Article - preprint
complex symmetric operators, non-hermitian quantum mechanics, field theory, quantum physics, complex variables
Recent advances in the theory of complex symmetric operators are presented and related to current studies in non-hermitian quantum mechanics. The main themes of the survey are: the structure of complex symmetric operators, C-selfadjoint extensions of C-symmetric unbounded operators, resolvent estimates, reality of spectrum, bases of C-orthonormal vectors, and conjugate-linear symmetric operators. The main results are complemented by a variety of natural examples arising in field theory, quantum physics, and complex variables.
© 2014 IOP Publishing Ltd
Garcia, Stephan Ramon; Prodan, Emil; and Putinar, Mihai, "Mathematical and physical aspects of complex symmetric operators" (2014). Pomona Faculty Publications and Research. 436.