Quantum mechanics is the foundation of modern technology, due to its
innumerable applications in physics, chemistry and even biology.
This second volume studies Schrödinger�s equation and its applications
in the study of wells, steps and potential barriers. It examines the
properties of orthonormal bases in the space of square-summable wave
functions and Dirac notations in the space of states.
This book has a special focus on the notions of the linear operators,
the Hermitian operators, observables, Hermitian conjugation, commutators
and the representation of kets, bras and operators in the space of
states. The eigenvalue equation, the characteristic equation and the
evolution equation of the mean value of an observable are introduced.
The book goes on to investigate the study of conservative systems
through the time evolution operator and Ehrenfest�s theorem.
Finally, this second volume is completed by the introduction of the
notions of quantum wire, quantum wells of semiconductor materials and
quantum dots in the appendices.