Results 21 to 30 of about 1,370 (227)

Self-adjoint extensions and signature change [PDF]

open access: yesClassical and Quantum Gravity, 1995
7 pages ...
openaire   +3 more sources

Scalar field dynamics in a BTZ background with generic boundary conditions

open access: yesEuropean Physical Journal C: Particles and Fields, 2017
We revisit the dynamics of a massive scalar field in a Banados, Teitelboim, and Zanelli background taking into account the lack of global hyperbolicity of the spacetime. We approach this issue using the strategy of Ishibashi and Wald which finds a unique
Alan Garbarz   +2 more
doaj   +1 more source

Self-Adjoint Extension Approach to Motion of Spin-1/2 Particle in the Presence of External Magnetic Fields in the Spinning Cosmic String Spacetime

open access: yesUniverse, 2020
In this work, we study the relativistic quantum motion of an electron in the presence of external magnetic fields in the spinning cosmic string spacetime.
Márcio M. Cunha, Edilberto O. Silva
doaj   +1 more source

The Raychaudhuri equation for a quantized timelike geodesic congruence

open access: yesEuropean Physical Journal C: Particles and Fields, 2021
A recent attempt to arrive at a quantum version of Raychaudhuri’s equation is looked at critically. It is shown that the method, and even the idea, has some inherent problems. The issues are pointed out here.
Shibendu Gupta Choudhury   +2 more
doaj   +1 more source

EXTENSION OF TENSOR PRODUCT FOR OPERATORS ON THE DIRAC OPERATOR EXAMPLE [PDF]

open access: yesНаучно-технический вестник информационных технологий, механики и оптики, 2014
The paper deals with extension method for the operator which is a sum of tensor products. Boundary triplets approach is used. One of the operators is considered to be densely defined and symmetric with equal deficiency indices, the other one is ...
A. A. Boitsev, H. Neidhardt, I. Y. Popov
doaj  

Extension of Jensen's Inequality for Operators without Operator Convexity

open access: yesAbstract and Applied Analysis, 2011
We give an extension of Jensen's inequality for 𝑛-tuples of self-adjoint operators, unital 𝑛-tuples of positive linear mappings, and real-valued continuous convex functions with conditions on the operators' bounds.
Jadranka Mićić   +2 more
doaj   +1 more source

Towards theory of C-symmetries [PDF]

open access: yesOpuscula Mathematica, 2017
The concept of \(\mathcal{C}\)-symmetry originally appeared in \(\mathcal{PT}\)-symmetric quantum mechanics is studied within the Krein spaces framework.
S. Kuzhel, V. Sudilovskaya
doaj   +1 more source

The Hahn-Exton q-Bessel function as the characteristic function of a Jacobi matrix

open access: yesSpecial Matrices, 2014
A family T(ν), ν ∈ ℝ, of semiinfinite positive Jacobi matrices is introduced with matrix entries takenfrom the Hahn-Exton q-difference equation. The corresponding matrix operators defined on the linear hullof the canonical basis in ℓ2(ℤ+) are essentially
Štampach F., Šťovíček P.
doaj   +1 more source

Weighted integral Hankel operators with continuous spectrum

open access: yesConcrete Operators, 2017
Using the Kato-Rosenblum theorem, we describe the absolutely continuous spectrum of a class of weighted integral Hankel operators in L2(ℝ+). These self-adjoint operators generalise the explicitly diagonalisable operator with the integral kernel sαtα(s ...
Fedele Emilio, Pushnitski Alexander
doaj   +1 more source

Self-adjoint extensions of phase and time operators [PDF]

open access: yesPhysical Review A, 2004
It is shown that any real and even function of the phase (time) operator has a self-adjoint extension and its relation to the general phase operator problem is analyzed.
Gour, G., Khanna, F. C., Revzen, M.
openaire   +2 more sources

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