M. Fernandes

Publications14
h-index7
Citations110
Highly Influential Citations8
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Groupoid symmetry and constraints in general relativity
When the vacuum Einstein equations are cast in the form of hamiltonian evolution equations, the initial data lie in the cotangent bundle of the manifold M\Sigma\ of riemannian metrics on a Cauchy… Expand
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Algebraic Criteria for Entanglement in Multipartite Systems
Abstract Quantum computing depends heavily on quantum entanglement. It has been known that geometric models for correlated two-state quantum systems (qubits) can be developed using geometric algebra.… Expand
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Groupoid symmetry and constraints in general relativity. 1: kinematics
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Image processing in a μc-Si:H p–i–n image transducer
Abstract A two-dimensional p–i–n imager based on μc-Si:H material is analysed. The basic building block for the sensor element is a transparent conductive oxide (TCO)/μc-p–i–n Si:H photodiode with… Expand
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The eye is the window to the diagnosis: tuberculous meningoencephalitis with choroidal tubercle
A 65-year-old Caucasian man with type 2 diabetes mellitus presented to the emergency department with subacute altered mental status, preceded by a 2-month history of progressive weight loss, anorexia… Expand
On the Generalized Phase Space Approach to Duffin-Kemmer-Petiau Particles
We present a general derivation of the Duffin-Kemmer-Petiau (D.K.P) equation on the relativistic phase space proposed by Bohm and Hiley. We consider geometric algebras and the idea of algebraic… Expand
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Quantum mechanics on phase space: The hydrogen atom and its Wigner functions
Abstract Symplectic quantum mechanics (SQM) considers a non-commutative algebra of functions on a phase space Γ and an associated Hilbert space H Γ , to construct a unitary representation for the… Expand
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Galilean-Covariant Clifford Algebras in the Phase-Space Representation
We apply the Galilean covariant formulation of quantum dynamics to derive the phase-space representation of the Pauli–Schrödinger equation for the density matrix of spin-1/2 particles in the presence… Expand
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Supersymmetric symplectic quantum mechanics
Abstract Symplectic Quantum Mechanics SQM considers a non-commutative algebra of functions on a phase space Γ and an associated Hilbert space H Γ to construct a unitary representation for the Galilei… Expand
Symplectic Field Theories: Scalar and Spinor Representations
Using elements of symmetry, as gauge invariance, aspects of field theories represented in symplectic space are introduced and analyzed under physical bases. The states of a system are described by… Expand