Coherent States of the SU(N) groups

Coherent states $(CS)$ of the $SU(N)$ groups are constructed explicitly and their properties are investigated. They represent a nontrivial generalization of the spining $CS$ of the $SU(2)$ group. The $CS$ are parametrized by the points of the coset space, which is, in that particular case, the projective space $CP^{N-1}$ and plays the role of the phase space of a corresponding classical mechanics. The $CS$ possess of a minimum uncertainty, they minimize an invariant dispersion of the quadratic Casimir operator. The classical limit is ivestigated in terms of symbols of operators. The role of the Planck constant playes $h=P^{-1}$, where $P$ is the signature of the representation. The classical limit of the so called star commutator generates the Poisson bracket in the $CP^{N-1}$ phase space. The logarithm of the modulus of the $CS$ overlapping, being interpreted as a symmetric in the space, gives the Fubini-Study metric in $CP^{N-1}$. The $CS$ constructed are useful for the quasi-classical analysis of the quantum equations of the $SU(N)$ gauge symmetric theories.Comment: 19pg, IFUSP/P-974 March/199

Fractional Generalization of Gradient Systems

We consider a fractional generalization of gradient systems. We use differential forms and exterior derivatives of fractional orders. Examples of fractional gradient systems are considered. We describe the stationary states of these systems.Comment: 11 pages, LaTe

“I know what a podcast Is” : post-Serial fiction and podcast media identity

This chapter seeks to assert that podcasts are a distinct media form and that although they might exhibit a ‘radioness’, they should be treated as a medium in their own right. This distinctiveness has been achieved over time through a process in which podcasters have asserted their own media identity. The chapter maps this development process using business models and a survey of practising podcasters, concluding that a new lens of ‘podcast studies’ is required to fully appreciate the nuances of this medium

Subjectivity 2.0 : digital technologies, participatory media and communicative capitalism

Drawing on observations and focus group material from pervasive drama project, The Memory Dealer, this article explores both the dynamics and the limitations of existing models of digital subjectivity. It interrogates, in particular, constructions of the digital subject within critical internet studies, focusing on the work of Jodi Dean. This model of subjectivity argues that participatory digital media are a conduit through which the subject is ‘captured’ and shaped to suit the needs of capital. It is suggested here, however, that framing subjective engagements with technology as inevitably being relations of capture, is dangerous in foreclosing scope for resistance and inter-subjective political action. The article ultimately argues that there is a need to reconceptualise the digital subject away from models of capture and towards a more situated, material analysis of the affordances enabled by subjective entanglements with technology