Results 41 to 50 of about 73,171 (204)
Weighted integral Hankel operators with continuous spectrum
Concrete 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
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Self-adjoint extensions of phase and time operators [PDF]
Physical 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.
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A Family of Non-commutative geometries
, 2010 It is shown that the non-commutativity in quantum Hall system may get modified. The self-adjoint extension of the corresponding Hamiltonian leads to a family of non-commutative geometries labeled by the self-adjoint extension parameters.
Giri, Pulak Ranjan, Sinha, Debabrata
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Characterization of Eigenvalues in Spectral Gap for Singular Differential Operators
Abstract and Applied Analysis, 2012 The spectral properties for n order differential operators are considered. When given a spectral gap (a,b) of the minimal operator T0 with deficiency index r, arbitrary m points βi (i=1,2,…,m) in (a,b), and a positive integer function p such that ∑i=1mp(
Zhaowen Zheng, Wenju Zhang
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Spectra of Elliptic Operators on Quantum Graphs with Small Edges
Mathematics, 2021 We consider a general second order self-adjoint elliptic operator on an arbitrary metric graph, to which a small graph is glued. This small graph is obtained via rescaling a given fixed graph γ by a small positive parameter ε.
Denis I. Borisov
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Remarks on the Aharonov-Casher dynamics in a CPT-odd Lorentz-violating background
, 2013 The Aharonov-Casher problem in the presence of a Lorentz-violating background nonminimally coupled to a spinor and a gauge field is examined. Using an approach based on the self-adjoint extension method, an expression for the bound state energies is ...
Andrade, F. M., Silva, E. O.
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The Fermionic Signature Operator and Quantum States in Rindler Space-Time [PDF]
, 2016 The fermionic signature operator is constructed in Rindler space-time. It is shown to be an unbounded self-adjoint operator on the Hilbert space of solutions of the massive Dirac equation.
Finster, Felix +2 more
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Simplicity and Spectrum of Singular Hamiltonian Systems of Arbitrary Order
Abstract and Applied Analysis, 2013 The paper is concerned with singular Hamiltonian systems of arbitrary order with arbitrary equal defect indices. It is proved that the minimal operator generated by the Hamiltonian system is simple.
Huaqing Sun
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On self-adjoint operators in Krein spaces constructed by Clifford algebra Cl_{2} [PDF]
Opuscula Mathematica, 2012 Let \(J\) and \(R\) be anti-commuting fundamental symmetries in a Hilbert space \(\mathfrak{H}\). The operators \(J\) and \(R\) can be interpreted as basis (generating) elements of the complex Clifford algebra \(Cl_2(J,R):=\text{span}\{I,J,R,iJR\}\).
Sergii Kuzhel, Olexiy Patsyuck
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Quantum Models à la Gabor for the Space-Time Metric
Entropy, 2022 As an extension of Gabor signal processing, the covariant Weyl-Heisenberg integral quantization is implemented to transform functions on the eight-dimensional phase space x,k into Hilbertian operators.
Gilles Cohen-Tannoudji +3 more
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