Factorization method and new potentials from the inverted oscillator
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Publication:2442878
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
Supersymmetry and quantum mechanics (81Q60) Special quantum systems, such as solvable systems (81Q80)
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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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