SEMICLASSICAL LIMIT OF SCATTERING LENGTH

被引:5
|
作者
TAMURA, H
机构
[1] Department of Mathematics, Ibaraki University, Mito, Ibaraki
关键词
Mathematics Subject Classification (1991): 35Pxx;
D O I
10.1007/BF00402895
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
For scattering by a finite range potential, it is shown that the scattering length is convergent to the capacity of the support of the finite range potential in the semi-classical limit. This result has been already proved by use of probabilistic methods. Here we give an alternative proof without using any probabilistic idea. The proof is purely analytical and very simple.
引用
收藏
页码:205 / 209
页数:5
相关论文
共 50 条
  • [21] ERGODICITY AND THE SEMICLASSICAL LIMIT ON THE TORUS
    BOUZOUINA, A
    DEBIEVRE, S
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1995, 321 (08): : 1085 - 1087
  • [22] SPIN TUNNELING IN THE SEMICLASSICAL LIMIT
    ENZ, M
    SCHILLING, R
    JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1986, 19 (11): : 1765 - 1770
  • [23] Semiclassical limit for a truncated Hamilton
    Castilho, C
    deAlmeida, AMO
    CHAOS, 1996, 6 (02) : 172 - 183
  • [24] COULOMBIC POTENTIALS IN THE SEMICLASSICAL LIMIT
    CHANTELAU, K
    LETTERS IN MATHEMATICAL PHYSICS, 1990, 19 (04) : 285 - 298
  • [25] ON THE SEMICLASSICAL LIMIT OF BERRYS PHASE
    GERARD, C
    ROBERT, D
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1990, 310 (09): : 677 - 682
  • [26] The semiclassical limit of scar intensities
    Vergini, Eduardo G.
    EPL, 2015, 110 (01)
  • [27] SEMICLASSICAL LIMIT OF HUSIMI FUNCTION
    Emamirad, Hassan
    Rogeon, Philippe
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2013, 6 (03): : 669 - 676
  • [28] THE MOURRE ESTIMATE IN THE SEMICLASSICAL LIMIT
    GRAF, GM
    LETTERS IN MATHEMATICAL PHYSICS, 1990, 20 (01) : 47 - 54
  • [29] MULTIPLE RESONANCES IN THE SEMICLASSICAL LIMIT
    KAIDI, N
    ROULEUX, M
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 133 (03) : 617 - 634
  • [30] SEMICLASSICAL CROSSING SYMMETRY FOR SEMICLASSICAL SOLITON SCATTERING
    COLEMAN, S
    PHYSICAL REVIEW D, 1975, 12 (06): : 1650 - 1652