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arXiv · 1404.1304

Mathematical and physical aspects of complex symmetric operators

Stephan Ramon Garcia·Emil Prodan·Mihai Putinar
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Abstract

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.

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Stephan Ramon Garcia, Emil Prodan, Mihai Putinar. 2014-04-04. Mathematical and physical aspects of complex symmetric operators. https://doi.org/10.1088/1751-8113/47/35/353001

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