Exact diagonalization of non-Hermitian so(3,2) models: Generalized two-mode boson systems

DOI10.1063/1.4972022zbMath1353.81056OpenAlexW2563358281MaRDI QIDQ2951740

Hong-Biao Zhang, Gangcheng Wang

Publication date: 9 January 2017

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

Full work available at URL: https://doi.org/10.1063/1.4972022

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Phase transitions (general) in equilibrium statistical mechanics (82B26) Many-body theory; quantum Hall effect (81V70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Coherent states (81R30) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Cites Work

• Non-Hermitian Hamiltonians with unitary and antiunitary symmetries
• Generalized Hellmann-Feynman theorem for coupled anisotropic two-mode Boson system
• Fock space representations for non-Hermitian Hamiltonians
• Squeezed Number State Solutions of Generalized Two-Mode Harmonic Oscillators Model: an Algebraic Approach
• A Remarkable Representation of the 3 + 2 de Sitter Group
• Unified algebraic method to non-Hermitian systems with Lie algebraic linear structure
• Mathematical methods of quantum optics

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