Factorization method and new potentials from the inverted oscillator

DOI10.1016/j.aop.2013.02.015zbMath1284.81142arXiv1206.4519OpenAlexW3101245455MaRDI QIDQ2442878

David Bermudez, David J. Fernández C.

Publication date: 1 April 2014

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.4519

zbMATH Keywords

harmonic oscillatorsupersymmetric quantum mechanicsDarboux transformationsinverted oscillator

Mathematics Subject Classification ID

Supersymmetry and quantum mechanics (81Q60) Special quantum systems, such as solvable systems (81Q80)

Related Items (12)

Swanson Hamiltonian: non-PT-symmetry phase ⋮ On the diagonalization of quadratic Hamiltonians ⋮ Complex oscillator and Painlevé IV equation ⋮ Wronskian differential formula for \(k\)-confluent SUSY QM ⋮ Non-perturbative quantum geometry. III ⋮ The confluent supersymmetry algorithm for Dirac equations with pseudoscalar potentials ⋮ Interactions resolve state-dependence in a toy-model of AdS black holes ⋮ Recursive representation of Wronskians in confluent supersymmetric quantum mechanics ⋮ Non-Hermitian inverted harmonic oscillator-type Hamiltonians generated from supersymmetry with reflections ⋮ The generalized confluent supersymmetry algorithm: Representations and integral formulas ⋮ Trends in Supersymmetric Quantum Mechanics ⋮ Anti- \(\mathcal{PT}\)-symmetric harmonic oscillator and its relation to the inverted harmonic oscillator

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