Recent experimental and theoretical progress has elucidated the tunable crossover, in
ultracold Fermi gases, from BCS-type superconductors to BEC-type superfluids. The BCS …

This book introduces the factorization method in quantum mechanics at an advanced level,
with the aim of putting mathematical and physical concepts and techniques like the …

The Schrödinger equation is solved exactly for some well known potentials. Solutions are
obtained reducing the Schrödinger equation into a second order differential equation by …

We consider the problem of a single↓ atom in the presence of a Fermi sea of↑ atoms, in
the vicinity of a Feshbach resonance. We calculate the chemical potential and the effective …

We show that there exist some intimate connections between three unconventional
Schrödinger equations based on the use of deformed canonical commutation relations, of a …

We study the Fermi gas at unitarity and at T= 0 by assuming that, at high polarizations, it is a
normal Fermi liquid composed of weakly interacting quasiparticles associated with the …

Given a spatially dependent mass distribution, we obtain potential functions for exactly
solvable nonrelativistic problems. The energy spectrum of the bound states and their wave …

We consider the application of the supersymmetric quantum-mechanical formalism to the
Schrödinger equation describing a particle characterized by a position-dependent effective …

The analytical solutions of the Schrödinger equation with position-dependent mass for the
Morse potential are obtained by the series expansion method. The Morse potential and the …

Known shape-invariant potentials for the constant-mass Schrödinger equation are taken as
effective potentials in a position-dependent effective mass (PDEM) one. The corresponding …