Results 1 to 10 of about 944 (139)
Self-adjoint extensions of bipartite Hamiltonians [PDF]
Proceedings of the Edinburgh Mathematical Society, 2021 AbstractWe compute the deficiency spaces of operators of the form $H_A{\hat {\otimes }} I + I{\hat {\otimes }} H_B$, for symmetric $H_A$ and self-adjoint $H_B$. This enables us to construct self-adjoint extensions (if they exist) by means of von Neumann's theory. The structure of the deficiency spaces for this case was asserted already in Ibort et al. [
Lenz, Daniel +2 more
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Vacuum Polarization in a Zero-Width Potential: Self-Adjoint Extension
Universe, 2021 The effects of vacuum polarization associated with a massless scalar field near pointlike source with a zero-range potential in three spatial dimensions are analyzed.
Yuri V. Grats, Pavel Spirin
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Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials [PDF]
Opuscula Mathematica, 2013 We systematically develop Weyl-Titchmarsh theory for singular differential operators on arbitrary intervals \((a,b) \subseteq \mathbb{R}\) associated with rather general differential expressions of the type \begin{equation*}\tau f = \frac{1}{\tau} (-(p[f'
Jonathan Eckhardt +3 more
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Self-Adjoint Extensions with Friedrichs Lower Bound [PDF]
Complex Analysis and Operator Theory, 2020 AbstractWe produce a simple criterion and a constructive recipe to identify those self-adjoint extensions of a lower semi-bounded symmetric operator on Hilbert space which have the same lower bound as the Friedrichs extension. Applications of this abstract result to a few instructive examples are then discussed.
Matteo Gallone, Alessandro Michelangeli
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Self-adjoint extensions of symmetric subspaces [PDF]
Pacific Journal of Mathematics, 1974 A theory of self-adjoint extensions of closed symmetric linear manifolds beyond the original space is presented. It is based on the Cayley transform of linear manifolds. Resolvent and spectral families of such extensions are characterized. These extensions are also determined by means of analytic contractions between the "deficiency spaces" of the ...
Dijksma, A., de Snoo, H. S. V.
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Physical Review Research, 2021 For a particle moving on a half-line or in an interval the operator p[over ̂]=−i∂_{x} is not self-adjoint and thus does not qualify as the physical momentum. Consequently canonical quantization based on p[over ̂] fails.
M. H. Al-Hashimi, U.-J. Wiese
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Non-supersymmetric vacua and self-adjoint extensions
Journal of High Energy Physics, 2023 Abstract Internal intervals spanned by finite ranges of a conformal coordinate z and terminating at a pair of singularities are a common feature of many string compactifications with broken supersymmetry. The squared masses emerging in lower-dimensional Minkowski spaces are then eigenvalues of Schrödinger-like operators, whose ...
Mourad, Jihad, Sagnotti, Augusto
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Case Studies in Thermal Engineering, 2023 A solution by the self-adjoint operator method (SAO) (still not widely used in engineering) is presented for a lumped parameter model (LM) of a co/counter-current, indirect heated, diluted, tubular, vertical moving bed heat exchanger (MBHE), with heat ...
Sávio L. Bertoli +4 more
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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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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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