Regular biorthogonal pairs and pseudo-bosonic operators

DOI10.1063/1.4960476zbMath1344.81178arXiv1605.06269OpenAlexW2404313074MaRDI QIDQ2820924

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Publication date: 12 September 2016

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

Full work available at URL: https://arxiv.org/abs/1605.06269

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (9)

Order structures of \((\mathcal{D,E})\)-quasi-bases and constructing operators for generalized Riesz systems ⋮ Gibbs states, algebraic dynamics and generalized Riesz systems ⋮ Ordered structures of constructing operators for generalized Riesz systems ⋮ Non-self-adjoint Hamiltonians defined by sesquilinear forms and their physical applications ⋮ Biorthogonal vectors, sesquilinear forms, and some physical operators ⋮ Towards generalized Riesz systems theory ⋮ Generalized Riesz systems and quasi bases in Hilbert space ⋮ Semi-regular biorthogonal pairs and generalized Riesz bases ⋮ An algebraic approach of non-self-adjoint Hamiltonians in Krein spaces

Cites Work

• Non-self-adjoint Hamiltonians defined by generalized Riesz bases
• General theory of regular biorthogonal pairs and its physical operators
• PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
• (Regular) pseudo-bosons versus bosons
• Non-Hermitian Quantum Mechanics of Bosonic Operators
• Pseudobosons, Riesz bases, and coherent states
• More mathematics for pseudo-bosons
• Non-self-adjoint hamiltonians defined by Riesz bases
• Unnamed Item

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