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Abstract

The basics of (linear) unbounded self-adjoint operators is discussed in this chapter. Cayley transform, von Neumann criterion on self-adjoint extensions, Weyl spectral criterion and many examples are presented. These are the first steps to the mathematical formulation of quantum mechanics. From now on the Hilbert spaces are supposed to be separable and, unless it is explicitly remarked, also complex.

Keywords

Unitary Operator Energy Operator Adjoint Operator Hermitian Operator Linear Isometry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag AG 2009

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