Darboux transformations in integral and differential forms for generalized Schroedinger equations

Journal Article · Fri Jul 15 00:00:00 EDT 2011 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778811060287· OSTI ID:22043882

Velicheva, E P ^[1]

---

1. Joint Institute for Nuclear Research (Russian Federation)

The Darboux transformation operator technique is applied to the generalized Schroedinger equation with a position-dependent effective mass and with linearly energy-dependent potentials. Intertwining operators are obtained in an explicit form and used for constructing generalized Darboux transformations. An interrelation is established between the differential and integral transformation operators. It is shown how to construct the quantum well potentials in nanoelectronic with a given spectrum.

• OSTI ID: 22043882
• Journal Information: Physics of Atomic Nuclei, Vol. 74, Issue 7; Other Information: Copyright (c) 2011 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
EFFECTIVE MASS
ENERGY DEPENDENCE
INTEGRAL TRANSFORMATIONS
INTEGRALS
POTENTIALS
QUANTUM OPERATORS
QUANTUM WELLS
SCHROEDINGER EQUATION