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2005, illustrated edition, Oxford graduate texts, ISBN 9780198567264, Volume 9780198567264, xx, 597
This book provides an innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to... 
Mechanics, Analytic | Physics | Science | Quantum theory | Hamiltonian theory | Dirac's formalism | Lorenz transformation | Classical mechanics | Special relativity | Quantum mechanics | Dyadics | Analytical mechanics | Newtonian physics | Relativistic mechanics
Book
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2014, Volume 36, Issue 4, pp. A1581 - A1608
In lattice quantum chromodynamics (QCD) computations a substantial amount of work is spent in solving discretized versions of the Dirac equation. Conventional... 
Aggregation | Adaptivity | Parallel computing | Multigrid | Multilevel | Lattice qcd | Domain decomposition | Wilson-Dirac operator | MATHEMATICS, APPLIED | ALPHA-SA | domain decomposition | multilevel | multigrid | aggregation | KRYLOV SUBSPACE METHODS | adaptivity | QCD | MASS | parallel computing | lattice QCD | Algebra | Computation | Lattices | Dirac equation | Solvers | Mathematical models | Quantum chromodynamics
Journal Article
2018, Springer Monographs in Mathematics, ISBN 3030021246, 324
This book deals with elliptic differential equations, providing the analytic background necessary for the treatment of associated spectral questions, and... 
eBook
Advances in Applied Clifford Algebras, ISSN 0188-7009, 3/2018, Volume 28, Issue 1, pp. 1 - 19
Journal Article
Physical Review Letters, ISSN 0031-9007, 10/2010, Volume 105, Issue 16, p. 162002
Journal Article
International Journal of Modern Physics D, ISSN 0218-2718, 12/2014, Volume 23, Issue 14, pp. 1444003 - 1-1444003-9
In this paper, we provide a new derivation of the Dirac equation which promptly generalizes to higher spins. We apply this idea to spin-half Elko dark matter. 
Dirac operator | kinematics | ELKO | SPINOR FIELDS | ASTRONOMY & ASTROPHYSICS | Derivation | Operators | Dark matter | Parity | Dirac equation
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 10/2019, Volume 293, Issue 1, pp. 485 - 502
We re-visit the eigenvalue estimate of the Dirac operator on spin manifolds with boundary in terms of the first eigenvalues of conformal Laplace operator as... 
Poincare–Einstein metric | Eigenvalue | Yamabe invariant | Mathematics, general | Mathematics | Dirac operator | Boundary condition | MATHEMATICS | CONSTANT MEAN-CURVATURE | CONFORMAL DEFORMATION | BOUNDARY-VALUE-PROBLEMS | MANIFOLDS | SPECTRAL ASYMMETRY | Poincare-Einstein metric
Journal Article
New Journal of Physics, ISSN 1367-2630, 2014, Volume 16, Issue 4, pp. 43012 - 9
Although the spin is regarded as a fundamental property of the electron, there is no universally accepted spin operator within the framework of relativistic... 
hydrogen-like ions | relativistic quantum mechanics | spin | DIRAC PARTICLE | TRANSFORMATION | PHYSICS, MULTIDISCIPLINARY | MOMENTUM | FIELD | SYSTEMS | STATE | POSITION OPERATORS | POLARIZATION | Operators (mathematics) | Hydrogen storage | Quantum mechanics | Angular momentum | Relativism | Electron spin | Relativistic effects | Operators | Charging | Algebra | Ground state | Proposals
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 01/2019, Volume 87, pp. 172 - 178
Given the spectrum of the Dirac operator, together with the potential on the half-interval and one boundary condition, this paper provides reconstruction of... 
Reconstruction | Dirac operator | Solvability | Hochstadt–Lieberman theorem | MATHEMATICS, APPLIED | Hochstadt-Lieberman theorem | SCHRODINGER
Journal Article
Classical and Quantum Gravity, ISSN 0264-9381, 07/2014, Volume 31, Issue 13, p. 135015
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2020, Volume 485, Issue 2, p. 123808
The fermionic projector state is a distinguished quasi-free state for the algebra of Dirac fields in a globally hyperbolic spacetime. We construct and analyze... 
Fermionic signature operator | de Sitter spacetime | Hadamard states | Dirac operator | Quantum field theory on curved spacetime | MATHEMATICS, APPLIED | STATES | TIMES | NONPERTURBATIVE CONSTRUCTION | QUANTUM-FIELD-THEORY | MATHEMATICS | HADAMARD CONDITION | PROJECTOR
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 09/2019, Volume 477, Issue 2, pp. 930 - 960
We develop the method of similar operators to study the spectral properties of unbounded perturbed linear operators that can be represented by matrices of... 
Operators with an Involution | Spectral asymptotic analysis | Method of similar operators | Dirac operator | Mathematics - Functional Analysis
Journal Article
Journal of High Energy Physics, ISSN 1126-6708, 3/2013, Volume 2013, Issue 3, pp. 1 - 34
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 08/2016, Volume 440, Issue 1, pp. 155 - 166
In this paper inverse problems for Dirac operator with nonlocal conditions are considered. Uniqueness theorems of inverse problems from the Weyl-type function... 
Dirac operator | Nonlocal conditions | Inverse spectral problems
Journal Article