Darboux transformations for time-dependent Schrodinger equations with effective mass

被引：29
|
作者：
Schulze-Halberg, A [1 ]
机构：
[1] ETH Zentrum, Dept Math, Swiss Fed Inst Technol, CH-8092 Zurich, Switzerland
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2006年 / 21卷 / 06期
关键词：
Darboux transformation; time-dependent Schrodinger equation; effective mass; solvable potential;
D O I：
10.1142/S0217751X06025389
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
The formalism of Darboux transformations is established for time-dependent Schrodinger equations with an effective (position-dependent) mass. Explicit formulas axe obtained for the transformed wave function and the difference between the original and the transformed potential. It is shown that for a noneffective mass our Darboux transformation reduces correctly to the well-known Darboux transformation.
引用
收藏
页码：1359 / 1377
页数：19
相关论文
共 50 条
  • [41] Optimization of explicit symplectic schemes for time-dependent Schrodinger equations
    Liu, XY
    Ding, PZ
    Hong, JL
    Wang, LJ
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 50 (3-4) : 637 - 644
  • [42] Exact solutions of time-dependent Schrodinger equations and geometric phase
    Suzko, AA
    Velicheva, EP
    PHYSICS OF ATOMIC NUCLEI, 1998, 61 (10) : 1773 - 1777
  • [43] UNITARY DETERMINANTAL SOLUTION OF TIME-DEPENDENT SCHRODINGER-EQUATIONS
    FORTINI, A
    PHYSICAL REVIEW A, 1981, 23 (02): : 395 - 407
  • [44] PHASE FACTORS IN BASES FOR SOLUTIONS OF TIME-DEPENDENT SCHRODINGER EQUATIONS
    PAULI, HC
    WILETS, L
    ZEITSCHRIFT FUR PHYSIK A-HADRONS AND NUCLEI, 1976, 277 (01): : 83 - 88
  • [45] Variational approach to the time-dependent Schrodinger-Newton equations
    Manfredi, Giovanni
    Hervieux, Paul-Antoine
    Haas, Fernando
    CLASSICAL AND QUANTUM GRAVITY, 2013, 30 (07)
  • [46] Solutions for One-Dimensional Time-Dependent Schrodinger Equations
    Jiang, Tongsong
    Wang, Xiaolei
    Zhang, Zhaozhong
    INFORMATION COMPUTING AND APPLICATIONS, PT 2, 2012, 308 : 371 - 378
  • [47] Effective Potential from the Generalized Time-Dependent Schrodinger Equation
    Sandev, Trifce
    Petreska, Irina
    Lenzi, Ervin K.
    MATHEMATICS, 2016, 4 (04)
  • [48] Dynamics of the free time-dependent effective mass
    Patra, Pinaki
    Chowdhury, Aditi
    Jana, Milan
    EUROPEAN PHYSICAL JOURNAL PLUS, 2022, 137 (09):
  • [49] Dynamics of the free time-dependent effective mass
    Pinaki Patra
    Aditi Chowdhury
    Milan Jana
    The European Physical Journal Plus, 137
  • [50] Time-dependent Darboux transformation and supersymmetric hierarchy of Fokker-Planck equations
    Ho, Choon-Lin
    CHINESE JOURNAL OF PHYSICS, 2022, 77 : 1903 - 1911
12345