1,166 research outputs found
Covalently Binding the Photosystem I to Carbon Nanotubes
We present a chemical route to covalently couple the photosystem I (PS I) to
carbon nanotubes (CNTs). Small linker molecules are used to connect the PS I to
the CNTs. Hybrid systems, consisting of CNTs and the PS I, promise new
photo-induced transport phenomena due to the outstanding optoelectronic
properties of the robust cyanobacteria membrane protein PS I
The local functors of points of Supermanifolds
We study the local functor of points (which we call the Weil-Berezin functor)
for smooth supermanifolds, providing a characterization, representability
theorems and applications to differential calculus
Highest weight Harish-Chandra supermodules and their geometric realizations
In this paper we discuss the highest weight -finite
representations of the pair consisting of ,
a real form of a complex basic Lie superalgebra of classical type
(), and the maximal compact subalgebra of
, together with their geometric global realizations. These
representations occur, as in the ordinary setting, in the superspaces of
sections of holomorphic super vector bundles on the associated Hermitian
superspaces .Comment: This article contains of part of the material originally posted as
arXiv:1503.03828 and arXiv:1511.01420. The rest of the material was posted as
arXiv:1801.07181 and will also appear in an enlarged version as subsequent
postin
SUSY structures, representations and Peter-Weyl theorem for
The real compact supergroup is analized from different perspectives
and its representation theory is studied. We prove it is the only (up to
isomorphism) supergroup, which is a real form of
with reduced Lie group , and a link with SUSY structures on is established. We describe a large family of complex semisimple
representations of and we show that any -representation
whose weights are all nonzero is a direct sum of members of our family. We also
compute the matrix elements of the members of this family and we give a proof
of the Peter-Weyl theorem for
Unitary representations of super Lie groups and applications to the classification and multiplet structure of super particles
It is well known that the category of super Lie groups (SLG) is equivalent to
the category of super Harish-Chandra pairs (SHCP). Using this equivalence, we
define the category of unitary representations (UR's) of a super Lie group. We
give an extension of the classical inducing construction and Mackey
imprimitivity theorem to this setting. We use our results to classify the
irreducible unitary representations of semidirect products of super translation
groups by classical Lie groups, in particular of the super Poincar\'e groups in
arbitrary dimension. Finally we compare our results with those in the physical
literature on the structure and classification of super multiplets.Comment: 55 pages LaTeX, some corrections added after comments by Prof. Pierre
Delign
Super Distributions, Analytic and Algebraic Super Harish-Chandra pairs
The purpose of this paper is to extend the theory of Super Harish-Chandra
pairs, originally developed by Koszul for Lie supergroups, to analytic and
algebraic supergroups, in order to obtain information also about their
representations. We also define the distribution superalgebra for algebraic and
analytic supergroups and study its relation with the universal enveloping
superalgebr
Constructing Extremal Compatible Quantum Observables by Means of Two Mutually Unbiased Bases
We describe a particular class of pairs of quantum observables which are extremal in the convex set of all pairs of compatible quantum observables. The pairs in this class are constructed as uniformly noisy versions of two mutually unbiased bases (MUB) with possibly different noise intensities affecting each basis. We show that not all pairs of MUB can be used in this construction, and we provide a criterion for determining those MUB that actually do yield extremal compatible observables. We apply our criterion to all pairs of Fourier conjugate MUB, and we prove that in this case extremality is achieved if and only if the quantum system Hilbert space is odd-dimensional. Remarkably, this fact is no longer true for general non-Fourier conjugate MUB, as we show in an example. Therefore, the presence or the absence of extremality is a concrete geometric manifestation of MUB inequivalence, that already materializes by comparing sets of no more than two bases at a time
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