Self‐adjoint and Markovian extensions of infinite quantum graphs [PDF]
Journal of the London Mathematical Society, 2022 We investigate the relationship between one of the classical notions of boundaries for infinite graphs, \emph{graph ends}, and self-adjoint extensions of the minimal Kirchhoff Laplacian on a metric graph. We introduce the notion of \emph{finite volume} for ends of a metric graph and show that finite volume graph ends is the proper notion of a boundary ...
Kostenko, Aleksey +2 more
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Proper incorporation of self-adjoint extension method to Green's function formalism : one-dimensional $\delta^{'}$-function potential case [PDF]
, 1995 One-dimensional $\delta^{'}$-function potential is discussed in the framework of Green's function formalism without invoking perturbation expansion.
Albeverio S +12 more
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Bound States for the Spin-1/2 Aharonov-Bohm Problem in a Rotating Frame
Universe, 2021 In this paper, we study the effects of rotation in the spin-1/2 non-relativistic Aharonov-Bohm problem for bound states. We use a technique based on the self-adjoint extension method and determine an expression for the energies of the bound states.
Daniel F. Lima +3 more
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On the nonlinear perturbations of self-adjoint operators
Advances in Nonlinear Analysis, 2022 Using elements of the theory of linear operators in Hilbert spaces and monotonicity tools we obtain the existence and uniqueness results for a wide class of nonlinear problems driven by the equation Tx=N(x)Tx=N\left(x), where TT is a self-adjoint ...
Bełdziński Michał +2 more
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Self-adjoint extensions of restrictions [PDF]
Operators and Matrices, 2008 We provide a simple recipe for obtaining all self-adjoint extensions, together with their resolvent, of the symmetric operator $S$ obtained by restricting the self-adjoint operator $A:\D(A)\subseteq\H\to\H$ to the dense, closed with respect to the graph norm, subspace $\N\subset \D(A)$. Neither the knowledge of $S^*$ nor of the deficiency spaces of $S$
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Jeffery-Hamel slip flow in a convergent microchannel with uniform wall temperature and streamwise heat conduction [PDF]
MATEC Web of Conferences, 2019 This work is devoted to the determination of the analytical solution of the problem of the laminar forced convection of the Jeffery-Hamel slip flow through a convergent microchannel.
Niagui Mohammed +3 more
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Self-Adjoint Extensions of Discrete Magnetic Schrödinger Operators [PDF]
Annales Henri Poincaré, 2013 Using the concept of intrinsic metric on a locally finite weighted graph, we give sufficient conditions for the magnetic Schr dinger operator to be essentially self-adjoint. The present paper is an extension of some recent results proven in the context of graphs of bounded degree.
Milatovic, Ognjen, Truc, Françoise
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Self-Adjoint Extension Approach for Singular Hamiltonians in (2 + 1) Dimensions
Frontiers in Physics, 2019 In this work, we review two methods used to approach singular Hamiltonians in (2 + 1) dimensions. Both methods are based on the self-adjoint extension approach.
Vinicius Salem +4 more
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Three-particle States in Nonrelativistic Four-fermion Model [PDF]
, 1997 On a nonrelativistic contact four-fermion model we have shown that the simple Lambda-cut-off prescription together with definite fine-tuning of the Lambda dependency of "bare"quantities lead to self-adjoint semi-bounded Hamiltonian in one-, two- and ...
A. N. Vall +14 more
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Self-adjoint extensions and signature change [PDF]
Classical and Quantum Gravity, 1995 7 pages ...
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