Results 1 to 10 of about 38,139 (202)

Non-supersymmetric vacua and self-adjoint extensions [PDF]

Journal of High Energy Physics, 2023
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
J. Mourad, A. Sagnotti
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Self-adjoint and Markovian extensions of infinite quantum graphs. [PDF]

J Lond Math Soc, 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 A, Mugnolo D, Nicolussi N.
europepmc   +6 more sources

Spectra of Observables in the q-Oscillator and q-Analogue of the Fourier Transform [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2005
Spectra of the position and momentum operators of the Biedenharn-Macfarlane q^-oscillator (with the main relation aa^+ - qa^+a = 1) are studied when q > 1. These operators are symmetric but not self-adjoint.
Anatoliy U. Klimyk
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Self-adjoint Extensions of Restrictions [PDF]

Operators and Matrices, 2007
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 $S$
Andrea Posilicano
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Fullerenes, Zero-modes, and Self-adjoint Extensions

Journal of Physics A: Mathematical and Theoretical, 2009
20 pages LaTeX, 7 ...
Abhishek Roy, Michael Stone
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Reduction of positive self-adjoint extensions [PDF]

Opuscula Mathematica
We revise Krein's extension theory of semi-bounded Hermitian operators by reducing the problem to finding all positive and contractive extensions of the "resolvent operator" \((I+T)^{-1}\) of \(T\).
Zsigmond Tarcsay, Zoltán Sebestyén
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Schrödinger self-adjoint extension and quantum field theory [PDF]

Physics Letters B, 1995
9 pages, Plain LaTex, MIT-CTP ...
Giovanni Amelino-Camelia, Dongsu Bak
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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 and spectral analysis in the Calogero problem [PDF]

, 2010
In this paper, we present a mathematically rigorous quantum-mechanical treatment of a one-dimensional motion of a particle in the Calogero potential $\alpha x^{-2}$.
D M Gitman, I V Tyutin, B L Voronov
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Quantum Exact Response Theory Based on the Dissipation Function [PDF]

Entropy
The exact response theory based on the Dissipation Function applies to general dynamical systems and has yielded excellent results in various applications. In this article, we propose a method to apply it to quantum mechanics. In many quantum systems, it
Enrico Greppi, Lamberto Rondoni
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