Calculation of wave functions and of energy levels: Application to multiple quantum wells and continuous potential

被引：13

作者：

Grossel, P ^{[1
]}

Vigoureux, JM ^{[1
]}

机构：

[1] UNIV BESANCON, PHYS MOL LAB, CNRS, UA 772, F-25030 BESANCON, FRANCE

来源：

PHYSICAL REVIEW A | 1997年 / 55卷 / 01期

关键词：

D O I：

10.1103/PhysRevA.55.796

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A generalization to the complex plane of Einstein's addition law of velocities is used to calculate energy levels and wave functions at any place in quantum potentials of arbitrary shape. Some examples are presented (resonant tunnel effect, truncated harmonic oscillators). A comparison with the usual poles method is also discussed.

引用

页码：796 / 799

页数：4

共 12 条

[1]

Bellman R, 1972, PERTURBATION TECHNIQ

[2] EVALUATION OF THE EIGENVALUES OF MULTIPLE-QUANTUM-WELL POTENTIALS [J].

DECK, RT ;

LI, XS .

AMERICAN JOURNAL OF PHYSICS, 1995, 63 (10) :920-928

[3] NONLOCAL APPROACH TO SCATTERING IN A ONE-DIMENSIONAL PROBLEM [J].

GROSSEL, P ;

VIGOUREUX, JM ;

BAIDA, F .

PHYSICAL REVIEW A, 1994, 50 (05) :3627-3637

[4] ELECTRONS IN A CRYSTAL-LATTICE - A SIMPLE COMPUTER-MODEL [J].

JOHNSTON, ID ;

SEGAL, D .

AMERICAN JOURNAL OF PHYSICS, 1992, 60 (07) :600-607

[5] A NEW APPROACH TO ONE-DIMENSIONAL SCATTERING [J].

KALOTAS, TM ;

LEE, AR .

AMERICAN JOURNAL OF PHYSICS, 1991, 59 (01) :48-52

[6] A NEW MATRIX-METHOD FOR TUNNELLING IN HETEROSTRUCTURES - GAMMA, X EFFECTS IN SINGLE-BARRIER SYSTEMS [J].

KO, DYK ;

INKSON, JC .

SEMICONDUCTOR SCIENCE AND TECHNOLOGY, 1988, 3 (08) :791-796

[7] REFLECTIONS IN ONE-DIMENSIONAL WAVE MECHANICS [J].

LANDAUER, R .

PHYSICAL REVIEW, 1951, 82 (01) :80-83

[8] RESONANT TUNNELING THROUGH A SYMMETRICAL TRIPLE-BARRIER STRUCTURE [J].

LEO, J ;

TOOMBS, GA .

PHYSICAL REVIEW B, 1991, 43 (12) :9944-9946

[9] POLYNOMIAL FORMULATION OF REFLECTION AND TRANSMISSION BY STRATIFIED PLANAR STRUCTURES [J].

VIGOUREUX, JM .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1991, 8 (11) :1697-1701

[10] THE REFLECTION OF LIGHT BY PLANAR STRATIFIED MEDIA - THE GROUPOID OF AMPLITUDES AND A PHASE THOMAS PRECESSION [J].

VIGOUREUX, JM .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (02) :385-393

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