The Dirac equation plays a key role in microscopic descriptions of many-fermion systems, employing covariant density functional theory and the relativistic mean-field approach. In application to nuclei and hadrons, the required Dirac mean-field Hamiltonian involves a mixture of Lorentz vector and scalar potentials. Recently, symmetries of Dirac Hamiltonians with such Lorentz structure were show...

It is shown that spatially homogeneous solutions of the Einstein equations coupled to a nonlinear scalar field and other matter exhibit accelerated expansion at late times for a wide variety of potentials V . These potentials are strictly positive but tend to zero at infinity. They satisfy restrictions on V ′/V and V ′′/V ′ related to the slow-roll approximation. These results generalize Wald’s...

We present a computer package designed to generate and test norm-conserving pseudo-potentials within Density Functional Theory. The generated pseudo-potentials can be either non-relativistic, scalar relativistic or fully relativistic and can explicitly include semi-core states. A wide range of exchange–correlation functionals is included.

The Symplectic Projector Method is applied to discuss quantisation aspects of an extended Abelian model with a pair of gauge potentials coupled by means of a mixed Chern-Simons term. We focuss on a field content that spans an N=2-D=3 supersymmetric theory whenever scalar and fermionic matter is suitably coupled to the family of gauge potentials.

We prove the Anderson localization near the bottom of the spectrum for two dimensional discrete Schrödinger operators with a class of random vector potentials and no scalar potentials. Main lemmas are the Lifshitz tail and the Wegner estimate on the integrated density of states. Then, the Anderson localization, i.e., the pure point spectrum with exponentially decreasing eigenfunctions, is prove...

The Symplectic Projector Method is applied to discuss quantisation aspects of an extended Abelian model with a pair of gauge potentials coupled by means of a mixed Chern-Simons term. We focuss on a field content that spans an N=2-D=3 supersymmetric theory whenever scalar and fermionic matter is suitably coupled to the family of gauge potentials.

Scalar field models are known for their dynamic nature, i.e., equations of state parameters to explain the late-time cosmic acceleration universe. The quintessence canonical scalar with a potential is one such which has been introduced account late time In present work, different kinds potentials (under cosmological model) mathematically investigated using tracking examine whether these show th...

We derive the scalar potential in zero mode effective action arising from a de Sitter brane embedded in five dimensions with bulk cosmological constant Λ. The scalar potential for a scalar field canonically normalized is given by the sum of exponential potentials. In the case of Λ = 0 and Λ > 0, we point out that the scalar potential has a unstable local maximum at the origin and exponentially ...

On one hand recent cosmological observations, and particuarly the Hubble diagram for Type Ia supernovae [1] have led to the idea that the universe may be dominated by a component with negative pressure [2] and thus that today the universe is accelerating. Such a component can also, if one sticks to the prediction of inflation that Ω = 1, account for the “missing energy”. Yet, many candidates ha...