Results 21 to 30 of about 38,188 (251)
Whirling Waves and the Aharonov-Bohm Effect for Relativistic Spinning Particles [PDF]
, 1996 The formulation of Berry for the Aharonov-Bohm effect is generalized to the relativistic regime. Then, the problem of finding the self-adjoint extensions of the (2+1)-dimensional Dirac Hamiltonian, in an Aharonov-Bohm background potential, is solved in a
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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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On unbounded commuting Jacobi operators and some related issues
Concrete Operators, 2019 We consider the situations, when two unbounded operators generated by infinite Jacobi matrices, are self-adjoint and commute. It is found that if two Jacobi matrices formally commute, then two corresponding operators are either self-adjoint and commute ...
Osipov Andrey
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Time discretization from noncommutativity
Physics Letters B, 2021 We show that a particular noncommutative geometry, sometimes called angular or ρ-Minkowski, requires that the spectrum of time be discrete. In this noncommutative space the time variable is not commuting with the angular variable in cylindrical ...
Fedele Lizzi, Patrizia Vitale
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J-Self-Adjoint Extensions for a Class of Discrete Linear Hamiltonian Systems
Abstract and Applied Analysis, 2013 This paper is concerned with formally J-self-adjoint discrete linear Hamiltonian systems on finite or infinite intervals. The minimal and maximal subspaces are characterized, and the defect indices of the minimal subspaces are discussed.
Guojing Ren, Huaqing Sun
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On spectral stability for rank one singular perturbations [PDF]
Opuscula MathematicaWe study the embedded point spectrum of rank one singular perturbations of an arbitrary self-adjoint operator \(A\) on a Hilbert space \(\mathcal{H}\). These perturbations can be regarded as self-adjoint extensions of a densely defined closed symmetric ...
Mario Alberto Ruiz Caballero +1 more
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Stieltjes functions and spectral analysis in the physics of sea ice [PDF]
Nonlinear Processes in Geophysics, 2023 Polar sea ice is a critical component of Earth’s climate system. As a material, it is a multiscale composite of pure ice with temperature-dependent millimeter-scale brine inclusions, and centimeter-scale polycrystalline microstructure which is largely ...
K. M. Golden +3 more
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Self-adjoint extensions and signature change [PDF]
Classical and Quantum Gravity, 1995 7 pages ...
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Extensions of symmetric operators I: The inner characteristic function case
Concrete Operators, 2015 Given a symmetric linear transformation on a Hilbert space, a natural problem to consider is the characterization of its set of symmetric extensions. This problem is equivalent to the study of the partial isometric extensions of a fixed partial isometry.
Martin R.T.W.
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Generalized Uncertainty Principle and Self-Adjoint Operators [PDF]
, 2015 In this work we explore the self-adjointness of the GUP-modified momentum and Hamiltonian operators over different domains. In particular, we utilize the theorem by von-Newmann for symmetric operators in order to determine whether the momentum and ...
Balasubramanian, Venkat +2 more
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