Document Type

Article - preprint


Mathematics (Pomona)

Publication Date



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.


Final published version can be found at: Garcia, S.R., Prodan, E., Putinar, M., Mathematical and physical aspects of complex symmetric operators, J. Phys. A: Math. Gen. 47 (2014), no. 35, 353001.

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© 2014 IOP Publishing Ltd