Symmetry and Quantum Physics Talks:
J.A. de Azcárraga
"Some recent results on n-ary algebras"
José F. Cariñena
"A geometric approach to the Virial Theorem"
The
Virial's theorem both in the classical and in the quantum frameworks is
revisited from a modern geometric perspective by making use of the
symplectic formalism as an approach, both in the case of
Hamiltonian and Lagrangian systems. The theory of one-parameter groups
of non-strictly canonical transformations is shown to play a relevant
role and the particular case of systems with a position dependent mass
is also discussed. Using the modern symplectic approach to
Quantum Mechanics we arrive to the quantum Virial theorem in full
analogy with the classical case.
José María Cerveró
"Graphene at Salamanca: overview and new experimental and theoretical results"
After discussing some basics properties of Graphene, I shall be describing our present work at the Low Temperature Physics Lab at Salamanca with special emphasis in the experimental news on micro-Raman surveys in mono and bi-layer Graphene, the metal-insulator transitions and the consequences of the Dirac behavior and Klein paradox in barriers, with an eye on transport theory of electrons and holes in this surprising material.
Fernando Barbero
"Non-differenciable paths and quantum mechanics: the Takagi function"
Juan Bisquert
"Nanomateriales y nanotecnología para la producción de energía limpia"
Alessandro Fabbri
"Hawking radiation from acoustic black holes and white holes in BECs"
Pilar García
"Solitones
exóticos en una ecuación de Schrödinger no lineal en 2+1"
Abstract:
The Singular Manifold Method is used to generate lump solutions of a
generalized integrable nonlinear Schrödinger equation in 2+1
dimensions. We present several essentially different types of lump
solutions. The connection between this method and the
Ablowitz-Villarroel scheme is also analyzed.
Pedro F. Gonzalez-Díaz
"El estado cuántico del universo en el multiverso"
José Manuel Izquierdo
"Lie superalgebra expansions and supergravity"
We review the Lie (super)algebra expansions method, and explain how it can be used to obtain different CS actions from a given one. We also comment on some results concerning D=3 and D=11 supergravities.
José Luis Jaramillo
"The
Alexander-Víctor approach to the Gordian Knot: the case of the black
hole horizon Area-Charge-Angular Momentum inequalities"
We discuss a family of geometric inequalities holding in dynamical non-vacuum black hole spacetimes that provide a lower bound for the area of the apparent horizons. The discussion of the genericity of these inequalities summons the conceptual problem of the definition of a local gravitational angular momentum in General Relativity. We argue that the position here adopted shares some points (in a very personal interpretation) of the philosophy underlying Víctor's "Group Approach to Quantization" solution to the problem of quantizing the Poisson algebra of a classical system. This talk is meant as a personal tribute to Víctor's original view of, and enriching contribution to, theoretical and mathematical physics.
Jose Antonio Jimenez Madrid
"On importance of symmetries"
Juan Mateos Guilarte
"The Landau problem, Riemann surfaces, the quantum Hall effect"
Abstract:
Starting
from the solutions of the Dirac-Landau problem both in a plane and in a
genus 1 Riemann surface I will show how the vacuum charge density of
Dirac-Landau electrons prompts a quantized Hall conductivity. The
second goal, time permitting, is to construct the Laughlin and Haldane
variational states from Wilson operators in Chern-Simons effective
theories.
Guillermo Mena
"Determination of time dependent scalings in the Fock quantization of scalar fields"
Mariano del Olmo
"Dynamical Symmetries of the Tremblay-Turbiner-Winternitz Hamiltonians"
The Tremblay-Turbiner-Winternitz Hamiltonians constitute a family of Hamiltonian systems on the plane depending on a real parameter k, that for particular values of k are superintegrable. Using the factorization method we find a hierarchy of Tremblay-Turbiner-Winternitz Hamiltonians labeled by discrete indices. The shift operators (connecting eigenfunctions of different Hamiltonians of the hierarchy) as well the ladder operators (connecting eigenstates of a determined Hamiltonian) obtained in this way close different algebraic structures. These symmetry operators provide the study of this system.
Gonzalo J. Olmo
"Black Holes in Quadratic Palatini Gravity"
I present the
field equations of a quadratic extension of general relativity (GR)
formulated in the Palatini approach (assuming that metric and
connection are independent fields). Then I
discuss static, spherically symmetric solutions with an electric field
(Reissner-Nordstrom black holes). Unlike in GR, all the solutions of
this theory present a central core whose area is proportional to the
Planck area times the number of charges. Some of these solutions are
nonsingular. In this case, the mass-to-charge ratio implies that the
core matter density is independent of the specific amounts of charge
and mass and of order the Planck density.