11 citations · 29 across the 17 of their papers we have counts for
17 papers
Analytical Solutions to Asymmetric Two-Photon Rabi Model
M. Baradaran, L. M. Nieto, S. Zarrinkamar
Within the Segal-Bargmann representation, a generalized Rabi model is considered that includes both two-photon and asymmetric terms. It is shown that, through a suitable transforma…
Exact Floquet solutions in a Parity-Time-Symmetric Rabi Model
M. Baradaran, D. Braak, L. M. Nieto +1
It is shown that a semiclassical Rabi model with parity-time (PT) symmetry has a hidden symmetry and hence possesses quasi-exact solutions. These are located precisely at t…
Generalized Coulomb-type interaction embedded in a non-inertial cosmic string spacetime in a slow-rotation limit
M. Baradaran, L. M. Nieto, S. Zarrinkamar
Motivated by the great interest in studying quantum and gravitational phenomena in a unified way, scalar bosons are considered in a cosmic string spacetime and in a non-inertial fr…
Quantum lattice transport along an infinitely extended perturbation
Marzieh Baradaran, Pavel Exner, Andrii Khrabustovskyi
We consider a periodic quantum graph in the form of a rectangular lattice with the -coupling of strength in the vertices perturbed by changing the latter at an infinite stra…
Dirac Equation with Space Contributions Embedded in a Quantum-Corrected Gravitational Field
M. Baradaran, L. M. Nieto, S. Zarrinkamar
The Dirac equation is considered with the recently proposed generalized gravitational interaction (Kepler or Coulomb), which includes post-Newtonian (relativistic) and quantum corr…
The spin-one Duffin-Kemmer-Petiau equation revisited: analytical study of its structure and a careful choice of interaction
M. Baradaran, L. M. Nieto, L. P. de Oliveira +1
The Duffin-Kemmer-Petiau equation is investigated for spin one bosons with the so-called natural (normal) and unnatural (abnormal) parity states for non-minimal vector interactions…
On Some Quantum Correction to the Coulomb Potential in Generalized Uncertainty Principle Approach
M. Baradaran, L. M. Nieto, S. Zarrinkamar
Taking into account the importance of the unified theory of quantum mechanics and gravity, and the existence of a minimal length of the order of the Planck scale, we consider a mod…
Cairo lattice with time-reversal non-invariant vertex couplings
Marzieh Baradaran, Pavel Exner
We analyze the spectrum of a periodic quantum graph of the Cairo lattice form. The used vertex coupling violates the time reversal invariance and its high-energy behavior depends o…
Magnetic square lattice with vertex coupling of a preferred orientation
Marzieh Baradaran, Pavel Exner, Jiří Lipovský
We analyze a square lattice graph in a magnetic field assuming that the vertex coupling is of a particular type violating the time reversal invariance. Calculating the spectrum num…
Magnetic ring chains with vertex coupling of a preferred orientation
Marzieh Baradaran, Pavel Exner, Jiri Lipovsky
We discuss spectral properties of an periodic quantum graph consisting of an array of rings coupled either tightly or loosely through connecting links, assuming that the vertex cou…
Kagome network with vertex coupling of a preferred orientation
Marzieh Baradaran, Pavel Exner
We investigate spectral properties of periodic quantum graphs in the form of a kagome or a triangular lattice in the situation when the condition matching the wave functions at the…
Spectrum of periodic chain graphs with time-reversal non-invariant vertex coupling
Marzieh Baradaran, Pavel Exner, Milos Tater
We investigate spectral properties of quantum graphs in the form of a periodic chain of rings with a connecting link between each adjacent pair, assuming that wave functions at the…
Ring chains with vertex coupling of a preferred orientation
Marzieh Baradaran, Pavel Exner, Miloš Tater
We consider a family of Schrödinger operators supported by a periodic chain of loops connected either tightly or loosely through connecting links of the length with the ve…
Exact solutions of a class of double-well potentials: Algebraic Bethe ansatz
Marzieh Baradaran, Hossein Panahi
In this paper, applying the Bethe ansatz method, we investigate the Schrödinger equation for the three quasi-exactly solvable double-well potentials, namely the generalized Manning…
Jastrow-like ground states for quantum many-body potentials with near-neighbors interactions
Marzieh Baradaran, Jose A. Carrasco, Federico Finkel +1
We completely solve the problem of classifying all one-dimensional quantum potentials with nearest- and next-to-nearest-neighbors interactions whose ground state is Jastrow-like, i…
Lie symmetry and the Bethe ansatz solution of a new quasi-exactly solvable double-well potential
Marzieh Baradaran, Hossein Panahi
In this paper, we study the Schrödinger equation with a new quasi-exactly solvable double-well potential. Exact expressions for the energies, the corresponding wave functions and t…
Unified treatment of a class of spherically symmetric potentials: quasi-exact solution
Hossein Panahi, Marzieh Baradaran
In this paper, we investigate the Schrödinger equation for a class of spherically symmetric potentials in a simple and unified manner using the Lie algebraic approach within the fr…