Every part of physics offers examples of non-stability phenomena, but
probably nowhere are they so plentiful and worthy of study as in the
realm of quantum theory. The present volume is devoted to this problem:
we shall be concerned with open quantum systems, i.e. those that cannot
be regarded as isolated from the rest of the physical universe. It is a
natural framework in which non-stationary processes can be investigated.
There are two main approaches to the treatment of open systems in
quantum theory. In both the system under consideration is viewed as part
of a larger system, assumed to be isolated in a reasonable
approximation. They are differentiated mainly by the way in which the
state Hilbert space of the open system is related to that of the
isolated system - either by orthogonal sum or by tensor product. Though
often applicable simultaneously to the same physical situation, these
approaches are complementary in a sense and are adapted to different
purposes. Here we shall be concerned with the first approach, which is
suitable primarily for a description of decay processes, absorption,
etc. The second approach is used mostly for the treatment of various
relaxation phenomena. It is comparably better examined at present; in
particular, the reader may consult a monograph by E. B. Davies.