Name
Title | ||
|---|---|---|
Analytic solutions, Darboux transformation operators and supersymmetry for a generalized one-dimensional time-dependent Schrödinger equation. |
Abstract | ||
|---|---|---|
In this paper, analytically investigated is a generalized one-dimensional time-dependent Schrödinger equation. Using Darboux transformation operator technique, we construct the first-order Darboux transformation and the real-valued condition of transformed potential for the generalized Schrödinger equation. To prove the equivalence of the supersymmetry formalism and the Darboux transformation, we investigate the relationship among first-order Darboux transformation, supersymmetry and factorization of the corresponding effective mass Hamiltonian. Furthermore, the nth-order Darboux transformations are constructed by means of different method. Finally, by using Darboux transformation, some analytical solutions are generated in a recursive manner for some examples of the Schrödinger equation. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.amc.2012.01.009 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Analytic solution,Generalized Schrödinger equation,Darboux transformation,Supersymmetry,Hopf–Cole transformation,Transformed potential,Hamiltonian | Hamiltonian (quantum mechanics),Mathematical analysis,Darboux integral,Schrödinger equation,Supersymmetry,Equivalence (measure theory),Operator (computer programming),Factorization,Darboux's theorem,Mathematics | Journal |
Volume | Issue | ISSN |
218 | 13 | 0096-3003 |
Citations | PageRank | References |
6 | 0.65 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shou-Fu Tian | 1 | 99 | 10.22 |
| Sheng-Wu Zhou | 2 | 6 | 1.66 |
| Wu-You Jiang | 3 | 6 | 0.65 |
| Hongqing Zhang | 4 | 138 | 48.35 |