Introduction to Quantum Mechanics: Energy Levels and Spin

Sulabha K. Kulkarni

H. Muirhead

During the years following the introduction of quantum mechanics a very successful theory of angular momentum for atomic states was built up, and it played no little part in the explanation of the energy levels of the atom.

Henrik Smith

The book is an introduction to quantum mechanics at a level suitable for the second year in a European university (junior or senior year in an American college). The matrix formulation of quantum mechanics is emphasized throughout, and the student is introduced to Dirac notation from the start. A number of major examples illustrate the workings of quantum mechanics. Several of these examples are taken from solid state physics, with the purpose of showing that quantum mechanics forms the common basis for understanding atoms, molecules and condensed matter. The book contains an introductory chapter which puts the concepts of quantum mechanics into a historical framework. The solid-state applications discussed in this text include the quantum Hall effect, spin waves, quantum wells and energy bands. Other examples feature the two-dimensional harmonic oscillator, coherent states, two-electron atoms, the ammonia molecule and the chemical bond. A large number of homework problems are included.

Harald J W Müller-Kirsten

Tamara P. Ershova, Natalia N. Gorobey, Alexander S. Lukyanenko

A special form of a quasiclassical approximation in non-relativistic and relativistic quantum mechanics is considered. It consists in the demand of classical interpretation for a natural time of the theory. As the consequence, in passing to quantum level, there arises the necessity of introduction of half-integer spin.