Exact solution for the ground state of a confined potential

被引：0
|
作者：
Varshni, YP [1 ]
机构：
[1] Univ Ottawa, Dept Phys, Ottawa, ON K1N 6N5, Canada
来源：
CANADIAN JOURNAL OF PHYSICS | 1997年 / 75卷 / 12期
关键词：
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
An Ansatz for the wave function is used to obtain an exact solution for the ground-state energy for the potential V(r) = ar(2) + br(-4) + cr(-6) in an impenetrable spherical box, provided a certain constraint is satisfied between the potential parameters, a, b, and c. Two types of solution are shown to exist. Results are obtained for several sets of potential parameters.
引用
收藏
页码：907 / 912
页数：6
相关论文
共 50 条
  • [1] Exact Analytical Solution of the Ground-State Hydrogenic Problem with Soft Coulomb Potential
    Li, Chen
    JOURNAL OF PHYSICAL CHEMISTRY A, 2021, 125 (23): : 5146 - 5151
  • [2] Exact analytical ground state solution of 1D H2+ with soft Coulomb potential
    Li, Chen
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2022, 60 (01) : 184 - 194
  • [3] Extended Falicov-Kimball model: Exact solution for the ground state
    Lemanski, Romuald
    Kapcia, Konrad Jerzy
    Robaszkiewicz, Stanislaw
    PHYSICAL REVIEW B, 2017, 96 (20)
  • [4] EXACT DENSITY-POTENTIAL RELATION FOR THE GROUND-STATE OF THE BE ATOM
    MARCH, NH
    NALEWAJSKI, RF
    PHYSICAL REVIEW A, 1987, 35 (02): : 525 - 528
  • [5] EXACT GROUND-STATE SOLUTION FOR ANYONS WITH SPIN-1/2
    SHEN, SQ
    CAI, J
    TAO, RB
    COMMUNICATIONS IN THEORETICAL PHYSICS, 1992, 17 (01) : 107 - 110
  • [6] EXACT NUMERICAL SOLUTION OF A 3-BODY GROUND-STATE PROBLEM
    BAKER, GA
    GAMMEL, JL
    HILL, BJ
    WILLS, JG
    PHYSICAL REVIEW, 1962, 125 (05): : 1754 - &
  • [7] EXACT POTENTIAL-PHASE RELATION FOR THE GROUND-STATE OF THE C ATOM
    NAGY, A
    MARCH, NH
    PHYSICAL REVIEW A, 1989, 40 (02): : 554 - 557
  • [8] Ground state of a confined Yukawa plasma
    Henning, C.
    Baumgartner, H.
    Piel, A.
    Ludwig, P.
    Golubnichiy, V.
    Bonitz, M.
    Block, D.
    PHYSICAL REVIEW E, 2006, 74 (05):
  • [9] Analytic solution of ground state for Coulomb plus linear potential
    Zhao, WQ
    Jü, CS
    HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION, 2002, 26 (04): : 299 - 304
  • [10] Ground state solution for critical Schrodinger equation with harmonic potential
    Su, Yu
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 518 (01)
12345