Generalized Bogoliubov transformations versus D-pseudo-bosons

DOI10.1063/1.4933242zbMath1325.81087arXiv1510.00963OpenAlexW3101830201MaRDI QIDQ3450567

Fabio Bagarello, Andreas Fring

Publication date: 6 November 2015

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

Full work available at URL: https://arxiv.org/abs/1510.00963

Mathematics Subject Classification ID

Quantum stochastic calculus (81S25) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (4)

On the presence of families of pseudo-bosons in nilpotent Lie algebras of arbitrary corank ⋮ Biorthogonal quantum mechanics for non-Hermitian multimode and multiphoton Jaynes-Cummings models ⋮ A no-go result for the quantum damped harmonic oscillator ⋮ From pseudo-bosons to pseudo-Hermiticity via multiple generalized Bogoliubov transformations

Cites Work

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• Examples of pseudo-bosons in quantum mechanics
• Quasi-Hermitian operators in quantum mechanics and the variational principle
• On a new method in the theory of superconductivity
• Pseudospectra in non-Hermitian quantum mechanics
• On Complete Biorthogonal Systems
• Pseudo–spectra, the harmonic oscillator and complex resonances
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Transition elements for a non-Hermitian quadratic Hamiltonian
• Pseudobosons, Riesz bases, and coherent states
• More mathematics for pseudo-bosons
• Non-Hermitian Hamiltonians of Lie algebraic type
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

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