Constructive proof of the existence of bound state in one dimension

被引：0
|
作者：
Hiroshi Ezawa
机构：
[1] Gakushuin University,Department of Physics
来源：
Foundations of Physics | 1997年 / 27卷
关键词：
Phase Function; Anharmonic Oscillator; Schr6dinger Equation; Attractive Potential; Constructive Proof;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A proof is given for the theorem that at least one bound state exists in a one-dimensional attractive potential however weak it may be. The proof is constructive in that it provides a method to explicitly solve the eigenvalue problem for the eigenvalues as well as the eigenfunctions. The method is well suited to precise numerical calculations.
引用
收藏
页码：1495 / 1509
页数：14
相关论文
共 50 条
  • [1] Constructive proof of the existence of bound state in one dimension
    Ezawa, H
    [J]. FOUNDATIONS OF PHYSICS, 1997, 27 (11) : 1495 - 1509
  • [2] Constructive Proof of the Existence of Bound State in One Dimension
    [J]. Found Phys, 11 (1495):
  • [3] Criterion for existence of a bound state in one dimension
    Brownstein, KR
    [J]. AMERICAN JOURNAL OF PHYSICS, 2000, 68 (02) : 160 - 161
  • [4] A CONSTRUCTIVE PROOF OF THE EXISTENCE OF A SEMI-CONJUGACY FOR A ONE DIMENSIONAL MAP
    Ou, Dyi-Shing
    Palmer, Kenneth James
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2012, 17 (03): : 977 - 992
  • [5] A Constructive Proof of the Existence of Viterbi Processes
    Lember, Jueri
    Koloydenko, Alexey Alexandrovich
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2010, 56 (04) : 2017 - 2033
  • [6] A new proof of existence of a bound state in the quantum coulomb field
    Staruszkiewicz, A
    [J]. ACTA PHYSICA POLONICA B, 2004, 35 (09): : 2249 - 2259
  • [7] Habemus superstratum! A constructive proof of the existence of superstrata
    Bena, Iosif
    Giusto, Stefano
    Russo, Rodolfo
    Shigemori, Masaki
    Warner, Nicholas P.
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2015, (05):
  • [8] A constructive existence proof for the extreme stokes wave
    Fraenkel, L. E.
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2007, 183 (02) : 187 - 214
  • [9] Notes on a ‘Constructive Proof of the Existence of a Collateral Equilibrium’
    Venkatachalam Ragupathy
    K. Vela Velupillai
    [J]. Computational Economics, 2016, 48 : 179 - 181
  • [10] Notes on a 'Constructive Proof of the Existence of a Collateral Equilibrium'
    Ragupathy, Venkatachalam
    Velupillai, K. Vela
    [J]. COMPUTATIONAL ECONOMICS, 2016, 48 (01) : 179 - 181
12345