Modified Darboux transformations with foreign auxiliary equations

作者：Schulze Halberg Axel^*

来源：Physics Letters A, 2011, 375(25): 2513-2518.

DOI：10.1016/j.physleta.2011.05.033

• Darboux transformation
• Foreign auxiliary equation
• Energy-dependent potential

We construct a new type of first-order Darboux transformations for the stationary Schrodinger equation. In contrast to the conventional case, our Darboux transformations support arbitrary (foreign) auxiliary equations. We show that among other applications, our formalism can be used to systematically construct Darboux transformation's for Schrodinger equations with energy-dependent potentials, including a recent result (Lin et al., 2007) [16] as a special case.

• 出版日期2011-6-20