Scalar field dynamics in a BTZ background with generic boundary conditions
European 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
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Quantum cosmology of scalar-tensor theories and self-adjointness [PDF]
, 2016 In this paper, the problem of the self-adjointness for the case of a quantum minisuperspace Hamiltonian retrieved from a Brans-Dicke (BD) action is investigated.
Antonio B. Batista +15 more
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The Raychaudhuri equation for a quantized timelike geodesic congruence
European 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
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A pragmatic approach to the problem of the self-adjoint extension of Hamilton operators with the Aharonov-Bohm potential [PDF]
, 1995 We consider the problem of self-adjoint extension of Hamilton operators for charged quantum particles in the pure Aharonov-Bohm potential (infinitely thin solenoid).
Audretsch J +13 more
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EXTENSION OF TENSOR PRODUCT FOR OPERATORS ON THE DIRAC OPERATOR EXAMPLE [PDF]
Научно-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
Abstract 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
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Towards theory of C-symmetries [PDF]
Opuscula 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
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Two- and Three-particle States in a Nonrelativistic Four-fermion Model in the Fine-tuning Renormalization Scheme. Goldstone mode "against" extension theory [PDF]
, 1999 In a nonrelativistic contact four-fermion model we show that simple regularisation prescriptions together with a definite fine-tuning of the cut-off-parameter dependence of ``bare'' quantities give the exact solutions for the two-particle sector and ...
Korenblit, S. E. +4 more
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The Hahn-Exton q-Bessel function as the characteristic function of a Jacobi matrix
Special 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.
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Fullerenes, zero-modes and self-adjoint extensions
Journal of Physics A: Mathematical and Theoretical, 2009 20 pages LaTeX, 7 ...
Roy, Abhishek, Stone, Michael
openaire +2 more sources