3,104 research outputs found
Classical q-deformed dynamics
On the basis of the quantum q-oscillator algebra in the framework of quantum
groups and non-commutative q-differential calculus, we investigate a possible
q-deformation of the classical Poisson bracket in order to extend a generalized
q-deformed dynamics in the classical regime. In this framework, classical
q-deformed kinetic equations, Kramers and Fokker-Planck equations, are also
studied.
Pacs: 05.20.Dd, 45.20.-d, 02.20.Uw
Keywords: Kinetic theory, q-deformed classical mechanics, quantum groups,
quantum algebrasComment: 8 pages, RevTex4; contribution to the international conference "Next
Sigma Phi" on News, EXpectations, and Trends in statistical physics, Crete
200
A Note on 1-Edge Balance Index Set
A graph labeling is an assignment of integers to the vertices or edges or both, subject to certain conditions. Varieties of graph labeling have been investigated by many authors [2], [3] [5] and they serve as useful models for broad range of applications
The Nonexistence of Instrumental Variables
The method of instrumental variables (IV) and the generalized method of moments (GMM) has become a central technique in health economics as a method to help to disentangle the complex question of causality. However the application of these techniques require data on a sufficient number of instrumental variables which are both independent and relevant. We argue that in general such instruments cannot exist. This is a reason for the widespread finding of weak instruments.
Deformed quantum statistics in two-dimensions
It is known from the early work of May in 1964 that ideal Bose gas do not
exhibit condensation phenomenon in two dimensions. On the other hand, it is
also known that the thermostatistics arising from q-deformed oscillator algebra
has no connection with the spatial dimensions of the system. Our recent work
concerns the study of important thermodynamic functions such as the entropy,
occupation number, internal energy and specific heat in ordinary three spatial
dimensions, where we established that such thermostatistics is developed by
consistently replacing the ordinary thermodynamic derivatives by the Jackson
derivatives. The thermostatistics of q-deformed bosons and fermions in two
spatial dimensions is an unresolved question and that is the subject of this
investigation. We study the principal thermodynamic functions of both bosons
and fermions in the two dimensional q-deformed formalism and we find that,
different from the standard case, the specific heat of q-boson and q-fermion
ideal gas, at fixed temperature and number of particle, are no longer
identical.Comment: 8 pages, 6 figure
Transformations of q-boson and q-fermion algebras
We investigate the algebras satisfied by q-deformed boson and fermion
oscillators, in particular the transformations of the algebra from one form to
another. Based on a specific algebra proposed in recent literature, we show
that the algebra of deformed fermions can be transformed to that of undeformed
standard fermions. Furthermore we also show that the algebra of q-deformed
fermions can be transformed to that of undeformed standard bosons.Comment: 7 pages, RevTe
A multicomponent model of the infrared emission from Comet Halley
A model based on a mixture of coated silicates and amorphous carbon grains produces a good spectral match to the available Halley data and is consistent with the compositional and morphological information derived from interplanetary dust particle studies and Halley flyby data. The dark appearance of comets may be due to carbonaceous coatings on the dominant (by mass) silicates. The lack of a 10 micrometer feature may be due to the presence of large silicate grains. The optical properties of pure materials apparently are not representative of cometary materials. The determination of the optical properties of additional silicates and carbonaceous materials would clearly be of use
A second look at the toric h-polynomial of a cubical complex
We provide an explicit formula for the toric -contribution of each cubical
shelling component, and a new combinatorial model to prove Clara Chan's result
on the non-negativity of these contributions. Our model allows for a variant of
the Gessel-Shapiro result on the -polynomial of the cubical lattice, this
variant may be shown by simple inclusion-exclusion. We establish an isomorphism
between our model and Chan's model and provide a reinterpretation in terms of
noncrossing partitions. By discovering another variant of the Gessel-Shapiro
result in the work of Denise and Simion, we find evidence that the toric
-polynomials of cubes are related to the Morgan-Voyce polynomials via
Viennot's combinatorial theory of orthogonal polynomials.Comment: Minor correction
Effect of Thermal Annealing on Boron Diffusion, Micro-structural, Electrical and Magnetic properties of Laser Ablated CoFeB Thin Films
We report on Boron diffusion and subsequent crystallization of
CoFeB (CoFeB) thin films on SiO/Si(001) substrate
using pulsed laser deposition. Secondary ion mass spectroscopy reveals Boron
diffusion at the interface in both amorphous and crystalline phase of CoFeB.
High-resolution transmission electron microscopy reveals a small fraction of
nano-crystallites embedded in the amorphous matrix of CoFeB. However, annealing
at 400C results in crystallization of CoFe with \textit{bcc} structure
along (110) orientation. As-deposited films are non-metallic in nature with the
coercivity (H) of 5Oe while the films annealed at 400C are metallic
with a H of 135Oe.Comment: 16 pages, 6 figure
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