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Non-self-adjoint graphs (Q5496684)

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scientific article; zbMATH DE number 6394322

Language	Label	Description	Also known as
English	Non-self-adjoint graphs	scientific article; zbMATH DE number 6394322

Statements

scholarly article

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Non-self-adjoint graphs (English)

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David Krejčiřík

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Transactions of the American Mathematical Society

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publication date

2 February 2015

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full work available at URL

https://arxiv.org/abs/1308.4264

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zbMATH Keywords

metric graphs

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Laplacian

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non-self-adjoint boundary conditions

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similarity

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Riesz basis

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MaRDI profile type

MaRDI publication profile

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On series with respect to root vectors of operators associated with forms having symmetric principal part

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Point interactions: \(\mathcal{PT}\)-Hermiticity and reality of the spectrum.

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One-dimensional Schrödinger operators with -symmetric zero-range potentials

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Hilbert space operators in quantum physics

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The trace formula for quantum graphs with general self adjoint boundary conditions

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\(\mathcal {PT}\)-symmetric waveguides

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Operators similar to unitary of selfadjoint ones

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The similarity problem for non-self-adjoint operators with absolutely continuous spectrum

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Hermitian symplectic geometry and extension theory

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Maximal quasi-accretive Laplacians on finite metric graphs

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The Pauli equation with complex boundary conditions

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Kirchhoff's rule for quantum wires

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Contraction semigroups on metric graphs

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Brownian motions on metric graphs

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Closed formula for the metric in the Hilbert space of a -symmetric model

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Calculation of the metric in the Hilbert space of a {\cal P}{\cal T} -symmetric model via the spectral theorem

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{\mathcal {PT}}-symmetric models in curved manifolds

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On the similarity of Sturm-Liouville operators with non-Hermitian boundary conditions to self-adjoint and normal operators

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Graph models for waves in thin structures

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Quantum graphs: I. Some basic structures

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On a class of \(J\)-self-adjoint operators with empty resolvent set

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A criterion for the similarity of a closed operator to a self-adjoint operator

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PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS

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Conditions for similarity to unitary and self-adjoint operators

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Quasi-Hermitian operators in quantum mechanics and the variational principle

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Identifiers

zbMATH Open document ID

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10.1090/S0002-9947-2014-06432-5

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5496684

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