Results 221 to 230 of about 3,896 (261)
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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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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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On the eigenvalues of the dirac operator
Mathematical Notes, 2000\textit{A. Kiselev, Y. Last} and \textit{B. Simon} [Commun. Math. Phys. 194, No. 1, 1-45 (1998; Zbl 0912.34074)] have proved that a one-dimensional Schrödinger operator with potential of Coulomb type decay can have only countably many positive eigenvalues, with zero being the only possible accumulation point.
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On the Dirac and Spin-Dirac Operators
Advances in Applied Clifford Algebras, 2010This paper is an extension of [11], where we study the Dirac and spin-Dirac operators associated to different connections. In the present work we present some relations between the Dirac operators associated to the connections on Riemann-Cartan-Weyl spacetime, Riemann-Cartan spacetime and Riemann spacetime. We obtain a generalized Lichnerowicz formula,
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The Hypoelliptic Dirac Operator
2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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 \(\mathbb {R}^n\).
David E. Edmunds, W. Desmond 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 \(\mathbb {R}^n\).
David E. Edmunds, W. Desmond Evans
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Lower Bounds for the Eigenvalues of the Dirac Operator: Part II. The Submanifold Dirac Operator
Annals of Global Analysis and Geometry, 2001The present paper is a continuation of a previous one [Ann. Global Anal. Geom. 19, No.~4, 355-376 (2001; Zbl 0989.53030)], and generalizes the results to the submanifold Dirac operator. In particular, they obtain optimal lower bounds of this operator in terms of the mean curvature and geometric invariants, e.g.
Hijazi, Oussama, Zhang, Xiao
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Eigenfunction Estimate for a Dirac Operator
Acta Mathematica Hungarica, 1997Let \(Q(x)\) be \(2\times 2\) matrix-function, \(Q(x)=Q(X)^*\), \(B=\left[\begin{smallmatrix} 0 & 1 \\ -1 & 0\end{smallmatrix} \right]\) and suppose that \[ c_0:=\sup_{x\geq 0} | Q(x)| < \infty .
Joó, I., Minkin, A.
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