Results 51 to 60 of about 73,171 (204)
Friedrichs Extension and Min-Max Principle for Operators with a Gap
, 2019 Semibounded symmetric operators have a distinguished self-adjoint extension, the Friedrichs extension. The eigenvalues of the Friedrichs extension are given by a variational principle that involves only the domain of the symmetric operator.
Schimmer, Lukas +2 more
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Effects of spin on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background [PDF]
, 2014 In this work the dynamics of a 2D Dirac oscillator in the spacetime of a magnetic cosmic string is considered. It is shown that earlier approaches to this problem have neglected a $\delta$ function contribution to the full Hamiltonian, which comes from ...
Andrade, Fabiano M., Silva, Edilberto O.
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Positive cosmological constant in loop quantum cosmology
, 2011 The k=0 Friedmann Lemaitre Robertson Walker model with a positive cosmological constant and a massless scalar field is analyzed in detail. If one uses the scalar field as relational time, new features arise already in the Hamiltonian framework of ...
A. Ashtekar +5 more
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On Self-Adjoint Extensions and Symmetries in Quantum Mechanics [PDF]
Annales Henri Poincaré, 2014 General stylistic improvements and typos corrected. References added. 27 pages, 1 figure.
Ibort, Alberto +2 more
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Abstract and Applied Analysis, 2010 We consider the Friedrichs self-adjoint extension for a differential operator A of the form A=A0+q(x)⋅, which is defined on a bounded domain Ω⊂ℝn, n≥1 (for n=1 we assume that Ω=(a,b) is a finite interval). Here A0=A0(x,D) is a formally self-adjoint and a
Valery Serov
doaj +1 more source
Physical regularization for the spin-1/2 Aharonov-Bohm problem in conical space
, 2012 We examine the bound state and scattering problem of a spin-one-half particle undergone to an Aharonov-Bohm potential in a conical space in the nonrelativistic limit.
A. Vilenkin +7 more
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Sign-indefinite second order differential operators on finite metric graphs [PDF]
, 2013 The question of self-adjoint realizations of sign-indefinite second order differential operators is discussed in terms of a model problem. Operators of the type $-\frac{d}{dx} \sgn (x) \frac{d}{dx}$ are generalized to finite, not necessarily compact ...
Hussein, Amru
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Quasi boundary triples and semi-bounded self-adjoint extensions [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2017 In this note semi-bounded self-adjoint extensions of symmetric operators are investigated with the help of the abstract notion of quasi boundary triples and their Weyl functions. The main purpose is to provide new sufficient conditions on the parameters in the boundary space to induce self-adjoint realizations, and to relate the decay of the Weyl ...
Behrndt, Jussi +3 more
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The Canadian Journal of Chemical Engineering, EarlyView.Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley +1 more source
Propagator for spinless and spin-1/2 Aharonov-Bohm-Coulomb systems
, 1997 The propagator of the spinless Aharonov-Bohm-Coulomb system is derived by following the Duru-Kleinert method. We use this propagator to explore the spin-1/2 Aharonov-Bohm-Coulomb system which contains a point interaction as a Zeeman term.
Aharanov +24 more
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