Rotating effects on an atom with a magnetic quadrupole moment confined to a quantum ring

Exact Solutions of Scalar Bosons in the Presence of the Aharonov-Bohm and Coulomb Potentials in the Gravitational Field of Topological Defects

“…As a result of that, the solutions can be achieved by imposing that the power series expansion (88) or the biconfluent Heun series becomes a polynomial of degreen . This guaranteeing that R(ρ) behaves F as ρ at the origin and vanishes at ρ → ∞ [28][29][30][31][32][33]. Thus, in order that the power series expansion becomes a polynomial of degree n, we impose that ζ + a + 1 = −n.…”

Noninertial effects on nonrelativistic topological quantum scattering

“…In the context of the partial wave expansion approach for the scattering problem we have also obtained the phase shift (16) and shown it has two contributions, one corresponding to the noninertial effects contribution (17) and another one corresponding to the conical topology of the cosmic string spacetime (19). The latter was previously obtained in [39] and we emphasise that although the authors obtained this phase shift in the relativistic regime, for ̟ = 0, all the results for the scattering problem, i.e, phase shift, scattering amplitude etc., are the same in the nonrelativistic case, except for the fact that the expression for the energy assume the nonrelativistic form (10).…”

Some aspects of an induced electric dipole moment in rotating and non-rotating frames

“…In this section, we consider a rotating frame where the system discussed in the previous section is in a reference frame that rotates with a constant angular velocity . By following [ 17 , 36 , 37 , 54 – 57 ], the time-independent Schrödinger equation in the rotating frame is given by where is given in equation ( 2.1 ), i.e. it is to the Hamiltonian operator in the absence of rotation, and is the angular momentum operator.…”

“…In this section, we consider a rotating frame where the system discussed in the previous section is in a reference frame that rotates with a constant angular velocity Ω = Ωẑ. By following [17,36,37,[54][55][56][57], the time-independent Schrödinger equation in the rotating frame is given by…”