Results 11 to 20 of about 38,188 (251)
Self-adjoint extensions and unitary operators on the boundary [PDF]
, 2017 We establish a bijection between the self-adjoint extensions of the Laplace operator on a bounded regular domain and the unitary operators on the boundary. Each unitary encodes a specific relation between the boundary value of the function and its normal
Paolo Facchi +2 more
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On self-adjoint extensions and quantum symmetries [PDF]
Annales Henri Poincaré, 2014 General stylistic improvements and typos corrected. References added. 27 pages, 1 figure.
Alberto Ibort +2 more
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Point-Like Rashba Interactions as Singular Self-Adjoint Extensions of the Schrödinger Operator in One Dimension [PDF]
Frontiers in Physics, 2019 We consider singular self-adjoint extensions for the Schrödinger operator of spin-1/2 particle in one dimension. The corresponding boundary conditions at a singular point are obtained. There are boundary conditions with the spin-flip mechanism, i.e., for
Vladimi L. Kulinskii +2 more
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Quantum graphs featuring unusual self-adjoint extensions
Acta PolytechnicaWe present an example of a simple quantum graph with “vertices at infinity”, which appear due a strongly attractive potential making the spectral problem quantum-mechanically incomplete. We construct the appropriate self-adjoint extensions of the formal
Pavel Exner
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Self-adjoint extensions of symmetric differential operators [PDF]
Pacific Journal of Mathematics, 1973 Arnold Villone
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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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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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Observables in Quantum Mechanics and the Importance of Self-Adjointness
Universe, 2022 We are focused on the idea that observables in quantum physics are a bit more then just hermitian operators and that this is, in general, a “tricky business”. The origin of this idea comes from the fact that there is a subtle difference between symmetric,
Tajron Jurić
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On self-adjoint operators in Krein spaces constructed by Clifford algebra Cl_{2} [PDF]
Opuscula Mathematica, 2012 Let \(J\) and \(R\) be anti-commuting fundamental symmetries in a Hilbert space \(\mathfrak{H}\). The operators \(J\) and \(R\) can be interpreted as basis (generating) elements of the complex Clifford algebra \(Cl_2(J,R):=\text{span}\{I,J,R,iJR\}\).
Sergii Kuzhel, Olexiy Patsyuck
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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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