Results 191 to 200 of about 1,370 (227)

Constructing quantum observables and self-adjoint extensions of symmetric operators. III. Self-adjoint boundary conditions

Russian Physics Journal, 2008
Let \(\widehat f^{(0)}\) be the initial symmetric operator with a given self-adjoint (SA) differential expression \(\breve f\), associated with \(L^2(a,b)\), and \(\widehat f^*= [\widehat f^{(0)}]^+\) be its adjoint with the domain \(D_*\). Any \(\psi_*\in D_*\) is reepresented as \(\psi_*= \psi+\psi_++ \psi_-\); \(\psi\in D_f\), \(\psi_+\in D_ ...
Voronov, B. L., Gitman, D. M., Tyutin, I. V.   +2 more
openaire   +2 more sources

Singular Rank One Perturbations of Self-Adjoint Operators and Krein Theory of Self-Adjoint Extensions

Potential Analysis, 1999
The article is a supplement of a result by \textit{F. Gesztesy} and \textit{B. Simon} [J. Funct. Anal. 128, No. 1, 245-252 (1995; Zbl 0828.47009)]. They showed the existence of the strong resolvent limit \(A_{\infty,g}\) obtained from \(A_{\alpha,g}= A+\alpha\langle.,g\rangle g\) as \(\alpha\to\infty\), where \(A\) is a self-adjoint positive operator ...
Albeverio, Sergio, Koshmanenko, Volodymyr   +1 more
openaire   +1 more source

Self-adjoint Extensions: Boundary Triplets

2012
Chapter 14 is devoted to a powerful approach to the self-adjoint extension theory. It is based on the notion of a boundary triplet for the adjoint of a densely defined symmetric operator T with equal deficiency indices. It is shown that (self-adjoint) extensions of the operator T can be parameterized in terms of (self-adjoint) relations on the boundary
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Self-adjoint extensions of symmetric operators

Rendiconti del Circolo Matematico di Palermo, 1981
Let ℋ denote the Hilbert space of analytic functions on the unit disk which are square summable with respect to the usual area measure. In this paper we consider the formal differential exepressons of order two or greater having the form {fx321-1} and {fx321-2} which give rise to symmetric operators in ℋ.
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Self-adjoint Extensions of Symmetric Operators

2016
There are numerous works devoted to the theory of extension of symmetric operators, were properties of extended operators are described. Here we refer only to some sources that have influenced our research in this area: [28, 32, 34, 35, 39, 45, 54, 55, 64, 65, 68, 70, 71, 73, 75, 82, 91, 92, 110, 147, 148, 152, 167, 179].
Volodymyr Koshmanenko, Mykola Dudkin
openaire   +1 more source

Self–adjoint Extensions for the Neumann Laplacian and Applications

Acta Mathematica Sinica, English Series, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nazarov, S. A., Sokołowski, J.
openaire   +1 more source

Self-adjoint bound-preserving extensions of semibounded hermitian operators

Journal of Soviet Mathematics, 1992
See the review in Zbl 0657.47030.
Kuzhel', A. V., Rotkevich, Eh.
openaire   +2 more sources

Self-adjoint extensions of symmetric operators

1980
In Sections 5.4 and 5.5 we have already learned that certain symmetric operators (the semi-bounded and continuously invertible ones) possess self-adjoint extensions. The question of whether all (or which) symmetric operators have self-adjoint extensions could not be answered there.
openaire   +1 more source

Self-Adjoint Extensions of Symmetric Operators

2018
Self-adjointness of certain operators is crucial in many applications (e.g. in quantum physics or in partial differential equations). However, operators which naturally occur in many problems turn out to be symmetric, but not necessarily self-adjoint. It is for that reason that the problem of existence and classification of self-adjoint extensions of ...
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Self-adjoint extensions of commuting Hermite operators

Ukrainian Mathematical Journal, 1990
It is proved that it is possible to commuting self-adjoint operators two formally commuting Hermite operators, one of which is self-adjoint after closure and the other has equal defect numbers. The operators act in a Hilbert space constructed from the tensor product of two Hilbert spaces by completion with respect to a norm defined by a positive ...
openaire   +1 more source