Estimate from below for the x2 y4 potential and closely related potentials

被引：0
|
作者：
Camus, Brice [1 ]
机构：
[1] Univ Munich, Math Inst, Theresienstr 39, D-80803 Munich, Germany
来源：
ANALYSIS AND MATHEMATICAL PHYSICS | 2016年 / 6卷 / 01期
关键词：
Ground-state energy; Schrodinger operators; Spectral estimates; OPERATORS;
D O I：
10.1007/s13324-015-0106-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a lower bound on the ground-state energy for the 2-dimensional Schrodinger operator with non-confining potential x(2)y(4) on R-2. A method for potentials in dimension n > 2 with similar scaling properties is given.
引用
收藏
页码：59 / 66
页数：8
相关论文
共 50 条
  • [41] 关于丢番图方程X2-（a2+1）Y4=35-12a的讨论
    管训贵
    浙江大学学报(理学版), 2016, 43 (02) : 138 - 143
  • [42] On the system of Pell equations x2 - (a2b2±a)y2 = 1 and y2 - pz2 = 4b2
    Rihane, Salah E.
    Tchammou, Euloge B.
    Togbe, Alain
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2021, 52 (01): : 224 - 230
  • [43] ON THE DIOPHANTINE EQUATION (2Y2-3)2=X2(3X2-2) IN CONNECTION WITH THE EXISTENCE OF NONTRIVIAL TIGHT 4-DESIGNS
    STROEKER, RJ
    PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1981, 84 (03): : 353 - 358
  • [44] Deciphering the Origin and Evolution of the X1X2Y System in Two Closely-Related Oplegnathus Species (Oplegnathidae and Centrarchiformes)
    Xu, Dongdong
    Sember, Alexandr
    Zhu, Qihui
    de Oliveira, Ezequiel Aguiar
    Liehr, Thomas
    Al-Rikabi, Ahmed B. H.
    Xiao, Zhizhong
    Song, Hongbin
    Cioffi, Marcelo de Bello
    INTERNATIONAL JOURNAL OF MOLECULAR SCIENCES, 2019, 20 (14)
  • [45] TUNNELING SPLITTINGS IN MODEL 2D POTENTIALS .1. V(X, Y) = V(0)(Y(2)-Y(0)2)(2)+1/2-OMEGA(1)2X(2)+1/4-ALPHA-X(4)+CX(2)Y(2)
    BENDERSKII, VA
    GREBENSHCHIKOV, SY
    MILNIKOV, GV
    VETOSHKIN, EV
    CHEMICAL PHYSICS, 1994, 188 (01) : 19 - 31
  • [46] Gender dependent neuroregulation of bone mass: Evidence from the neuropeptide YY2/Y4 double knockout mouse
    Baldock, PA
    Sainsbury, A
    Enriquez, RF
    Couzens, M
    Herzog, H
    Gardiner, EM
    JOURNAL OF BONE AND MINERAL RESEARCH, 2003, 18 : S27 - S27
  • [47] Evidence from knockout mice for distinct implications of neuropeptide-Y Y2 and Y4 receptors in the circadian control of locomotion, exploration, water and food intake
    Edelsbrunner, M. E.
    Painsipp, E.
    Herzog, H.
    Holzer, P.
    NEUROPEPTIDES, 2009, 43 (06) : 491 - 497
  • [48] TENTATIVELY STANDARDIZED SYMMETRY COORDINATES FOR VIBRATIONS OF POLYATOMIC MOLECULES .3. SYMMETRICAL X2Y4 MODELS WITH SOME RELATED WX2Y4 AND W2X2Y4
    CYVIN, BN
    CYVIN, SJ
    HAGEN, G
    ELVEBRED.I
    BRUNVOLL, J
    ZEITSCHRIFT FUR NATURFORSCHUNG PART A-ASTROPHYSIK PHYSIK UND PHYSIKALISCHE CHEMIE, 1969, A 24 (04): : 643 - &
  • [49] Construction of global ab initio potential energy surfaces for the HNS system and quantum dynamics calculations for the S(3P) + NH(X3Σ) → NS(X2Π) + H(2S) and N(4S) + SH(X2Π) → NS(X2Π) + H(2S) reactions
    Sato, Kazuma
    Takayanagi, Toshiyuki
    CHEMICAL PHYSICS, 2014, 439 : 63 - 70
  • [50] Levi and Malcev Theorems for Finite-Dimensional Algebras from the Variety Defined by the Identities x2 = J( x,y, zu) =0
    Garza, Oscar Guajardo
    Rasskazova, Marina
    Sabinina, Liudmila
    ALGEBRA COLLOQUIUM, 2021, 28 (01) : 87 - 90
12345