Intertwining operators between different Hilbert spaces: Connection with frames

DOI10.1063/1.3094758zbMath1215.81034arXiv0904.0203OpenAlexW1978596225MaRDI QIDQ3650519

Fabio Bagarello

Publication date: 14 December 2009

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

Full work available at URL: https://arxiv.org/abs/0904.0203

zbMATH Keywords

quantum theoryHilbert spaceseigenvalues and eigenfunctionsmathematical operators

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Coherent states (81R30) General harmonic expansions, frames (42C15) Applications of functional analysis in quantum physics (46N50)

Related Items (11)

Weak pseudo-bosons ⋮ Unnamed Item ⋮ Non-isospectral Hamiltonians, intertwining operators and hidden hermiticity ⋮ Examples of pseudo-bosons in quantum mechanics ⋮ Pseudo-bosons, so far ⋮ Quons, coherent states and intertwining operators ⋮ Two-parameters pseudo-bosons ⋮ Intertwining operators for non-self-adjoint Hamiltonians and bicoherent states ⋮ Pseudobosons, Riesz bases, and coherent states ⋮ Construction of pseudobosons systems ⋮ Modified Landau levels, damped harmonic oscillator, and two-dimensional pseudo-bosons

Cites Work

• Unnamed Item
• Extended SUSY quantum mechanics, intertwining operators and coherent states
• \(g\)-frames and \(g\)-Riesz bases
• Supersymmetric associated vector coherent states and generalized Landau levels arising from two-dimensional supersymmetry
• Vector coherent states and intertwining operators
• Ten Lectures on Wavelets
• Exactly solvable potentials and quantum algebras
• Quantum Mechanical Spectral Engineering by Scaling Intertwining
• Two families of superintegrable and isospectral potentials in two dimensions

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