Bosonic quasideterminants and eigenvalue problems of generalized spin-orbit operators

DOI10.1063/1.2840948zbMath1153.81319OpenAlexW2067468658MaRDI QIDQ3544634

Mahouton Norbert Hounkonnou, Joseph Ben Geloun

Publication date: 8 December 2008

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

Full work available at URL: https://doi.org/10.1063/1.2840948

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (1)

q -graded Heisenberg algebras and deformed supersymmetries

Cites Work

• Quasideterminants
• Jaynes-Cummings model and the deformed-oscillator algebra
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Canonical and nonlinear vector coherent states of generalized models with spin-orbit interaction
• A (p, q)-oscillator realization of two-parameter quantum algebras
• Bose realization of a non-canonical Heisenberg algebra
• General sets of coherent states and the Jaynes$ndash$Cummings model
• SPIN HALL EFFECT
• A GENERALIZED JAYNES–CUMMINGS MODEL: NONLINEAR DYNAMICAL SUPERALGEBRA u(1/1) AND SUPERCOHERENT STATES
• Spin-Orbit Coupling Effects in Zinc Blende Structures

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