Central potential reconstruction from scattering data by the variable boundary method with the use of Bargmann potentials

被引：0

作者：

Abramov, D. I. ^{[1
]}

Mar'yasin, V. S. ^{[1
]}

机构：

[1] St Petersburg State Univ, St Petersburg 199164, Russia

来源：

RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY B | 2012年 / 6卷 / 02期

关键词：

interaction potential; inverse scattering problem; INVERSE SCATTERING; DIFFERENTIAL-EQUATION; SCHRODINGER-EQUATION; NUMERICAL-SOLUTIONS;

D O I：

10.1134/S1990793112020145

中图分类号：

O64 [物理化学（理论化学）、化学物理学]; O56 [分子物理学、原子物理学];

学科分类号：

070203 ; 070304 ; 081704 ; 1406 ;

摘要：

An effective numerical method for solving the inverse quantum scattering problem with a fixed angular momentum is suggested. The method is based on combining the variable boundary method suggested earlier and the method of Bargmann potentials. Test calculations are evidence of high method effectiveness in various particular cases, for instance, when there are bound states and resonances.

引用

页码：210 / 217

页数：8

共 13 条

[1]

Abramov D. I., 1988, Soviet Physics - Doklady, V33, P38

[2] QUANTUM INVERSE SCATTERING PROBLEM AS A CAUCHY-PROBLEM [J].

ABRAMOV, DI .

JOURNAL OF COMPUTATIONAL PHYSICS, 1991, 97 (02) :516-534

[3]

Babikov V.V., 1968, METHOD PHASE FUNCTIO

[4]

Bogdanov I. V., 1987, Soviet Physics - JETP, V66, P1

[5] INVERSE PROBLEMS IN CLASSICAL SCATTERING-THEORY FOR CENTROSYMMETRIC ELECTRIC AND MAGNETIC-FIELDS [J].

BOGDANOV, IV ;

DEMKOV, YN .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (04) :L155-L157

[6]

BOGDANOV IV, 1982, SOV PHYS JETP, V55, P1037

[7]

Calogero F., 1967, Variable Phase Approach to Potential Scattering

[8]

Chadan K., 1989, INVERSE PROBLEMS QUA

[9] MILNE DIFFERENTIAL-EQUATION AND NUMERICAL-SOLUTIONS OF THE SCHRODINGER-EQUATION .2. COMPLEX ENERGY RESONANCE STATES [J].

KORSCH, HJ ;

LAURENT, H ;

MOHLENKAMP, R .

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1982, 15 (01) :1-15

[10] MILNES DIFFERENTIAL-EQUATION AND NUMERICAL-SOLUTIONS OF THE SCHRODINGER-EQUATION .1. BOUND-STATE ENERGIES FOR SINGLE-MINIMUM AND DOUBLE-MINIMUM POTENTIALS [J].

KORSCH, HJ ;

LAURENT, H .

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1981, 14 (22) :4213-4230

← 1 2 →