Next to the harmonic oscillator and the Coulomb potential the class of
two-body models with point interactions is the only one where complete
solutions are available. All mathematical and physical quantities can be
calculated explicitly which makes this field of research important also
for more complicated and realistic models in quantum mechanics. The
detailed results allow their implementation in numerical codes to
analyse properties of alloys, impurities, crystals and other features in
solid state quantum physics. This monograph presents in a systematic way
the mathematical approach and unifies results obtained in recent years.
The student with a sound background in mathematics will get a deeper
understanding of Schrödinger Operators and will see many examples which
may eventually be used with profit in courses on quantum mechanics and
solid state physics. The book has textbook potential in mathematical
physics and is suitable for additional reading in various fields of
theoretical quantum physics.