95 citations · 2.4k across the 176 of their papers we have counts for
10 papers · 1 filter
Quasi-exactly solvable relativistic soft-core Coulomb models
Davids Agboola, Yao-Zhong Zhang
By considering a unified treatment, we present quasi exact polynomial solutions to both the Klein-Gordon and Dirac equations with the family of soft-core Coulomb potentials $V_q(r)…
Exact solutions to relativistic singular fractional power potentials
Davids Agboola, Yao-Zhong Zhang
We present (exact) solutions of the Dirac equation with equally mixed interactions for a single fermion bounded by the family of fractional power singular potentials. Closed-form e…
Entropic uncertainty relations under the relativistic motion
Jun Feng, Yao-Zhong Zhang, Mark D. Gould +1
The uncertainty principle bounds our ability to simultaneously predict two incompatible observables of a quantum particle. Assisted by a quantum memory to store the particle, this…
Construction of Basis Vectors For Symmetric Irreducible Representations of O(5) supset O(3)
Feng Pan, Lina Bao, Yao-Zhong Zhang +1
A recursive method for construction of symmetric irreducible representations of O(2l+1) in the O(2l + 1) supset O(3) basis for identical boson systems is proposed. The formalism is…
The Heine-Stieltjes correspondence and a new angular momentum projection for many-particle systems
Feng Pan, Bo Li, Yao-Zhong Zhang +1
A new angular momentum projection for systems of particles with arbitrary spins is formulated based on the Heine-Stieltjes correspondence, which can be regarded as the solutions of…
Nichols algebras over classical Weyl groups, Fomin-Kirillov algebras and Lyndon basis
Shouchuan Zhang, Weicai Wu, Zhengtang Tan +1
We show that except in several cases conjugacy classes of classical Weyl groups and are of type {\rm D}. We prove that except in three cases Nichols algebras of i…
BCS model with asymmetric pair scattering: a non-Hermitian, exactly solvable Hamiltonian exhibiting generalised exclusion statistics
Jon Links, Amir Moghaddam, Yao-Zhong Zhang
We demonstrate the occurrence of free quasi-particle excitations obeying generalised exclusion statistics in a BCS model with asymmetric pair scattering. The results are derived fr…
On analytic solutions of the driven, 2-photon and two-mode quantum Rabi models
Yao-Zhong Zhang
By applying the Bogoliubov transformations and through the introduction of the Bargmann-Hilbert spaces, we obtain analytic representations of solutions to the driven Rabi model wit…
On the solvability of the quantum Rabi model and its 2-photon and two-mode generalizations
Yao-Zhong Zhang
We study the solvability of the time-independent matrix Schrödinger differential equations of the quantum Rabi model and its 2-photon and two-mode generalizations in Bargmann Hilbe…
Solving two-mode squeezed harmonic oscillator and th-order harmonic generation in Bargmann-Hilbert spaces
Yao-Zhong Zhang
We analyze the two-mode squeezed harmonic oscillator and the th-order harmonic generation within the framework of Bargmann-Hilbert spaces of entire functions. For the displaced,…