Dirac equation in a chromomagnetic field is solved for colored particle moving in limited space volume. Quantized energy levels and corresponding wave functions are found for a backgrounds both directed along third axes and having spherical symmetry. It was shown interrelation with the case of motion in infinite space volume. Quantum and classical mechanics of non-abelian charged particles has ...

On transformation to the Fourier space (k, ω), the partial differential Maxwell equations simplify to algebraic equations, and the Helmholtz theorem of vector calculus reduces to vector algebraic projections. Maxwell equations and their solutions can then be separated readily into longitudinal and transverse components relative to the direction of the wave vector k. The concepts of wave motion,...

On transformation to the Fourier space (k, ω), the partial differential Maxwell equations simplify to algebraic equations, and the Helmholtz theorem of vector calculus reduces to vector algebraic projections. Maxwell equations and their solutions can then be separated readily into longitudinal and transverse components relative to the direction of the wave vector k. The concepts of wave motion,...

The momentum dependence of the empirical scalar and vector potentials needed for describing relativistic heavy-ion collisions at 1 GeV/nucleon is compared with that derived from self-consistent Dirac-Brueckner calculations using the Bonn-A potential. Our calculated scalar and vector potentials exhibit a weak momentum dependence and their magnitudes decrease with nu-cleon momentum, in close simi...

The objects of the present study are one-parameter semigroups generated by Schrödinger operators with fairly general electromagnetic potentials. More precisely, we allow scalar potentials from the Kato class and impose on the vector potentials only local Kato-like conditions. The configuration space is supposed to be an arbitrary open subset of multidimensional Euclidean space; in case that it ...

A saddle point variational (SPV ) method was applied to the Dirac equation as an example of a fully relativistic equation with both negative and positive energy solutions. The effect of the negative energy states was mitigated by maximizing the energy with respect to a relevant parameter while at the same time minimizing it with respect to another parameter in the wave function. The Cornell pot...

Nucleon flow in Au+Au collisions at 1 GeV/nucleon region and dilepton spectra in S+Au collisions at SPS energies are analysed in the relativistic transport model. They are shown to be sensitive to the nucleon vector and scalar potentials, respectively, and are thus useful probes of these potentials in dense matter. A recently developed effective Lagrangian with self-interactions of vector as we...

We show that the generators of pseudospin symmetry are the non relativistic limit of the generators of an SU(2) symmetry which leaves invariant the Dirac Hamiltonian with scalar and vector potentials equal in magnitude but opposite in sign, VV = −VS. Furthermore, within this framework, we demonstrate that this symmetry may be approximately conserved for realistic scalar and vector potentials. P...

We show that the generators of pseudospin symmetry are the non relativistic limit of the generators of an SU(2) symmetry which leaves invariant the Dirac Hamiltonian with scalar and vector potentials equal in magnitude but opposite in sign, VV = −VS. Furthermore, we demonstrate that this symmetry may be approximately conserved for realistic scalar and vector potentials. PACS: 24.10.Jv, 21.60.Cs...

We propose a conjectural semiorthogonal decomposition for the derived category of moduli space stable rank 2 bundles with fixed determinant odd degree, independently formulated by Narasimhan. discuss some evidence for, and furthermore decompositions additional structure. also two other decompositions. One is this in Grothendieck ring varieties, which relates to various known motivic The critica...