Published March 10, 2017 | Version v1
Journal article Metadata-only

Recursive representation of Wronskians in confluent supersymmetric quantum mechanics

Creators

  • 1. Department of Mathematics and Actuarial Science and Department of Physics, Indiana University Northwest, 3400 Broadway, Gary, IN 46408, United States of America (United States)

Description

A recursive form of arbitrary-order Wronskian associated with transformation functions in the confluent algorithm of supersymmetric quantum mechanics (SUSY) is constructed. With this recursive form regularity conditions for the generated potentials can be analyzed. Moreover, as byproducts we obtain new representations of solutions to Schrödinger equations that underwent a confluent SUSY-transformation. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8121/aa59b9

Additional details

Identifiers

DOI
10.1088/1751-8121/aa59b9;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
50
Journal Issue
10
Journal Page Range
[15 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
48101014
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGORITHMS; FUNCTIONS; MATHEMATICAL SOLUTIONS; POTENTIALS; QUANTUM MECHANICS; SCHROEDINGER EQUATION; SUPERSYMMETRY; TRANSFORMATIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL LOGIC; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; SYMMETRY; WAVE EQUATIONS