Using polynomial algebra and deformed-oscillator methods, researchers derived the exact spectrum and complete representations for a three-dimensional oscillator with two coupled spin-1/2 particles.
@informaq.bsky.social
@informaq.bsky.socialUsing polynomial algebra and deformed-oscillator methods, researchers derived the exact spectrum and complete representations for a three-dimensional oscillator with two coupled spin-1/2 particles.
@informaq.bsky.socialWe present a unified factorization framework for driven anisotropic Rabi-Stark Hamiltonians using affine spin-pencil theory. The method yields exact zero-energy ground states and determines exceptional parameter values for finite-polynomial eigenstates.
@informaq.bsky.socialUnified algebraic framework reveals Holstein-Primakoff and Dyson-Maleev transformations emerge as factorizations of the same structure, bridging spin algebra and bosonic representations—advancing understanding of quantum magnetism, simulation, and computing.