Grod A. Spectral analysis of some classes of non-selfadjoint operators.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0415U000800

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

10-03-2015

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

The thesis is apart mathematical grounding pseudo-hermitian quantum mechanics (PHQM). The main aim is researching 0-perturbed operators using the operator-valued function (S-matrix), which is defined similarly to S-matrixes of self-perturbed operators in Lax-Philips scattering theory. The domain of S-matrix of 0-perturbed operator A on C_+ is uniquely defined by resolvent set

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