911 research outputs found
Phase diagram of two dimensional electron gas in a perpendicular magnetic field around Landau level filling factors \nu=1 and \nu=3
The measured melting curve between the crystal and liquid phases
is analyzed using thermodynamics to extract the change of magnetization as a function of the Landau level filling factor \ near . \ An
explanation of ( is proposed \ in terms of Skyrmions. \ Near
, a Wigner crystal is the most probable solid phase, experiments
excluding Skyrmions.Comment: 5 pages, 4 figure
Renormalized Wick expansion for a modified PQCD
The renormalization scheme for the Wick expansion of a modified version of
the perturbative QCD introduced in previous works is discussed. Massless QCD is
considered, by implementing the usual multiplicative scaling of the gluon and
quark wave functions and vertices. However, also massive quark and gluon
counter-terms are allowed in this mass less theory since the condensates are
expected to generate masses. A natural set of expansion parameters of the
physical quantities is introduced: the coupling itself and to masses and
associated to quarks and gluons respectively. This procedure allows to
implement a dimensional transmutation effect through these new mass scales. A
general expression for the new generating functional in terms of the mass
parameters and is obtained in terms of integrals over arbitrary but
constant gluon or quark fields in each case. Further, the one loop potential,
is evaluated in more detail in the case when only the quark condensate is
retained. This lowest order result again indicates the dynamical generation of
quark condensates in the vacuum.Comment: 13 pages, one figur
On Scale Invariance and Anomalies in Quantum Mechanics
We re-consider the quantum mechanics of scale invariant potentials in two
dimensions. The breaking of scale invariance by quantum effects is analyzed by
the explicit evaluation of the phase shift and the self-adjoint extension
method. We argue that the breaking of scale invariance reported in the
literature for the (r) potential, is an example of explicit and not an
anomaly or quantum mechanical symmetry breaking.Comment: 15 pp in latex, no figure
On the uniqueness of the surface sources of evoked potentials
The uniqueness of a surface density of sources localized inside a spatial
region and producing a given electric potential distribution in its
boundary is revisited. The situation in which is filled with various
metallic subregions, each one having a definite constant value for the electric
conductivity is considered. It is argued that the knowledge of the potential in
all fully determines the surface density of sources over a wide class of
surfaces supporting them. The class can be defined as a union of an arbitrary
but finite number of open or closed surfaces. The only restriction upon them is
that no one of the closed surfaces contains inside it another (nesting) of the
closed or open surfaces.Comment: 16 pages, 5 figure
A Proposal for a Modified Moller-Plesset Perturbation Theory
A modified version of the Moller-Plesset approach for obtaining the
correlation energy associated to a Hartree-Fock ground state is proposed. The
method is tested in a model of interacting fermions that allows for an exact
solution. Using up to third order terms improved results are obtained, even
more accurate in the limit of loosely bound particles. This result suggests the
possible convenience of the scheme for the study of chemical bound problems.Comment: 10 pages, 1 figur
Semana de divulgaciĂłn de conocimientos : I semana europea de la ciencia y la tecnologĂa en Melilla
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