A New Exactly Solvable Superpotential

被引：0
|
作者：
Kelner, S. R. [1 ]
Maltsev, I. A. [1 ]
Tikhonov, G. Yu [1 ]
Yakovlev, V. P. [1 ]
机构：
[1] Moscow Engn Phys Inst, Moscow 115409, Russia
来源：
LASER PHYSICS | 1993年 / 3卷 / 03期
关键词：
D O I：
暂无
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
A new superpotential allowing an exact solution of the Schrodinger equation is found. The solution is constructed by both an algebraic method based on the supersymmetry of the problem, and direct reduction to the Riemann P-equation. Transition amplitudes for a two-level system in the resonant field with a varying amplitude and also spectra and coefficients of reflection and transmission for the corresponding one-dimensional Schrodinger equation are derived.
引用
收藏
页码：623 / 628
页数：6
相关论文
共 50 条
  • [21] 3 NEW, EXACTLY SOLVABLE MODELS IN THE COAGULATION THEORY
    LUSHNIKOV, AA
    PISKUNOV, VN
    DOKLADY AKADEMII NAUK SSSR, 1982, 267 (01): : 132 - 136
  • [22] The new identity for the scattering matrix of exactly solvable models
    V. Korepin
    N. Slavnov
    The European Physical Journal B - Condensed Matter and Complex Systems, 1998, 5 : 555 - 557
  • [23] EXACTLY SOLVABLE MODELS AND NEW LINK POLYNOMIALS - REPLY
    WADATI, M
    AKUTSU, Y
    DEGUCHI, T
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1988, 57 (08) : 2868 - 2868
  • [24] A new exactly solvable quantum model in N dimensions
    Ballesteros, Angel
    Enciso, Alberto
    Herranz, Francisco J.
    Ragnisco, Orlando
    Riglioni, Danilo
    PHYSICS LETTERS A, 2011, 375 (12) : 1431 - 1435
  • [25] The new identity for the scattering matrix of exactly solvable models
    Korepin, V
    Slavnov, N
    EUROPEAN PHYSICAL JOURNAL B, 1998, 5 (03): : 555 - 557
  • [26] NEW EXAMPLES OF EXACTLY SOLVABLE PROBLEMS OF NONLINEAR OPTICS
    MAIMISTOV, AI
    OPTIKA I SPEKTROSKOPIYA, 1984, 57 (03): : 564 - 566
  • [27] New Quasi-Exactly Solvable Difference Equation
    Ryu Sasaki
    Journal of Nonlinear Mathematical Physics, 2008, 15 : 373 - 384
  • [28] New exactly and conditionally exactly solvable N-body problems in one dimension
    Gurappa, N
    Kumar, CN
    Panigrahi, PK
    MODERN PHYSICS LETTERS A, 1996, 11 (21) : 1737 - 1744
  • [29] Construction of solvable non-central potential using vector superpotential: a new approach
    Rajendrasinh H. Parmar
    Indian Journal of Physics, 2019, 93 : 1163 - 1170
  • [30] A new exactly solvable inflation model and its power spectrum
    Li, XZ
    Liu, DJ
    Hao, JG
    CHINESE PHYSICS LETTERS, 2003, 20 (02) : 192 - 194
12345