1,825 research outputs found
Altering the Symmetry of Wavefunctions in Quantum Algebras and Supersymmetry
The statistics-altering operators present in the limit of
multiparticle SU_q(2)-invariant subspaces parallel the action of such operators
which naturally occur in supersymmetric theories. We illustrate this
heuristically by comparison to a toy superymmetry algebra, and ask
whether there is a supersymmetry structure underlying SU(2)_q at that limit. We
remark on the relevance of such alternating-symmetry multiplets to the
construction of invariant hamiltonians.Comment: 6 page
Thermodynamic q-Distributions That Aren't
Bosonic q-oscillators commute with themselves and so their free distribution
is Planckian. In a cavity, their emission and absorption rates may grow or
shrink---and even diverge---but they nevertheless balance to yield the Planck
distribution via Einstein's equilibrium method, (a careless application of
which might produce spurious q-dependent distribution functions). This drives
home the point that the black-body energy distribution is not a handle for
distinguishing q-excitations from plain oscillators. A maximum cavity size is
suggested by the inverse critical frequency of such emission/absorption rates
at a given temperature, or a maximum temperature at a given frequency. To
remedy fragmentation of opinion on the subject, we provide some discussion,
context, and references.Comment: 7 pages, UW/PT-93-05, ANL-HEP-CP-93-39, Latex-Revtex [ Augmented list
of references, sound and not.
Branes, Strings, and Odd Quantum Nambu Brackets
The dynamics of topological open branes is controlled by Nambu Brackets.
Thus, they might be quantized through the consistent quantization of the
underlying Nambu brackets, including odd ones: these are reachable
systematically from even brackets, whose more tractable properties have been
detailed before.Comment: 12 pp, 1 fig, LateX2e/WS-procs9x6 macros. Contribution to the
proceedings of QTS3, 10-14 Sep 2003, Cincinnati, World Scientific (SPIRES
conf C03/09/10
A Classical Bound on Quantum Entropy
A classical upper bound for quantum entropy is identified and illustrated,
, involving the variance
in phase space of the classical limit distribution of a given system. A
fortiori, this further bounds the corresponding information-theoretical
generalizations of the quantum entropy proposed by Renyi.Comment: Latex2e, 7 pages, publication versio
A gauge theory of quantum mechanics
An Abelian gerbe is constructed over classical phase space. The 2-cocycles
defining the gerbe are given by Feynman path integrals whose integrands contain
the exponential of the Poincare-Cartan form. The U(1) gauge group on the gerbe
has a natural interpretation as the invariance group of the Schroedinger
equation on phase space.Comment:
The Cretaceous-Tertiary boundary marine extinction and global primary productivity collapse
The extinction of marine phyto-and zoo-plankton across the K-T boundary has been well documented. Such an event may have resulted in decreased photosynthetic fixation of carbon in surface waters and a collapse of the food chain in the marine biosphere. Because the vertical and horizontal distribution of the carbon isotopic composition of total dissolved carton (TDC) in the modern ocean is controlled by the transfer of organic carbon from the surface to deep reservoirs, it follows that a major disruption of the marine biosphere would have had a major effect on the distribution of carbon isotopes in the ocean. Negative carbon isotope excursions have been identified at many marine K-T boundary sequences worldwide and are interpreted as a signal of decreased oceanic primary productivity. However, the magnitude, duration and consequences of this productivity crisis have been poorly constrained. On the basis of planktonic and benthic calcareous microfossil carbon isotope and other geochemical data from DSDP Site 577 located on the Shatsky Rise in the north-central Pacific, as well as other sites, researchers have been able to provide a reasonable estimate of the duration and magnitude of this event
Canonical nonabelian dual transformations in supersymmetric field theories
A generating functional F is found for a canonical nonabelian dual transformation which maps the supersymmetric chiral O(4) \sigma-model to an equivalent supersymmetric extension of the dual \sigma-model. This F produces a mapping between the classical phase spaces of the two theories in which the bosonic (coordinate) fields transform nonlocally, the fermions undergo a local tangent space chiral rotation and all currents (fermionic and bosonic) mix locally. Purely bosonic curvature-free currents of the chiral model become a {\em symphysis} of purely bosonic and fermion bilinear currents of the dual theory. The corresponding transformation functional T which relates wavefunctions in the two quantum theories is argued to be {\em exactly} given by T=\exp(iF)
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