1,080 research outputs found
Generalized Fock Spaces and New Forms of Quantum Statistics
The recent discoveries of new forms of quantum statistics require a close
look at the under-lying Fock space structure. This exercise becomes all the
more important in order to provide a general classification scheme for various
forms of statistics, and establish interconnections among them whenever it is
possible. We formulate a theory of generalized Fock spaces, which has a three
tired structure consisting of Fock space, statistics and algebra. This general
formalism unifies various forms of statistics and algebras, which were earlier
considered to describe different systems. Besides, the formalism allows us to
construct many new kinds of quantum statistics and the associated algebras of
creation and destruction operators. Some of these are: orthostatistics, null
statistics or statistics of frozen order, quantum group based statistics and
its many avatars, and `doubly-infinite' statistics. The emergence of new forms
of quantum statistics for particles interacting with singular potential is also
highlighted.Comment: 9 pages, LaTex, Appeared in Spin-Statistics Connection and
Commutation Relations, edited by R.C. Hilborn and G.M. Tino, (American
Institute of Physics, NY, 2000) p. 16
A new mechanism for neutrino mass
A mechanism for generating massive but naturally light Dirac neutrinos is
proposed. It involves composite Higgs within the standard model as well as some
new interaction beyond the standard model. According to this scenario, a
neutrino mass of 0.1 eV or higher, signals new physics at energies of 10--100
TeV or lower.Comment: 8 pages latex file with 4 epsf figure
Fock Space Representation of Differential Calculus on the Noncommutative Quantum Space
A complete Fock space representation of the covariant differential calculus
on quantum space is constructed. The consistency criteria for the ensuing
algebraic structure, mapping to the canonical fermions and bosons and the
consequences of the new algebra for the statistics of quanta are analyzed and
discussed. The concept of statistical transmutation between bosons and fermions
is introduced
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