3 papers
quant-ph2026
A Generalization of the Parametric Amplifier with Dunkl Derivative: Spectral and Statistical Properties
D. Ojeda Guillén, R. D. Mota, J. C. Vega
We study the parametric amplifier Hamiltonian within the framework of the Dunkl formalism. We introduce the Dunkl creation and annihilation operators and show that their quadratic…
quant-ph2024
Exact solution of the isotropic and anisotropic Hamiltonian of two coupled harmonic oscillators
J. C. Vega, D. Ojeda-Guillén, R. D. Mota
We study the isotropic and anisotropic Hamiltonian of two coupled harmonic oscillators from an algebraic approach of the and groups. In order to obtain the energy…
quant-ph2024
approach and the Mandel parameter to the Hamiltonian of two oscillators with weak coupling
J. C. Vega, D. Ojeda-Guillén, R. D. Mota
We study the Hamiltonian of two isotropic oscillators with weak coupling from an algebraic approach. We write the Hamiltonian of this problem in terms of the boson generators of th…