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 assumptions of conventional effective-mass theory, especially the one of continuity of
the envelope function at an abrupt interface, are reviewed critically so that the need for a …

I? rst heard of k· p in a course on semiconductor physics taught by my thesis adviser William
Paul at Harvard in the fall of 1956. He presented the k· p Hamiltonian as a semiempirical …

Higher dimensional theories have attracted much attention because they make it possible to
reduce much of physics in a concise, elegant fashion that unifies the two great theories of …

Instantaneous Galilean invariance is used to derive from first principles the expression for
the Hamiltonian of an electron with a position-dependent effective mass, as well as 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 …

Quantum well devices have been the objects of intensive research during the last two
decades. Some of the devices have matured into commercially useful products and form part …

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 …

We obtain exact solution of the Dirac equation for a charged particle with position-
dependent mass in the Coulomb field. The effective mass of the spinor has a relativistic …

We study the Schrödinger equation with spatial mass distributions for a class of exactly
solvable potentials. We obtain the analytical solutions by transforming the mass distribution …