Results 291 to 300 of about 1,301,436 (336)
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, 2018
The concern here is with positive operators which model relativistic properties of the Dirac operator, special attention being given to the Brown-Ravenhall operator defined on a domain \(\Omega \) properly contained in \(\mathbb {R}^n\).
D. Edmunds, W. D. Evans
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The concern here is with positive operators which model relativistic properties of the Dirac operator, special attention being given to the Brown-Ravenhall operator defined on a domain \(\Omega \) properly contained in \(\mathbb {R}^n\).
D. Edmunds, W. D. Evans
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Ambarzumyan Theorems for Dirac Operators
Acta Mathematicae Applicatae Sinica, English Series, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Chuan-fu +2 more
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On conformal powers of the Dirac operator on Einstein manifolds
, 2014We determine the structure of conformal powers of the Dirac operator on Einstein Spin-manifolds in terms of the product formula for shifted Dirac operators.
M. Fischmann +2 more
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2016
This chapter is devoted to a detailed discussion of Callias’ first-order differential operator \(L = \mathcal{Q}+\varPhi\) and its associated supersymmetric Dirac-type operator \(H = \left (\begin{matrix}\scriptstyle 0 &\scriptstyle L^{{\ast}} \\ \scriptstyle L&\scriptstyle 0 \end{matrix}\right )\), with \(\mathcal{Q} =\sum _{ j=1}^{n}\gamma _{j,n ...
Fritz Gesztesy, Marcus Waurick
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This chapter is devoted to a detailed discussion of Callias’ first-order differential operator \(L = \mathcal{Q}+\varPhi\) and its associated supersymmetric Dirac-type operator \(H = \left (\begin{matrix}\scriptstyle 0 &\scriptstyle L^{{\ast}} \\ \scriptstyle L&\scriptstyle 0 \end{matrix}\right )\), with \(\mathcal{Q} =\sum _{ j=1}^{n}\gamma _{j,n ...
Fritz Gesztesy, Marcus Waurick
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Polynomial Dirac Operators in Superspace
Advances in Applied Clifford Algebras, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuan, Hongfen +2 more
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Dirac Operators in Representation Theory
2004This paper is an introduction to the applications of Dirac operators in representation theory of semisimple Lie groups. We present Vogan's conjecture on infinitesimal characters of representations with Dirac cohomology together with its proof by ourselves. We sketch several applications of this to various classical results.
Huang, Jing Song, Pandzic, Pavle
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The Hypoelliptic Dirac Operator
2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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First-order Dirac symmetry operators
Classical and Quantum Gravity, 2003Summary: We show how, for all dimensions and signatures, the most general first-order linear symmetry operator for the massive Dirac equation is given in terms of Killing-Yano tensors. In the massless case the Killing-Yano condition is relaxed to the conformal Killing-Yano generalization.
Benn, I. M., Kress, J. M.
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Singular values of the Dirac operator in dense QCD-like theories
, 2011A bstractWe study the singular values of the Dirac operator in dense QCD-like theories at zero temperature. The Dirac singular values are real and nonnegative at any nonzero quark density.
T. Kanazawa, T. Wettig, N. Yamamoto
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Acta Applicandae Mathematica, 2002
Computing the Pauli operator as the transfer operator for the Dirac operator with respect to the \(h\)-adic filtration of the spinor module, the author concludes that it coincides (up to an action of the Hodge operator) with the anticommutator of the Lie derivative along the characteristic vector field and the Hodge operator (about the action of Lie ...
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Computing the Pauli operator as the transfer operator for the Dirac operator with respect to the \(h\)-adic filtration of the spinor module, the author concludes that it coincides (up to an action of the Hodge operator) with the anticommutator of the Lie derivative along the characteristic vector field and the Hodge operator (about the action of Lie ...
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