Results 21 to 30 of about 1,370 (227)
Self-adjoint extensions and signature change [PDF]
7 pages ...
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Scalar field dynamics in a BTZ background with generic boundary conditions
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
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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
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The Raychaudhuri equation for a quantized timelike geodesic congruence
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
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EXTENSION OF TENSOR PRODUCT FOR OPERATORS ON THE DIRAC OPERATOR EXAMPLE [PDF]
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
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Extension of Jensen's Inequality for Operators without Operator Convexity
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
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Towards theory of C-symmetries [PDF]
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
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The Hahn-Exton q-Bessel function as the characteristic function of a Jacobi matrix
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.
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Weighted integral Hankel operators with continuous spectrum
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
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Self-adjoint extensions of phase and time operators [PDF]
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.
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