Second-order supersymmetric operators and excited states

DOI10.1088/1751-8113/43/38/385309zbMath1198.81079arXiv1007.5116OpenAlexW2001323664MaRDI QIDQ3161113

Micheal S. Berger, Nail Sh. Ussembayev

Publication date: 11 October 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.5116

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Supersymmetry and quantum mechanics (81Q60) Quantum measurement theory, state operations, state preparations (81P15)

Cites Work

• Unnamed Item
• Unnamed Item
• Factorization method in quantum mechanics
• Nonuniqueness of the factorization scheme in quantum mechanics
• Multiple parameter structure of Mielnik's isospectrality in unbroken SUSYQM
• Polynomial SUSY in quantum mechanics and second derivative Darboux transformations
• SUSY intertwining relations of third order in derivatives
• Wronskian formula for confluent second-order supersymmetric quantum mechanics
• SECOND ORDER DERIVATIVE SUPERSYMMETRY, q DEFORMATIONS AND THE SCATTERING PROBLEM
• Factorization method and new potentials with the oscillator spectrum
• Factorization solution of a family of quantum nonlinear oscillators
• Factorization: little or great algorithm?
• Supersymmetric quantum mechanics based on higher excited states
• The confluent algorithm in second-order supersymmetric quantum mechanics
• A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator

This page was built for publication: Second-order supersymmetric operators and excited states