems. The method is based on power series expansion of the quantum action variable J in energy and can be applied to a wide range of potentials. Contour integrals involved in the method are much simpler than that in WKB methods. Recurrence relations are derived for any potential with scaling property and general integral formulae are presented in terms of Gamma functions. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：39 / 43
页数：5
相关论文
共 50 条
[21]   A METHOD OF ASYMPTOTIC EXPANSION OF FOURIER-TYPE INTEGRALS [J].
WEBER, TA ;
FRADKIN, DM ;
HAMMER, CL .
ANNALS OF PHYSICS, 1964, 27 (03) :362-376
[22]   AN ALTERNATIVE METHOD FOR THE ASYMPTOTIC-EXPANSION OF A DOUBLE INTEGRAL [J].
SELLIER, A .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 194 (03) :741-762
[23]   MATCHED ASYMPTOTIC EXPANSION METHOD FOR A HOMOGENIZED INTERFACE MODEL [J].
Geymonat, Giuseppe ;
Hendili, Sofiane ;
Krasucki, Francoise ;
Vidrascu, Marina .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2014, 24 (03) :573-597
[24]   Solar sail trajectory analysis with asymptotic expansion method [J].
Niccolai, Lorenzo ;
Quarta, Alessandro A. ;
Mengali, Giovanni .
AEROSPACE SCIENCE AND TECHNOLOGY, 2017, 68 :431-440
[25]   A Survey on Fractional Asymptotic Expansion Method: A Forgotten Theory [J].
Khosro Sayevand ;
José A. Tenreiro Machado .
Fractional Calculus and Applied Analysis, 2019, 22 :1165-1176
[26]   Application of the Asymptotic Taylor Expansion Method to Bistable Potentials [J].
Ozer, Okan ;
Koklu, Halide ;
Resitoglu, Serap .
ADVANCES IN MATHEMATICAL PHYSICS, 2013, 2013
[27]   A SURVEY ON FRACTIONAL ASYMPTOTIC EXPANSION METHOD: A FORGOTTEN THEORY [J].
Sayevand, Khosro ;
Tenreiro Machado, Jose A. .
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2019, 22 (05) :1165-1176
[28]   ASYMPTOTIC EXPANSION FOR DISTRIBUTION OF A STATISTIC ADMITTING AN ASYMPTOTIC EXPANSION [J].
CHIBISOV, DM .
TEORIYA VEROYATNOSTEI I YEYE PRIMENIYA, 1972, 17 (04) :658-&
[29]   ASYMPTOTIC RESULTS FOR OVER-DISPERSED OPERATIONAL RISK BY USING THE ASYMPTOTIC EXPANSION METHOD [J].
LU Zhaoyang .
JournalofSystemsScience&Complexity, 2014, 27 (03) :524-536
[30]   Asymptotic results for over-dispersed operational risk by using the asymptotic expansion method [J].
Zhaoyang Lu .
Journal of Systems Science and Complexity, 2014, 27 :524-536
12345