We address the quantification of nonlinearity for quantum oscillators and introduce two
measures based on the properties of the ground state rather than on the form of the potential …

We present an application of the Lagrangian variational method (LVM) to study the small-
oscillation dynamics and ground-state properties of an interacting Bose gas in a one …

The elements of the vortex-dipole (VD) dynamics are numerically examined in a nonuniform
Bose–Einstein condensate (BEC) using the time-dependent Gross–Pitaevskii equation that …

We explore squeezed coherent states of a three-dimensional generalized isotonic oscillator
whose radial part is the newly introduced generalized isotonic oscillator whose bound state …

We present a definition of integrability for the one-dimensional Schrödinger equation, which
encompasses all known integrable systems, ie, systems for which the spectrum can be …

We examine the dynamics of a one-dimensional harmonically trapped Bose–Einstein
condensate (BEC), induced by the addition of a dimple trap whose depth oscillates with …

Within the context of supersymmetric quantum mechanics and its related hierarchies of
integrable quantum Hamiltonians and potentials, a general programme is outlined and …

Within the context of Supersymmetric Quantum Mechanics and its related hierarchies of
integrable quantum Hamiltonians and potentials, a general programme is outlined and …

In this thesis we develop a model of ultracold dipolar bosons in a highly anisotropic quasi-
one-dimensional optical lattice. We will see that the model is identical to one describing …